• Modern evolutionary economics can be modelled in the framework of complex systems and nonlinear dynamics. (cambridge.org)
  • What can we learn from nonlinear dynamics for complexity management in social, economic, financial and political systems? (cambridge.org)
  • It has been gathering momentum across the disciplines within the past 20 years, from the study of nonlocal phenomena in quantum physics and nonlinear dynamics in mathematics to complexity in ecosystems, the fluid genome in the new genetics and consciousness in brain science. (ratical.org)
  • Structural dynamic simulations will be performed with both linear and nonlinear reduced-order models (ROM) to replicate the relevant structural dynamics. (sandia.gov)
  • This involves work at scales ranging from the molecular to the process and potentially to the ecosystem levels, and using techniques from computational chemistry, machine learning, molecular thermodynamics, transport phenomena, process engineering, and ecological dynamics. (utexas.edu)
  • Hawking was pointing towards the increasing importance of a set of scientific ideas that have their roots in theories of chaos, complex systems, fractal geometry, nonlinear dynamics, and quantum mechanics (Newell, 2001). (idrottsforum.org)
  • In the field of spin dynamics, he is particularly interested in dynamic magnetic excitations in confined magnetic structures, magnetic switching, and nonlinear magnetic phenomena using space- and time-resolved Brillouin light scattering spectroscopy and time-resolved Kerr effect techniques. (ieeemagnetics.org)
  • Processes can be used to further extend the consensus emergence models, allowing them to capture nonlinear dynamics, on both individual and group levels, in emergent processes. (lu.se)
  • My research work on Structural Dynamics and Wave Propagation is primarily driven by the need to understand physical phenomena and the desire to develop engineering solutions to vibration problems affecting stakeholders in the built environment. (lu.se)
  • It is found that the chaotic system is described by nonlinear differential equations, which is very sensitive to initial conditions [ 2 ]. (hindawi.com)
  • The proposed approach is based on a pseudo‐spectral method for discretizing the differential equations and the asymptotic numerical method to convert nonlinear systems into linear algebraic equations. (wiley.com)
  • The coupling of the spectral method with the asymptotic numerical method is considered as an efficient algorithm to solve any nonlinear differential equations. (wiley.com)
  • From the daily rotation of our planet as it circles the sun to its ever changing climate and geology, natural phenomena are governed by the laws of nonlinear dynamical systems. (upf.edu)
  • Gaussian distributions of Brownian motion) must be overcome by new approaches of nonlinear mathematics (e.g. non-Gaussian distribution), modelling the wild randomness of turbulence at the stock markets. (cambridge.org)
  • Well-established SI algorithms with a strong evolutionary basis cover many areas, from land to sea, water to air, living animals and plants, microorganisms to inanimate natural phenomena, physics and chemistry mathematics, and nonlinear science to complex adaptive systems. (techscience.com)
  • Hysteresis occurs in ferromagnetic and ferroelectric materials, as well as in the deformation of rubber bands and shape-memory alloys and many other natural phenomena. (wikipedia.org)
  • However, phenomena such as the magnetic hysteresis loops are mainly rate-independent , which makes a durable memory possible. (wikipedia.org)
  • Systems with hysteresis are nonlinear , and can be mathematically challenging to model. (wikipedia.org)
  • Finally, fully nonlinear phenomena connected to the wave-body interactions are analyzed in terms of slamming, water-entry and water-exit. (ntnu.edu)
  • Nonlinearities in the interactions among the system components and in the response to external signals, together with random fluctuations both internal and environmental, complicate our understanding of the dynamic world. (upf.edu)
  • Subsequent multi-physics simulations will be discussed to relate the contact mechanics associated with the dynamic interactions between the pin and receptacle to the chatter. (sandia.gov)
  • Since the overall pattern of behavior of a complex system is non-linear and dynamic, an effective method for modelling such a phenomenon must offer insight into the separate parts (i.e., disciplines) as well as the complex pattern produced by their overall interactions (Hausken-Sutter et al. (idrottsforum.org)
  • In recognition of the widespread deterioration of the natural environment, and the continual emergence of sudden catastrophic environmental changes resulting from complex interactions of theretofore apparently disparate phenomena, this research presents a complex systems approach to the modelling of such environmental catastrophes. (bl.uk)
  • Emergent processes refer to how dynamic interactions among lower-level units (e.g. individuals) over time form a new, shared, construct or phenomena at a higher level (e.g. work group). (lu.se)
  • In recent years we have seen a revival of the science aspects of the area driven by advances in the understanding of intermolecular interactions, cooperative phenomena and condensed phases. (lu.se)
  • Nevertheless, human cognitive capabilities are often overwhelmed by the complexity of nonlinear systems they are forced to manage. (cambridge.org)
  • Recognizing contemporary views of complexity and evolution, this research presents a dynamic complex systems model which displays emergent characteristics which can be directly related to the modelled phenomena - linking acid rain and eutrophication - and the study region, the Rutland Water catchment. (bl.uk)
  • Dynamic and renormalization-group extensions of the Landau theory of critical phenomena. (polymtl.ca)
  • The backstepping design method is suitable for both linear and nonlinear systems, so it has been widely used as soon as proposed. (hindawi.com)
  • Hence, it is meaningful but difficult to investigate the backstepping control of uncertain nonlinear systems avoiding explosion of terms. (hindawi.com)
  • Studies show that many physical systems exhibit fractional-order dynamic behavior due to their special material and chemical properties, which are called fractional-order systems. (hindawi.com)
  • In the field of integer-order systems, based on Lyapunov stability theory, the control of nonlinear systems has been widely studied and a series of results have been obtained. (hindawi.com)
  • The theory of nonlinear complex systems has become a proven problem-solving approach in the natural sciences from cosmic and quantum systems to cellular organisms and the brain. (cambridge.org)
  • He defended a PhD thesis "The influence of periodical and random disturbances on the nonlinear systems" in 1966 and a doctoral thesis "The problems of theory of nonlinear oscillations and their applications in physics" in 1972. (lviv.ua)
  • Visiting Scientist, Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Belgium. (imperial.ac.uk)
  • Earth systems visualizations and their dynamic outputs can help students see how systems respond to human actions in both expected and unexpected ways. (concord.org)
  • Time delay , which refers to a lag between the initiation of an action and the effect, is a central feature for understanding the dynamic behaviors of systems over time. (concord.org)
  • Abstract Synchronization is one of the most important characteristics of dynamic systems. (techscience.com)
  • For this paper, the authors obtained results for the nonlinear systems controller for the custom Synchronization of two 4D systems. (techscience.com)
  • Usually when many interacting particle systems are taken out of equilibrium by driving them locally, globally or through boundaries, in low dimensions they manifests themselves through various interesting phenomena like anomalous tagged particle diffusion, appearance of long range correlations (both static and dynamic), anomalous transport, nonlinear and singular temperature profiles etc. (icts.res.in)
  • in fact, the whole action loop of sensory feedback and motor adjustment to achieve environmentally-based goals expressed by these dynamic systems of being can be reduced to an agglomeration of organizations and reorganizations occurring in microstructures to deal with an ever-changing environment. (blogspot.com)
  • The main contributions of this research may thus be found in the following areas: Development of a dynamic complex systems model - transferable to alternative catchments due to the minimal data requirements and its generic representation - which may be used to describe non-point sources of phosphates as part of assessments of potential eutrophication, overcoming such limitations found in existing models. (bl.uk)
  • Presentation of a complex systems approach - hinged upon this concept of a catastrophe indicator - to the representation of non-linearities and discontinuities between heretofore apparently disparate phenomena which are 'competing for a common resource. (bl.uk)
  • The butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state. (medium.com)
  • It is clear that amyloid fi bril formation is an example of colloidal instability although the phenomenon is typically not discussed in such terms. (lu.se)
  • If there are uncertain parameters and/or initial conditions in a dynamic model, have the effects of these uncertainties been rigorously quantified. (utexas.edu)
  • It is now recognized that many of our ecological, social, economic, and political problems are also of a global, complex, and nonlinear nature. (cambridge.org)
  • The butterfly effect is that a small change at one place in a complex dynamic system can lead to large and unexpected consequences. (medium.com)
  • Moreover, it is more commonly describe with complex nonlinear causal connections. (medium.com)
  • In dealing with nonlinear models of complex phenomena, the reliability with which computations can be done is often an important issue. (utexas.edu)
  • If sport injuries, for example, were understood as complex, then this would mean that the phenomenon is multidimensional. (idrottsforum.org)
  • The combination of new time- and spatial-resolved experimental methods combined with computational and theoretical approaches is required to determine the complex nonlinear and time-varying response to deformations which is often also non-homogeneous. (lu.se)
  • In 1983, Mandelbort reported a large number of fractal phenomena in many scientific fields [ 15 ], fractional calculus has appeared widely in various fields [ 16 - 23 ], and it has quickly attracted people's attention. (hindawi.com)
  • Our goal is to help students and teachers alike explore phenomena that result from changes to a system and correlate this to the causal mechanisms. (concord.org)
  • The simulation will cover high-dynamic range, full RF device nonlinearity, multi-physics effects and time delay effects. (sbir.gov)
  • This inequality refers, of course, to phenomena that are irreversible, as are any natural processes. (wessex.ac.uk)
  • This article aims to analyze the main theoretical and methodological challenges associated with the use of the concept of time in researches with longitudinal design, as well as analyze advantages, limitations and possibilities of advances in production of knowledge in Work and Organizational Psychology (WOP) about constructs of interest, based on theoretical and methodological approaches sensitive to the dynamic and mutable nature of processes, constructs and associations between constructs over time. (bvsalud.org)
  • How can we classify the sea loads and motions induced on the marine structure in terms of nonlinearities and physical phenomena involved? (ntnu.edu)
  • To generate physical understanding of the phenomena connected with the fluid-structure interaction problems of practical interest and to make use of simple methods for an early design stage, for marine operation planning or for checking practical computer results or model experiments. (ntnu.edu)
  • To be able to roughly assess the occurrence of water on deck and slamming and to know the physical phenomena and factors connected with slamming, its relevance and consequences. (ntnu.edu)
  • To address this problem, we will simulate the strongly coupled, nonlinear physical phenomena in such disruptions. (anl.gov)
  • In accordance with the name of our journal, which means "Journal for Natural Sciences", manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena. (degruyter.com)
  • Therefore, a wide range of analyses are required to fully explore the physical phenomenon. (sandia.gov)
  • In the present study, a model based on finite element techniques has been developed to simulate the mechanical responses of the fingertips to dynamic loading. (cdc.gov)
  • b) simulate the force response of the fingertip in a single keystroke, where the keyboard was composed of a hard plastic keycap, a rigid support block, and a nonlinear spring. (cdc.gov)
  • SI algorithms, also known as the modern evolutionary algorithms, have dynamic and flexible global optimization performance and strong versatility and are suitable for parallel processing. (techscience.com)
  • An SI algorithm extracts the behaviors of living organisms, including genetic information exchanges and dynamic searching strategies as abstracted algorithmic models and operations for tackling optimization problems. (techscience.com)
  • A phenomenon known as electrical chatter occurs when these vibrations are large enough to interrupt the electric signals. (sandia.gov)
  • More recently, the realization that macro- principal experimental challenge is to resolve and quantify molecules occupy 20-30% of the intracellular volume has populations of protein oligomers in dynamic equilibrium. (lu.se)
  • Since the Gardano method does not involve the development of special positive Lyp functions, it is very efficient and convenient to achieve excessive system SYCR phenomena. (techscience.com)
  • ii) The fractional order calculus can more accurately describe the dynamic response of the actual system in the mathematical model, while the integral order calculus depends on the partial features of the function. (hindawi.com)
  • Then the qualification of these structures with respect to normative seismic design requirements, which are continuously developing and becoming more and more stringent, requires strengthened simulation techniques especially to model the impact phenomenon. (cnrs-mrs.fr)
  • Spectral and nonlinear stability of viscous strong and weak detonation waves in Majda's qualitative model" (PDF). (wikipedia.org)
  • In the last several decades, the nonlinear system control based on universal function approximators (neural networks and fuzzy system) has received much attention [ 4 , 14 - 18 ]. (hindawi.com)
  • The fractional order system can generate rich dynamic behavior phenomenon with the values of the parameters and the order changed. (hindawi.com)
  • and there are also phenomenological models for particular phenomena such as the Jiles-Atherton model for ferromagnetism. (wikipedia.org)
  • Modeling of time-dependent force response of fingertip to dynamic loading. (cdc.gov)
  • In 1983, Mandelbrot pointed out that there are a large number of fractional dimension phenomena in nature, and thus, fractional calculus has rapidly become a research hotspot. (hindawi.com)
  • Nature is dynamic. (upf.edu)
  • The message everywhere is the same: nature is nonlinear, dynamic, interconnected and interdependent. (ratical.org)
  • The fractional calculus in the nonlinear field has developed rapidly. (hindawi.com)
  • When working interdisciplinarily, diverse knowledge, or disciplinary knowledge, is integrated through the construction of a more comprehensive understanding of the phenomena under study. (idrottsforum.org)
  • This is achieved through the definition of a catastrophe indicator which indicates both the proximity and magnitude of catastrophe arising from the non-linear and discontinuous acid-phosphorus relationship within the soil domain which lies at the heart of this Chemical Time Bomb phenomenon. (bl.uk)
  • Here, the dynamic factors which undermine the emergence of Reason and reproduce 'unreason' for both theories are identified. (philpapers.org)
  • Using an established data set, we show that conclusions on the pattern of consensus emergence can change depending on whether the nonlinear group mean change over time is adequately modelled or not. (lu.se)
  • A better understanding of the pathomechanics of these sensorineural and vascular diseases in fingers requires a formulation of a biomechanical model of the fingertips and analyses to predict the mechanical responses of the soft tissues to dynamic loading. (cdc.gov)
  • The model predictions of the time-histories of force response of the fingertip and the phenomenon of fingertip separation from the contacting plate during cyclic loading agree well with the reported experimental observations. (cdc.gov)
  • Whereas theoretical predictions of macromolec- use of nonadsorbing polymers, like polyethylene glycol, for ular crowding effects abound, there are remarkably few protein separation (Albertsson, 1986) and crystallization experimental studies of this universal phenomenon. (lu.se)
  • To know the features and consequences of stationkeeping, the factors reducing performances of thrusters and the challenges in building up a proper dynamic positioning. (ntnu.edu)
  • The subcutaneous tissue was considered to be a nonlinear, biphasic material composed of a hyperelastic solid and an invicid fluid, while its hydraulic permeability was considered to be deformation dependent. (cdc.gov)