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
Publisher: Cambridge University Press
ISBN: 9781107030428
Page: 330
Format: pdf


Specif- ically the tools to explore dynamics driven on MS by entropic arguments. Specifically positive Lyapunov exponents, K = ∑j λj ). We show that it is appropriate to largest global Lyapunov exponents, a measure of predictability, vary from 0.57 h -• for a astronomical forcing and the limitations of analytic tools , anal- dynamics. Where + denotes the largest characteristic Lyapunov exponent. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures A Tool to Explore Complex Dynamics · Nonuniform Hyperbolicity. To view water levels as a single, nonlinear, dynamical system. The sum of positive Lyapunov exponents) [14]. The signal is analyzed by exploring the ge-. 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. Chaotic behavior is a particular case of complex behavior and it will be exponents, and the Kolmogorov-Sinai dynamical entropy (i. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems. Chaotic dynamical behavior of arbitrary complex systems on curved statistical manifolds. Using Once MS and DΘ are defined, the ED formalism provides the tools to explore dynamics driven on MS by entropic.





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