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

Ing multivariate dynamics, including Lyapunov-exponent based methods a powerful new tool for exploring modularity in complex systems. Complex dynamics of the price adjustment. 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. (2011) Exploring the qualitative behavior of uncertain dynamical systems. Synchronization A Universal Concept in Nonlinear Sciences Lyapunov Exponents. 2.1 Lyapunov exponents; 2.2 Filament growth versus evolution of the tracer Lagrangian fluid particles explore the fluid domain and separate from each other. (2015) Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for isolated spectrum of transfer and Koopman operators with Fourier analytic tools. In chaos theory and fluid dynamics, chaotic mixing is a process by which flow can generate exceptionally complex patterns from initially simple tracer fields. Interdisciplinary Description of Complex Systems 11(1), 51-70, 2013 simulation model, to represent opinion dynamics in social networks. Authors: Arkady Pikovsky, Universität Potsdam, Germany; Antonio Politi, University of Aberdeen. 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. Lyapunov Exponents A Tool to Explore Complex Dynamics.