Nonlinear Dynamics (journal)
Nonlinear Dynamics, An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems is a monthly peer-reviewed ... "Nonlinear Dynamics". 2022 Journal Citation Reports. Web of Science (Science ed.). Clarivate Analytics. 2022. Official website v ... or the Russian Journal of Nonlinear Dynamics). The journal is abstracted and indexed in: Chemical Abstracts Service Current ... scientific journal covering all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean ...
Sparse identification of non-linear dynamics
Sparse identification of nonlinear dynamics (SINDy) is a data-driven algorithm for obtaining dynamical systems from data. Given ... "Inferring biological networks by sparse identification of nonlinear dynamics". arXiv:1605.08368 [math.DS]. (Articles with short ... This procedure relies on the assumption that most physical systems only have a few dominant terms which dictate the dynamics, ... It has been applied to identify the dynamics of fluids, based on proper orthogonal decomposition, as well as other complex ...
Journal of Computational and Nonlinear Dynamics
Nonlinear Dynamics is a quarterly peer-reviewed multidisciplinary scientific journal covering the study of nonlinear dynamics. ... "Journal of Computational and Nonlinear Dynamics". 2017 Journal Citation Reports. Web of Science (Science ed.). Clarivate ... Dynamics (mechanics), English-language journals, Systems science literature, American Society of Mechanical Engineers academic ...
Nonlinear dimensionality reduction
Nonlinear Dynamics. 86 (3): 1493-1534. arXiv:1602.00560. doi:10.1007/s11071-016-2974-z. S2CID 44074026. Gashler, M.; Martinez, ... Nonlinear PCA (NLPCA) uses backpropagation to train a multi-layer perceptron (MLP) to fit to a manifold. Unlike typical MLP ... Like kernel PCA they use a kernel function to form a non linear mapping (in the form of a Gaussian process). However, in the ... Nonlinear dimensionality reduction, also known as manifold learning, refers to various related techniques that aim to project ...
Oleksandr Sharkovsky
Sharkovsky, A. N. (2006-06-01). "Ideal Turbulence". Nonlinear Dynamics. 44 (1): 15-27. doi:10.1007/s11071-006-1931-7. ISSN 1573 ... Sharkovsky, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. (1997). Dynamics of One-Dimensional Maps. doi:10.1007/978-94- ... The formation and development of chaotic dynamics are associated with his name. In the scientific literature, you can find such ... Sharkovsky, A.N. (November 2019). "Sharkovsky ordering and combinatorial dynamics" (PDF). Sharkovsky, A.; Romanenko, E.; ...
Lyapunov exponent
Nonlinear Dynamics. 85 (1): 195-201. arXiv:1410.2016. doi:10.1007/s11071-016-2678-4. S2CID 119650438. Miller, R. H. (1964). " ... The use of nonlinear mappings to model the evolution of small displacements from the attractor has been shown to dramatically ... A word of caution: unlike the global exponents, these local exponents are not invariant under a nonlinear change of coordinates ... F Ginelli; P Poggi; A Turchi; H Chaté; R Livi; A Politi (2007). "Characterizing Dynamics with Covariant Lyapunov Vectors" (PDF ...
Lyapunov dimension
Nonlinear Dynamics. 92 (2): 267-285. arXiv:1504.04723. doi:10.1007/s11071-018-4054-z. S2CID 254888463. Douady, A.; Oesterle, J ... Nonlinear Dynamics. 85 (1): 195-201. arXiv:1410.2016. doi:10.1007/s11071-016-2678-4. S2CID 254894000. P. Cvitanovic; R. Artuso ... Eden, A.; Foias, C.; Temam, R. (1991). "Local and global Lyapunov exponents". Journal of Dynamics and Differential Equations. 3 ...
Model order reduction
Nonlinear Dynamics. 41 (1-3): 147-169. CiteSeerX 10.1.1.530.8349. doi:10.1007/s11071-005-2803-2. ISSN 0924-090X. S2CID 17625377 ... Computational fluid dynamics studies often involve models solving the Navier-Stokes equations with a number of degrees of ... Nonlinear manifold methods. The simplified physics approach can be described to be analogous to the traditional mathematical ... Empirical gramians can be computed for linear and nonlinear control systems for purposes of model order reduction, uncertainty ...
Tent map
"On risk and market sentiments driving financial share price dynamics". Nonlinear Dynamics. 111 (17): 16585-16604. doi:10.1007/ ... Nonlinear Dynamics. 87 (1): 127-133. doi:10.1007/s11071-016-3030-8. ISSN 1573-269X. Lampart, Marek; Lampartová, Alžběta; ... In fact, the dynamics will be non-periodic if and only if x 0 {\displaystyle x_{0}} is irrational. This can be seen by noting ... Brock, William A.; Dechert, W. Davis (1991-01-01), "Chapter 40 Non-linear dynamical systems: Instability and chaos in economics ...
Bill Buchanan (computer scientist)
Nonlinear Dynamics. 99 (4): 3065-3087. doi:10.1007/s11071-020-05463-3. ISSN 1573-269X. S2CID 210859204. Khan, Jan Sher; Boulila ...
Hyperion (moon)
Nonlinear Dynamics. 81 (4): 2031. Bibcode:2015NonLD..81.2031J. doi:10.1007/s11071-015-2123-0. S2CID 124747289. Wisdom, J.; ... M. Tarnopolski (Feb 2017). "Influence of a second satellite on the rotational dynamics of an oblate moon". Celestial Mechanics ... M. Tarnopolski (May 2015). "Nonlinear time-series analysis of Hyperion's lightcurves". Astrophysics and Space Science. 357 (2 ...
Tilde
"Comparison of Various Techniques for Modelling Flexible Beams in Multibody Dynamics". Nonlinear Dynamics. 12 (4): 367-397. doi: ...
Nikolay V. Kuznetsov
Conference on Nonlinear Dynamics and Complexity, USA, 2021 Kuznetsov, N.V.; Lobachev, M.Yu.; Yuldashev, M.V.; Yuldashev, R.V.; ... Nonlinear Dynamics. 102 (2): 713-732. doi:10.1007/s11071-020-05856-4. Kuznetsov, N.V.; Leonov, G.A.; Mokaev, T.N.; Prasad, A.; ... Nonlinear Dynamics. 92 (2): 267-285. arXiv:1504.04723. doi:10.1007/s11071-018-4054-z. S2CID 54706479. Dudkowski D.; Jafari S.; ... Nonlinear Dynamics. 111 (6): 5859-5887. doi:10.1007/s11071-022-08078-y. S2CID 255049732. Kuznetsov, Nikolay; Reitmann, Volker ( ...
Leonid Manevitch
... to nonstationary dynamics of nonlinear oscillatory systems; to molecular dynamics and physics of polymers and composite ... He made fundamental contributions to areas of nonlinear dynamics, composite and polymer physics, and asymptotology. Manevitch ... "In memory of Professor Leonid I. Manevitch". Nonlinear Dynamics. 16 (3): 527-528. February 14, 2020. doi:10.20537/nd200309 - ... Kluwer Academic Publishers (2002). Awrejcewicz J., Andrianov I., Manevitch L.: Asymptotic Approaches in Nonlinear Dynamics: New ...
Predictive engineering analytics
... modeling of complex structures with linear and nonlinear components". Nonlinear Dynamics. 47 (1-3): 193-217. doi:10.1007/s11071 ... It is a well-established technology that has been used for many applications, such as structural dynamics, vibro-acoustics, ... ISBN 978-3-642-12597-3. Cibrario, V.; Cugnon, F. (2012). "New Technologies in Driving Dynamics Performance Simulation". Lecture ... Structural Dynamics. 3: 1501-1512. Manzato, Simone; Peeters, Bart; Toso, Alessandro; Van der Auweraer, Herman; Osgood, Richard ...
Functional differential equation
García López, Álvaro (1 September 2020). "On an electrodynamic origin of quantum fluctuations". Nonlinear Dynamics. 102 (1): ... Xu, Changjin; Wu, Yusen (2013). "Dynamics in a Lotka-Volterra Predator-Prey Model with Time-varying Delays". Abstract and ...
Rabinovich-Fabrikant equations
Nonlinear Dynamics. 88 (1): 791-805. arXiv:1511.07765. doi:10.1007/s11071-016-3276-1. S2CID 119303488. Sprott, Julien C. (2003 ... Danca M.-F.; Kuznetsov N.; Chen G. (2017). "Unusual dynamics and hidden attractors of the Rabinovich-Fabrikant system". ... Dynamics of Continuous, Discrete and Impulsive Systems. Series B: Applications & Algorithms. Watam Press. 15: 155-164. hdl: ...
Chua's circuit
and first confirmation of hidden chaos was reported in 2022 at the Theoretical Nonlinear Dynamics Lab at the Institute of Radio ... the dynamics of Chua's circuit can be accurately modeled by means of a system of three nonlinear ordinary differential ... Nonlinear Dynamics. 111 (6): 5859-5887. doi:10.1007/s11071-022-08078-y. S2CID 255049732. Z. Galias, "Positive topological ... The nonlinear resistor is implemented by two linear resistors and two diodes. At the far right is a negative impedance ...
Maor Farid
Nonlinear Dynamics. 92 (4): 1517-1538. arXiv:1703.02017. doi:10.1007/s11071-018-4144-y. S2CID 254894294. Maor Farid, Nissim ... "Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing". International Journal of Non-Linear ... Maor Farid, Oleg Gendelman (2018). "Response regimes in equivalent mechanical model of moderately nonlinear liquid sloshing". ...
Chaos theory
Dal Forno, Arianna; Merlone, Ugo (2013). "Nonlinear dynamics in work groups with Bion's basic assumptions". Nonlinear Dynamics ... Life Sciences Nonlinear Dynamics Research Group at CSDC, Florence Italy Nonlinear dynamics: how science comprehends chaos, talk ... Nonlinear Dynamics. Models of bifurcation and chaos by Elmer G. Wiens Gleick's Chaos (excerpt) Archived 2007-02-02 at the ... Okulov, A Yu; Oraevskiĭ, A N (1988). "Spatiotemporal dynamics of a wave packet in nonlinear medium and discrete maps". In N.G. ...
Absement
Nonlinear Dynamics, 1-14. Mann, S., Pierce, C., Zheng, B. C., Hernandez, J., Scavuzzo, C., & Mann, C. (2019, November). ... Nonlinear Dynamics. 80 (1-2): 457-489. doi:10.1007/s11071-014-1882-3. S2CID 254891059. for example, a new concept and state ...
Spectral submanifold
"How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models". Nonlinear Dynamics. ... Nonlinear Dynamics. 86 (3): 1493-1534. arXiv:1602.00560. doi:10.1007/s11071-016-2974-z. S2CID 44074026. Cabré, P.; Fontich, E ... Nonlinear Dynamics. 41 (1-3): 1-15. doi:10.1007/s11071-005-2790-3. S2CID 14728580. Ponsioen, Sten; Pedergnana, Tiemo; Haller, ... and therefore motivates the use of SSMs in nonlinear dimensionality reduction. Consider a nonlinear ordinary differential ...
Falling cat problem
Nonlinear Dynamics. 79 (4): 2237-2250. doi:10.1007/s11071-014-1741-2. S2CID 120984496. Lagrangian Reduction and the Falling Cat ... The dynamics of the falling cat have been explained using the Udwadia-Kalaba equation. The falling cat problem has elicited ... Framed in this way, the dynamics of the falling cat problem is a prototypical example of a nonholonomic system, the study of ... Montgomery, R. (1993). "Gauge Theory of the Falling Cat". In Enos, M.J. (ed.). Dynamics and Control of Mechanical Systems (PDF ...
Brain storm optimization algorithm
Nonlinear Dynamics. 78 (3): 1973-1988. doi:10.1007/s11071-014-1579-7. S2CID 120591309. "Keynote Speakers-ICCEM 2019". ICCEM ...
R. Cengiz Ertekin
Nonlinear Dynamics. 91 (2): 975-994. doi:10.1007/s11071-017-3923-1. S2CID 125174958. Ertekin, R. C; Xia, Dingwu (2014). " ... including nonlinear wave diffraction and refraction(see e.g.), nonlinear wave loads on vertical cylinders (see e.g.), wave ... Kim, J. W.; Bai, K. J.; Ertekin, R. C.; Webster, W. C. (2003). "A Strongly-Nonlinear Model for Water Waves in Water of Variable ... Working under close guidance of his advisors, he was one of the first to use the nonlinear equations (that were introduced just ...
Currency strength
Nonlinear Dynamics. 98 (3): 2349-2364. arXiv:1906.07491. doi:10.1007/s11071-019-05335-5. ISSN 1573-269X. Gill, Tanvir (2020-03- ...
Classical central-force problem
Mahomed FM, Vawda F (2000). "Application of Symmetries to Central Force Problems". Nonlinear Dynamics. 21 (4): 307-315. doi: ... ISBN 0-201-07392-7. Whittaker, E. T. (1937). A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, with an ...
Magd Abdel Wahab
... fracture mechanics and dynamics and vibration of structures. In a paper for nonlinear transient analysis of smart piezoelectric ... Nonlinear Dynamics. 87 (2): 879-894. doi:10.1007/s11071-016-3085-6. S2CID 126015447. Phung-Van, P.; De Lorenzis, L.; Thai, ... "Dynamics and Vibration: An Introduction". Amazon. (Use dmy dates from June 2022, Articles with short description, Short ... Wahab has published over 550 papers and technical reports in Solid Mechanics and Dynamics of Structures. He has been cited over ...
Lorenz system
A detailed derivation may be found, for example, in nonlinear dynamics texts from Hilborn (2000), Appendix C; Bergé, Pomeau & ... Gorman, M.; Widmann, P.J.; Robbins, K.A. (1986). "Nonlinear dynamics of a convection loop: A quantitative comparison of ... Hilborn, Robert C. (2000). Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers (second ed.). Oxford ... Nonlinear Dynamics. 102 (2): 713-732. doi:10.1007/s11071-020-05856-4. Grassberger & Procaccia (1983) Leonov et al. (2016) ...
Abel equation of the first kind
Nonlinear Dynamics. 28: 1-16. doi:10.1023/A:1014925032022. S2CID 117115358.. (Old link: On the Solution of the Unforced Damped ... "Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs ... Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs ... of the First Kind and Relative Degenerate Equations) Mancas, Stefan C., Rosu, Haret C., Integrable dissipative nonlinear second ...