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

• Lyapunov Exponents: A Tool to Explore Complex Dynamics
• Arkady Pikovsky, Antonio Politi
• Page: 330
• Format: pdf, ePub, mobi, fb2
• ISBN: 9781107030428
• Publisher: Cambridge University Press

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Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. Practical algorithms are thoroughly reviewed and their performance is discussed, while a broad set of examples illustrate the wide range of potential applications. The description of various numerical and analytical techniques for the computation of Lyapunov exponents offers an extensive array of tools for the characterization of phenomena such as synchronization, weak and global chaos in low and high-dimensional set-ups, and localization. This text equips readers with all the investigative expertise needed to fully explore the dynamical properties of complex systems, making it ideal for both graduate students and experienced researchers.

Lyapunov Exponents - Cambridge University Press
Lyapunov Exponents A Tool to Explore Complex Dynamics. Authors: Arkady Pikovsky, Universität Potsdam, Germany; Antonio Politi, University of Aberdeen. Application of largest Lyapunov exponent analysis on the studies of
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. In FIG. lidifying the method as being even more powerful tool. Structural information content and Lyapunov exponent calculation in
Explore this journal > A lattice model with Monte Carlo dynamics is used to carry out computer information about the complex underlying protein dynamics. We calculate Lyapunov exponents for these unfolding runs and find If you can't find a tool you're looking for, please click the link at the top of  The turnstile mechanism across the Kuroshio current - arXiv
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. Nonlinear dynamics and chaos methods in neurodynamics and
In this paper, we review modern nonlinear dynamical methods used in and methods: Lorenz attractor, Lyapunov exponents, and Kolmogorov–Sinai entropy. The main application of all presented tools is in various areas of medical diagnosis. exploring the onset of synchronization in populations of coupled oscillators. ENT 108-099 - IJME
compared with the results from Lyapunov metrics computation. algorithmic complexity measure and Lyapanov exponents. Algorithmic complexity is a useful practical tool to characterize spatiotemporal patterns of nonlinear dynamical For forced oscillator system we have used both tools to explore the regions of. Local population dynamics of an invasive tree species with - LAMFA
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. Complex dynamics of a four neuron network model having a pair of
Complex dynamics of a four neuron network model having a pair of Lyapunov exponents are also calculated using the AnT 4.669 tool for 

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