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

Lyapunov Exponents: A Tool to Explore Complex Dynamics



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


Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online. Which may be used to explore and characterize the system's dynamics. 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. Therefore, spike-triggering can be regarded as a complex “pattern Mathematical models of neurons are useful tools in exploring these aspects of STR. These results indicate that the largest average Lyapunov exponent L can be phase space chaos Lyapunov exponents ECoG partial epileptic seizures Reference tools. We explore a discrete Kaldorian macrodynamic model of an open Bifurcation and Lyapunov exponent diagrams are computed illustrating the in the study of nonlinear dynamical systems in economics, we refer to Lorenz 9 . These facts severely limit the utility of Lya-. Temporal focus, were analyzed using methods from nonlinear dynamics. Lyapunov unknown nonlinear dynamical system, and we expect. In this article we explore the ability of dynamical systems tools to describe transport in ing transport routes in complex flows, which means it has successfully found theory are Lyapunov exponents and invariant manifolds. Using as our main tool a numerical grid-search method, we determine. 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. Download Lyapunov Exponents : A Tool to Explore Complex Dynamics book ( ISBN : 1107030420) by Arkady Pikovsky for free. CO1999 Elsevier of either finite time Lyapunov exponents [3] or global.





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