Nonlinear system. Medical search. Frequent questions

Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. (wikipedia.org)
In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in them. (wikipedia.org)
Systems can be defined as nonlinear, regardless of whether known linear functions appear in the equations. (wikipedia.org)
As nonlinear dynamical equations are difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization). (wikipedia.org)
Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. (wikipedia.org)
Nevertheless, in the case of the systems with a finite number of complex solutions, these systems of polynomial equations are now well understood and efficient methods exist for solving them. (wikipedia.org)
By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. (doverpublications.com)
Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. (doverpublications.com)
We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces. (projecteuclid.org)
Yuping Cao, Chuanzhi Bai "Existence Results for a Coupled System of Nonlinear Fractional Differential Equations in Banach Spaces," Journal of Applied Mathematics, J. Appl. (projecteuclid.org)
Z. Biró , Stability of travelling waves for degenerate reaction-diffusion equations of KPP-type, Advanced Nonlinear Studies , 2 (2002), 357-371. (aimsciences.org)
This collection of videos provides many examples solving non-linear systems of equations (problems where the exponent on a variable is 2), where the solutions show the points of intersection of the graphs. (mathvids.com)
Specific systems include Mathews-Lakshmanan oscillators, modified Emden equations, isochronous oscillators and generalizations. (harvard.edu)
package BB , in particular, its capabilities for solving a nonlinear system of equations. (jstatsoft.org)
We demonstrate the utility of these functions for solving: (a) large systems of nonlinear equations, (b) smooth, nonlinear estimating equations in statistical modeling, and (c) non-smooth estimating equations arising in rank-based regression modeling of censored failure time data. (jstatsoft.org)
An n-th order nonlinear autonomous system is described by a set of n first order differential equations of the type dxi/dt=xi(x1, x2, …xn) i=1,2,…n. (purdue.edu)
Several Liapunov's functions, applicable to systems described in the canonic form of differential equations, have been reported in the literature. (purdue.edu)
In this report, it is shown that any autonomous closed-loop system containing a single nonlinear element can be described by canonic differential equations. (purdue.edu)
Periodic solutions for nonlinear elliptic equations. (esaim-m2an.org)
Nonlinear elliptic equations / periodic solutions / existence and uniqueness / electron beam focusing system. (esaim-m2an.org)

This paper develops a nonlinear impulsive control approach to stabilize discrete-time dynamical systems. (aimsciences.org)
X. Xie , H. Xu , X. Cheng and Y. Yu , Improved results on exponential stability of discrete-time switched delay systems, Discrete & Continuous Dynamical Systems-Series B , 22 (2017), 199-208. (aimsciences.org)
In this article, we present a brief overview of some of the recent progress made in identifying and generating finite dimensional integrable nonlinear dynamical systems, exhibiting interesting oscillatory and other solution properties, including quantum aspects. (harvard.edu)
2011. Optimal reconstruction of dynamical systems: A noise amplification approach. (lu.se)
Insect flight is a strongly nonlinear and actuated dynamical system. (bvsalud.org)
Mother-infant interaction and quality of child s attachment: A nonlinear dynamical systems approach. (bvsalud.org)

This course is an introduction to nonlinear dynamics with applications to biology targeted to junior/senior engineering students and 1st year graduate students in engineering and quantitative life sciences. (openwetware.org)
Theory and applications of nonlinear dynamics of extended systems including nonlinear waves, pattern formation, turbulence, self-organized criticality and networks. (umd.edu)
Country-specific mortality data generally provide a more reliable characterization of the key epidemic dynamics than data on reported confirmed COVID-19 cases, which rely on widely different testing and reporting systems that can vary temporally and spatially and be subject to various ascertainment rates. (cdc.gov)
Nonlinear deformations are a key ingredient for applications of rheologically complex materials, e.g. for the processing of polymeric materials stretching, orientation, dissentaglement of polymer chains occurs, with the interactions between flow field and constituents dictating the overall flow dynamics and subsequent material properties/performance. (lu.se)
The effects of orientation dynamics and morphological fingerprinting are highlighted, with rheological percolation thresholds determined with superior sensitivity using nonlinear material parameters and nonlinear features hinting at the filler morphology of percolated network dynamic response. (lu.se)

This paper investigates the stabilization problem for a class of nonlinear systems, whose control coefficient is uncertain and varies continuously in value and sign. (hindawi.com)

Qingyu Su, Xiaolong Jia, Zhengfan Song "Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems," Abstract and Applied Analysis, Abstr. (projecteuclid.org)
X. Xie, H. Xu and R. Zhang, Exponential stabilization of impulsive switched systems with time delays using guaranteed cost control, Abstract and Applied Analysi , 2014 (2014), Art. (aimsciences.org)

This thesis proposes a modular large-signal RF device characterization system, and a non- linear behavioral model capable of handling strongly nonlinear unmatched RF transistors, each necessary to streamline the design process and achieve a first-pass PA design. (uwaterloo.ca)
The second part of the thesis researches black-box frequency-domain behavioral mod- els that can approximate strongly nonlinear, unmatched devices. (uwaterloo.ca)
While this addresses the fictitious need for higher-order models due to the deficiencies in the model extraction procedure, strongly nonlinear devices will require high-order models to achieve the targeted accuracy over a larger measurement distribution. (uwaterloo.ca)

Introduction to nonlinear control and estimation in physical and biological systems. (mit.edu)
Adaptive nonlinear control and estimation. (mit.edu)
This session focuses on recent advances in the theory and applications of state estimation and control of uncertain nonlinear systems. (confex.com)
An extended Kalman filter (EKF) based displacement estimation method for nonlinear SDOF systems under seismic excitation is proposed. (go.jp)
Autoregressive time series prediction by means of fuzzy inference systems using nonparametric residual variance estimation. (lu.se)

It follows that some aspects of the dynamic behavior of a nonlinear system can appear to be counterintuitive, unpredictable or even chaotic. (wikipedia.org)
The best known model for numerically simulating the hysteretic behavior of various structural components is the bilinear hysteretic system. (researchgate.net)
The results show that the complex nonlinear shear behavior of high damping rubber bearings can be correctly simulated by a parallel system which consists of only one component, namely the trilinear hysteretic system of the first type. (researchgate.net)
The complex Ginzburg-Landau equation and a chemical reaction-diffusion model are used to demonstrate the feasibility of this nonlinear negative refraction behavior in practice. (edpsciences.org)
If ebook recent results on nonlinear delay control systems in understand found after a total behavior, the joint localities will securely be systematically from the other beginners not been in the Adaptive series, and much if the older mountains are written altitude, which is a unconscious in the sudden work of the plan since the optimal state of translation to the specific doctrine. (singlewheel.com)

In particular, a differential equation is linear if it is linear in terms of the unknown function and its derivatives, even if nonlinear in terms of the other variables appearing in it. (wikipedia.org)
So, this is a nonlinear differential equation system. (stackexchange.com)

We demonstrate that unlike what happens in linear optics, negative refraction of nonlinear waves does not depend on the presence of the special left-handed material, but depends on suitable physical condition. (edpsciences.org)
It is so occasional to be, that egalitarian pebbles will like found in an marine opera in boundary of the astronomy of great waves, the shoal of unaltered decisions, the analysis of systems, the stony Text of same minutes, the list of several members, the M of differential strategies, and natural sides. (singlewheel.com)

A nonsmoothed controller is constructed by using the recursive design method to solve the fixed-time stabilization problem of high-order nonlinear interconnected systems [ 14 ]. (hindawi.com)
Therefore, nolinear quantum mechanics is a necessary result of development of quantum mechanics and represents correctly the properties of microscopic particles in nonlinear systems, which can solve difficulties and problems disputed for about a century by scientists in linear quantum mechanics field. (scirp.org)

X. Liu and K. L. Teo , Impulsive control of chaotic system, International Journal of Bifurcation and Chaos , 12 (2002), 1181-1190. (aimsciences.org)
Semiconductor Superlattices: A model system for nonlinear transport , Physics Reports 357 , 1-111 (2002) (Review article) . (lu.se)

Liapunov's second (direct) method is used in the stability analysis of such systems. (purdue.edu)
The results of this research indicate that the second method of Liapunov is a very powerfuI tool of exact stability analysis of nonlinear systems. (purdue.edu)

The control design for nonlinear uncertain systems has been the research focus in the community for decades [ 1 - 3 ]. (hindawi.com)

It is even difficult to decide whether a given algebraic system has complex solutions (see Hilbert's Nullstellensatz). (wikipedia.org)
Numerical tests show these changes improve the solver's performance on a standard suite of nonlinear algebraic systems. (nist.gov)

Among these studies, an adaptive function was proposed by Nussbaum [ 9 ] for linear time-invariant systems to deal with the uncertain but constant control coefficient. (hindawi.com)
Through the simulation experiment of single variable and multivariable nonlinear systems, the simulation results shown that the predictive control method has an excellent adaptive ability and robustness. (wseas.org)

Ji Wung Jeong, Ho Suk Yeon, Kang-Bak Park "Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems," Abstract and Applied Analysis, Abstr. (projecteuclid.org)
With the graph active, select the menu item Analysis: Fitting: Nonlinear Curve Fit to bring up the NLFit dialog. (originlab.com)
Nonlinear stability theory, Lyapunov analysis, Barbalat's lemma. (mit.edu)
This report deals with problems in the analysis and design of nonlinear control systems. (dtic.mil)
In particular, the topics of worst case error analysis, stability of linear and nonlinear time-varying systems, optimum control with bounded state variables and computational solutions of optimization problems are treated. (dtic.mil)
Nonlinear frequency-domain analysis of the transformation of cortical inputs by a motoneuron pool-muscle complex. (github.com)
Additional research, especially in the direction of the methods of construction of Liapunov's functions, will not only yield new analysis and synthesis procedures, but also will aid in arriving at a set of meaningful performance specifications for nonlinear control systems. (purdue.edu)
2013. Forecasting natural gas spot prices with nonlinear modeling using Gamma test analysis. (lu.se)
Dependent Nonlinear Analysis of Hedge Funds. (lu.se)
Administration, provided mortality data from the Medicare puter systems analysis and design, and played a major role in program that were used at age 85 years and over. (cdc.gov)
Error analysis, orthogonal systems, L2 approximation and error estimates. (lu.se)

The department of Science and Technology-Science and Engineering Research Board, government of India and Indian Society of Systems for Science and Engineering sponsored 3-day workshop on 'Machine Learning Concepts for Modelling and Control of Nonlinear Systems' was inaugurated by Dr Ravindra D Gudi, dean Alumni and Corporate affairs, IIT Mumbai on Jun 27 at MIT Manipal. (daijiworld.com)
This thesis provides a comprehensive approach to the characterization and modelling of large-signal nonlinear RF/microwave devices, circuits and systems. (uwaterloo.ca)
Finally, a concurrent dual-band PA design is studied as an example of how the pro- iv posed nonlinear characterization system and behavioural modelling approach can be used to enable complex PA designs. (uwaterloo.ca)

Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed-time convergence problem into the finite-time convergence problem of a transformed time-varying system. (hindawi.com)
On the other hand, the systems cannot be linearized at the origin or cannot be controlled after linearization when the power of the high-order nonlinear system is not 1, which makes it difficult to control [ 2 ]. (hindawi.com)
1) A control method based on time-domain mapping is proposed, which transforms the nonsingular fixed-time stabilization problem of the original system into the finite-time stabilization problem of the corresponding time-varying system and provides a new idea for the design of the fixed-time convergence control law. (hindawi.com)
The proposed control guarantees the asymptotic stabilization of the system and boundedness of all closed-loop signals. (hindawi.com)
This special type of uncertainty is vital to control performance, because the control coefficient represents the system motion direction under any control, and unsuccessful controllers may lead to positive feedback and instability. (hindawi.com)
Now, the Nussbaum function has already become a standard technique targeting the uncertain control coefficient for both linear and nonlinear systems [ 18 , 19 ]. (hindawi.com)
The first attempt in addressing the problem of sign-varying uncertain control coefficient for a scalar nonlinear system was reported in [ 7 ]. (hindawi.com)
An impulsive control is one of the important stabilizing control strategies and exhibits many strong system performances such as shorten action time, low power consumption, effective resistance to uncertainty. (aimsciences.org)
Furthermore, an Ishi chaotic neural network is effectively stabilized by a designed nonlinear impulsive control. (aimsciences.org)
H. Xu and K. L. Teo , Stabilizability of discrete chaotic systems via unified impulsive control, Physics Letters A , 374 (2009), 235-240. (aimsciences.org)
T. Yang , L. Yang and C. Yang , Impulsive control of Lorenz system, Physica D , 110 (1997), 18-24. (aimsciences.org)
Given a stochastic nonlinear system controlled over a possibly noisy communication channel, the paper studies the largest class of channels for which there exist coding and control policies so that the closed-loop system is stochastically stable. (arxiv.org)
In order to improve control performance of nonlinear systems, a predictive control method based on improved free search algorithm and least square support vector machine was proposed. (wseas.org)
This predictive control method utilized least square support vector machine to estimate the nonlinear system model and forecast the output value. (wseas.org)
This predictive control method can be used to design effective controllers for nonlinear systems with unknown mathematical models. (wseas.org)
Stein is an common ebook recent results on nonlinear delay control of Concerning Jung's cookies and set on the good year and strong events. (singlewheel.com)
Stability of Nonlinear Control Systems by the Second Method of Liapuno" by John E. Gibson, Eccles S. McVey et al. (purdue.edu)
This report investigates the stability of autonomous closed-loop control systems containing nonlinear elements. (purdue.edu)
Other methods of constructing Liapunov's functions for nonlinear control systems are presented in Chapter III, These include the work of Pliss, Aizerman and Krasovski. (purdue.edu)
Numerous other procedures, which have been reported in literature, apply to only very special cases of automatic control systems. (purdue.edu)

9 December 2021 - The WHO Regional Office for the Eastern Mediterranean and the United Nations System Staff College (UNSSC) today hosted the final leadership lecture as part of their joint Leadership Programme on Epidemic and Pandemic Preparedness and Response with Dr Tedros Adhanom Ghebreyesus, WHO's Director-General. (who.int)

iii As a first step, a large-signal characterization system has been developed to measure the multi-harmonic frequency response of RF transistors and has the ability to i) Perform high-power measurements, ii) Characterize unmatched transistors, iii) Operate the DUT under any possible operating condition, iv) Synthesize any multi-harmonic stimulus, and v) Reconstruct the time-domain I/V waveforms at the ports of the DUT. (uwaterloo.ca)
The proposed characterization system eliminates fragmentation between measurement and simulation environments by providing seamless integration with Harmonic Balance simulations. (uwaterloo.ca)
This model is extracted by utilizing the proposed characterization system to extract higher-order multi-variate model coefficients not included in the PHD model. (uwaterloo.ca)

Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. (wikipedia.org)
We turn to natural systems for inspiration since they inherently demonstrate network pruning with the consequence of yielding more efficient networks for a specific set of tasks. (bvsalud.org)

This paper proposes a measure of the deviation between a nonlinear equation and its affine model, and demonstrates applications to nonlinear systems. (nist.gov)
Therefore, this paper proposes a nonlinear bypass route computation method considering the wireless resource sharing among dead nodes for the NeCo system. (mdpi.com)

For high-order nonlinear system, the finite-time stabilization is studied from different perspectives in [ 1 - 6 ]. (hindawi.com)
As a special finite-time stabilization method, it requires that the convergence time of the system be bounded and the upper bound be independent of the initial state, which can be set in advance. (hindawi.com)
by using the power integration method, the finite-time stabilization problem of the time-varying system is realized. (hindawi.com)
It is shown that the proposed surface is a superset of a conventional nonsingular terminal sliding surface which guarantees that the system state gets to zero in finite time. (projecteuclid.org)

Pang, X.F. (1985) The fundamental principles and theory of nonlinear quantum mechanics. (scirp.org)
Borrowing again from systems theory, the university system has multiple inputs and outputs that interact and influence each other in a nonlinear fashion. (evolllution.com)

By extending the existing, adding a power integrator technique into the considered time-varying system, a periodic controller is constructed to stabilize the original system in fixed time. (hindawi.com)

Incentives to Cultivate Favored Minorities under Alternative Electoral Systems ," Discussion Papers 1000, Northwestern University, Center for Mathematical Studies in Economics and Management Science. (repec.org)
As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. (esaim-m2an.org)

Sufficient conditions for asymptotical stability of discrete-time impulsively controlled systems are derived. (aimsciences.org)

Aggregating across a nonlinear system indicates the spatial extent of the system model's predicitive capability, and, unlike a cost function, reflects direction as well as length differences between the predicted and actual residuals. (nist.gov)

In this work, we reveal, by theoretical prediction and numerical verification, negative refraction in nonlinear oscillatory systems. (edpsciences.org)
In this paper, recursive Bobrovsky-Zakai bounds for filtering, prediction and smoothing of nonlinear dynamic systems are presented. (diva-portal.org)

The results show that variation in the material parameters of the base isolation system produce a nonstationary effect in the response. (researchgate.net)

This term is disputed by others: Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals. (wikipedia.org)
Ulam observed, to speak of "nonlinear science" is like calling zoology the study of "nonelephant animals" (quoted in Campbell et al. (lu.se)

In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. (wikipedia.org)

Concretely speaking, we investigate the wave-particle duality of the solution of the nonlinear Schr?dinger equation, the mechanism and rules of particle collision and the uncertainty relation of particle's momentum and position, and so on. (scirp.org)
Leadership development in times of uncertainty requires non-linear approaches to problem-solving, including systems thinking and multisectoral responses. (who.int)

Since existing results about fixed-time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed-time stabilization of more general high-order nonlinear systems. (hindawi.com)

In recent years, more and more attention has been paid to the controller design of high-order nonlinear systems due to its wide application in modeling aerospace craft, rigid robotic systems, and machine systems with underactuation, weak coupling, and instability [ 1 - 4 ]. (hindawi.com)
Pruning deep neural networks generates a sparse, bio-inspired nonlinear controller for insect flight. (bvsalud.org)

rnwatanabe/FROLSIdentification: A set of Matlab/Octave files that performs a method of Nonlinear System Identification. (github.com)
A set of Matlab/Octave files that performs a method of Nonlinear System Identification. (github.com)
By refining the existing PolyTrend algorithm written in MATLAB and embedding it in a web environment, the PolyTrend web-based system has proved its ability in monitoring global vegetation trends using raw time-series NDVI satellite imagery. (lu.se)

In terms of numerical modeling, a single-degree-of-freedom system is used here with a new five-parameter trilinear hysteretic model for the simulation of the high damping rubber bearing, coupled with a Coulomb friction model for the simulation of the low friction sliders. (researchgate.net)

J]. IEEE Transactions on Neural Networks and Learning Systems, 2012, 32(2): 330-341. (wseas.org)

Politically Feasible Reforms of Non-Linear Tax Systems ," CESifo Working Paper Series 6573, CESifo. (repec.org)
Politically Feasible Reforms of Non-Linear Tax Systems ," Rationality and Competition Discussion Paper Series 236, CRC TRR 190 Rationality and Competition. (repec.org)

A. Khadra , X. Z. Liu and X. Shen , Synchronizing chaotic systems with delay and applications to secure communication, Automatica , 41 (2005), 1491-1502. (aimsciences.org)
This key enables other applications to access data from within Indico even when you are neither using nor logged into the Indico system yourself with the link provided. (lu.se)

The fundamental principles of nonlinear quantum mechanics are proposed and established based on these shortcomings of quantum mechanics and real motions and interactions of microscopic particles and backgound field in physical systems. (scirp.org)
From these studies we see clearly that the moved rules and features of microscopic particle in nonlinear quantum mechanics is different from those in linear quantum mechanics. (scirp.org)
Pang, X.F. (1985) Problems of nonlinear quantum mechanics. (scirp.org)

A primary method for fixed-time stabilization is proposed in [ 8 ], which successfully solved the problem of fixed-time stabilization for linear systems with only matching uncertainties. (hindawi.com)
In this method, time intervals where the system experiences significant nonlinearity or not are firstly distinguished. (go.jp)
The proposed method is studied on an SDOF system with a bi-linear hysteresis model in detail and further verified considering various hysteresis models and earthquake excitations. (go.jp)
This method enables one to prove that a system is stable (or unstable) if a function V=V (x1, x2, … xn) can be found which, together with its time derivative, satisfies the requirements of Liapunov's stability (or instability) theorems. (purdue.edu)

The PolyTrend web-based system allows users to define the value of statistical significance of the PolyTrend algorithm, the. (lu.se)
The PolyTrend web-based system allows users to define the value of statistical significance of the PolyTrend algorithm, the nominal range of the input data, and the range of desired NDVI input to be processed. (lu.se)
Harrington of the Systems, Programming, and Statistical variances. (cdc.gov)
Miller and typeset by Zung T. N. Le of the Publications of the Systems, Programming, and Statistical Resources Branch, Branch, Division of Data Services. (cdc.gov)

Superliquidus volumes were determined using double Pt bob Archimedean densitometry at temperatures up to 1,650°C and double Ir bob densitometry at 1,800°C. Experimental access to liquid volumes near the glass transition temperatures (680-920°C) and at superliquidus temperatures (1,400-1,800°C) for these compositions results in the observation of a nonlinear temperature dependence of molar volume, i.e., temperature-dependent thermal expansivities. (uni-muenchen.de)
What's more, the initial decline across many outputs that results from the change in an input is a characteristic of a non-minimum phase system, and leads to the abandonment of otherwise sound strategy because the immediate response was not as predicted. (evolllution.com)

The successful and effective CAD tool based PA design relies on the availability of accurate nonlinear models to mimic the electro-thermal behaviour of RF transistors. (uwaterloo.ca)

Following up on the model development , the present study employs Monte-Carlo simulations in order to investigate the effect of the unavoidable variation in the values of the six-parameter model on the response of the base isolation system. (researchgate.net)
KOHN, A. F. System identification of a motor unit pool using a realistic neuromusculoskeletal model. (github.com)
First, improving the accuracy of a first-order expansion-based Poly-Harmonic Distortion (PHD) model by 5dB, in terms of Normalized Mean-Squared Error (NMSE), by minimizing multi-harmonic reflections that artificially increase the order of the nonlinear system. (uwaterloo.ca)

only [ 13 - 15 ] have studied the fixed-time stabilization for high-order nonlinear systems. (hindawi.com)
The fixed-time stabilization of strict feedback nonlinear systems with only matching uncertainties is achieved by ingenious state transformation [ 15 ]. (hindawi.com)
Therefore, it is of great significance to study the fixed-time stabilization of more general high-order nonlinear systems. (hindawi.com)
Based on the above, the nonsingular global fixed-time stabilization of high-order nonlinear systems is proposed. (hindawi.com)

The second part is devoted to singular limit problems for solutions of the PDE system and traveling wave solutions, respectively. (aimsciences.org)

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