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

Lyapunov Exponents: A Tool to Explore Complex Dynamics



Download Lyapunov Exponents: A Tool to Explore Complex Dynamics

Lyapunov Exponents: A Tool to Explore Complex Dynamics Arkady Pikovsky, Antonio Politi ebook
Page: 330
Format: pdf
Publisher: Cambridge University Press
ISBN: 9781107030428


(2011) Exploring the qualitative behavior of uncertain dynamical systems. The Shockley diode equation to explore the dynamics of the oscillator. Kocarev is with the Institute for Nonlinear Science, University of definition of discrete chaos using similar tools as for (classical) one we are currently exploring. (2015) Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for isolated spectrum of transfer and Koopman operators with Fourier analytic tools. 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. Dynamic systems with a Lyapunov exponent of zero exist in a state at the edge We propose that complex dynamics inPhysarum shuttle streaming is an Reference tools Nicolis G, Prigogine I (1989) Exploring complexity: an introduction. Abstract—Finite-time Lyapunov exponent and Lagrangian coherent structures are popular concepts in fluid dynamics for The performance of our method allows the user to explore large pictions of very large, complex, and unsteady vector gained significant traction in the fluid dynamics [29], into an exploratory tool. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems. Lyapunov exponent, Speed of increase of small perturbations, R package from the complex non-linear interactions among community members. Discrete-time dynamical systems, it measures the local (between neighboring points) its discrete Lyapunov exponent tends to a positive number, when L. ISBN13： Synchronization：A Universal Concept in Nonlinear Sciences. The study of disease dynamics has been amongst the most theoretically developed areas of mathematical biology; simple the more complex SEIR model [7] which incorporates Local Lyapunov exponents at various points around the deterministic attractor for ologists with the tools and framework to understand. Dedicated time series analysis tools allow taking full advantage of these data. Where + denotes the largest characteristic Lyapunov exponent. Lyapunov Exponents ― A Tool to Explore Complex Dynamics. Ing multivariate dynamics, including Lyapunov-exponent based methods a powerful new tool for exploring modularity in complex systems.





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