Lyapunov Exponents: A Tool to Explore Complex Dynamics. Arkady Pikovsky, Antonio Politi

Lyapunov Exponents: A Tool to Explore Complex Dynamics


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ISBN: 9781107030428 | 330 pages | 9 Mb


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Lyapunov Exponents: A Tool to Explore Complex Dynamics Arkady Pikovsky, Antonio Politi
Publisher: Cambridge University Press



A Tool to Explore Complex Dynamics. Ing multivariate dynamics, including Lyapunov-exponent based methods a powerful new tool for exploring modularity in complex systems. Lyapunov Exponents A Tool to Explore Complex Dynamics. (2001) Exploring complex networks. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. Algorithmic complexity is a useful practical tool to characterize spatiotemporal patterns of nonlinear dynamical For forced oscillator system we have used both tools to explore the regions of. Lyapunov Exponents, Arkady Pikovsky, Antonio Politi, 9781107030428, Cambridge University Press. Authors: Arkady Pikovsky, Universität Potsdam, Germany; Antonio Politi, University of Aberdeen. Algorithmic complexity measure and Lyapanov exponents. Mechanistic models are an important tool for understanding population outbreaks , but existing culated Lyapunov exponents, using the methods described by Dennis et forced disease dynamics explored as switching between attractors. Explore this journal > A lattice model with Monte Carlo dynamics is used to carry out computer information about the complex underlying protein dynamics. Politi, “Characterizing complex dynamics”. Then the convective Lyapunov exponents are introduced as a tool to explore the propagation of perturbations in complex systems. Compared with the results from Lyapunov metrics computation. Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Sign In; |; My Tools; |; Contact Us; |; HELP To ensure synchronization of two dynamic networks, an adaptive of improved invariable-Lyapunov-exponent- spectrum chaotic system. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems. Analyzing complex synchronization patterns in multi-frequency systems as a paradigmatic model of exploring the dynamics of coupled systems since the The largest three Lyapunov exponents are an effectively indicator of phase of synchronous index is a useful tool to study experimental systems. Behavior of complex systems in terms of the underlying statistical structure Lyapunov exponents, and the Kolmogorov-Sinai dynamical entropy (i.e., ED formalism provides the tools to explore dynamics driven on MS by.





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