Can the original equations of a dynamical system be retrieved from observational time series?
暂无分享,去创建一个
[1] Luis A. Aguirre,et al. Modeling Nonlinear Dynamics and Chaos: A Review , 2009 .
[2] L. A. Aguirre,et al. Equivalence of non-linear model structures based on Pareto uncertainty , 2015 .
[3] Sundarapandian Vaidyanathan,et al. A 5-D hyperchaotic Rikitake dynamo system with hidden attractors , 2015 .
[4] Peter Young,et al. Parameter estimation for continuous-time models - A survey , 1979, Autom..
[5] Luis A Aguirre,et al. Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems , 2007, Journal of mathematical biology.
[6] Sylvain Mangiarotti,et al. Using global modeling to unveil hidden couplings in small network motifs. , 2018, Chaos.
[7] Claudia Lainscsek,et al. A class of Lorenz-like systems. , 2012, Chaos.
[8] Ami Radunskaya,et al. A mathematical tumor model with immune resistance and drug therapy: an optimal control approach , 2001 .
[9] I. J. Leontaritis,et al. Parameter Estimation Techniques for Nonlinear Systems , 1982 .
[10] Letellier,et al. Global vector field reconstruction from a chaotic experimental signal in copper electrodissolution. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[11] Yann Kerr,et al. Can the global modeling technique be used for crop classification , 2018 .
[12] S. Nosé. A molecular dynamics method for simulations in the canonical ensemble , 1984 .
[13] C Letellier,et al. Ansatz library for global modeling with a structure selection. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[14] O. Rössler. An equation for continuous chaos , 1976 .
[15] Sylvain Mangiarotti,et al. Topological characterization versus synchronization for assessing (or not) dynamical equivalence. , 2018, Chaos.
[16] Christophe Letellier,et al. Frequently asked questions about global modeling. , 2009, Chaos.
[17] S. Mangiarotti. Low dimensional chaotic models for the plague epidemic in Bombay (1896–1911) , 2015 .
[18] Nonlinear conductivity and entropy in the two-body Boltzmann gas , 1986 .
[19] J. Sprott,et al. Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[20] J. Malasoma. Countable infinite sequence of attractors' families for the simplest known equivariant chaotic flow , 2002 .
[21] T. Rikitake,et al. Oscillations of a system of disk dynamos , 1958, Mathematical Proceedings of the Cambridge Philosophical Society.
[22] Ganti Prasada Rao,et al. Identification of Continuous Dynamical Systems , 1983 .
[23] Amit Sharma,et al. The dynamic of plankton-nutrient interaction with delay , 2014, Appl. Math. Comput..
[24] Dequan Li,et al. A three-scroll chaotic attractor , 2008 .
[25] Claudia Lainscsek,et al. Nonuniqueness of global modeling and time scaling. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[26] Sylvain Mangiarotti,et al. Global modeling of aggregated and associated chaotic dynamics , 2016 .
[27] Required criteria for recognizing new types of chaos: application to the "cord" attractor. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.
[28] Robert Shaw. Strange Attractors, Chaotic Behavior, and Information Flow , 1981 .
[29] L. Jarlan,et al. Polynomial search and global modeling: Two algorithms for modeling chaos. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.
[30] Christophe Letellier,et al. Global modeling of the Rössler system from the /z-variable , 2003 .
[31] Stephen P. Banks,et al. Chaos in a Three-Dimensional Cancer Model , 2010, Int. J. Bifurc. Chaos.
[32] M. Huc,et al. A chaotic model for the epidemic of Ebola virus disease in West Africa (2013-2016). , 2016, Chaos.
[33] Stephen A. Billings,et al. RETRIEVING DYNAMICAL INVARIANTS FROM CHAOTIC DATA USING NARMAX MODELS , 1995 .
[34] Letellier,et al. Global vector-field reconstruction by using a multivariate polynomial L2 approximation on nets. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[35] Alberto Tesi,et al. Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems , 1992, Autom..
[36] Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco. , 2014, Chaos.