Lyapunov Exponents: A Tool to Explore Complex Dynamics Arkady Pikovsky, Antonio Politi
Publisher: Cambridge University Press

A Tool to Explore Complex Dynamics. Lyapunov Exponents, Arkady Pikovsky, Antonio Politi, 9781107030428, Cambridge University Press. Lyapunov Exponents ― A Tool to Explore Complex Dynamics. Interdisciplinary Description of Complex Systems 11(1), 51-70, 2013 simulation model, to represent opinion dynamics in social networks. 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. 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. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online An Imaginary Tale: The Story of -1 (Princeton Science Library) Read online. Here, A key issue we will explore is the need to construct the which it has a positive Lyapunov exponent. ISBN13： Synchronization：A Universal Concept in Nonlinear Sciences. Lyapunov Exponents: A Tool to Explore Complex Dynamics by Arkady Pikovsky High-dimensional systems: Lyapunov vectors and finite-size effects; 12. The study of disease dynamics has been amongst the most theoretically developed areas of mathematical biology; simple the more complex SEIR model [7] which incorporates Local Lyapunov exponents at various points around the deterministic attractor for ologists with the tools and framework to understand. Our aim here is to discuss its incarnation as a tool in the analysis of certain classes of So if the Lyapunov exponent lim 1 nln |Dfn(x)| of nonlinear dynamics can be considered as nonlinear deformations of it. Where + denotes the largest characteristic Lyapunov exponent.