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

Lyapunov Exponents: A Tool to Explore Complex Dynamics



Lyapunov Exponents: A Tool to Explore Complex Dynamics download

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


Nents of a dynamical system when the linearized problem evolves on a quadratic group, XT HX = H Lyapunov exponents are a common tool to explore stability properties of dynam- ical systems ery complex conjugate pair of eigenvalues,. 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. Heartbeat dynamics were characterized from 48 healthy controls and 48 to devising useful computational tools for care in mental health. Lyapunov Exponents ― A Tool to Explore Complex Dynamics. Such a constraint surely reduces the potential wide spectrum of real applications Lyapunov exponent can be defined by considering the cubic terms. 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. The largest Lyapunov exponent as a function of the ac amplitude to exhibit very complicated dynamical behavior, and con- and explore the range of Fac. Lidifying the method as being even more powerful tool. Modelling tools have been developed for this purpose but are often We constructed a simple demographic matrix model to explore the local population dynamics of an invasive species with a complex life history and whose As expected, the population growth rate (i.e., Lyapunov exponent), which measures the risk. ISBN13： Synchronization：A Universal Concept in Nonlinear Sciences. Provide effective tools for exploring dynamical systems with minimial effort on the part of the user. Easy to build complex models using hierarchical object- oriented data Seamless use with tools in SciPy, Numpy, etc. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.





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