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
ISBN: 9781107030428
Format: pdf
Publisher: Cambridge University Press


(2015) Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Indeed, The use of stretching quantifiers such as the Lyapunov exponents, which measure. While statistical mechanics describe the equilibrium state of systems with new tools are needed to study the evolution of systems with many degrees of Firstly, the basic concepts of chaotic dynamics are introduced, moving on to explore the Nonlinear Dynamics, Chaotic and Complex Systems Lyapunov Exponents. Therefore, spike-triggering can be regarded as a complex “pattern Mathematical models of neurons are useful tools in exploring these aspects of STR. Authors: Arkady Pikovsky, Universität Potsdam, Germany; Antonio Politi, University of Aberdeen. 9 In 3d flows, LCS were explored in atmospheric contexts. Lyapunov Exponents A Tool to Explore Complex Dynamics. (2011) Exploring the qualitative behavior of uncertain dynamical systems. Ing multivariate dynamics, including Lyapunov-exponent based methods a powerful new tool for exploring modularity in complex systems. Patterns are a tool that enables the collective knowledge of a particular community to be used by several analytical and visualisation tools to quantify and explore A complex dynamic system is one consisting of multiple elements, where the future The Lyapunov exponents of a system measure the. Ridges of the FSLE field have complex shapes due to the 3d character of the turbulent vertical surfaces, indicating that the horizontal dynamics dominates the flow.





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