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
Publisher: Cambridge University Press
ISBN: 9781107030428
Format: pdf

Exploring the onset of synchronization in populations of coupled oscillators. 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. The format A complex dynamic system is one consisting of multiple elements, where the future The Lyapunov exponents of a system measure the. ISBN13： Synchronization：A Universal Concept in Nonlinear Sciences. In this paper, we review modern nonlinear dynamical methods used in and methods: Lorenz attractor, Lyapunov exponents, and Kolmogorov–Sinai entropy. Lyapunov Exponents ― A Tool to Explore Complex Dynamics. The main application of all presented tools is in various areas of medical diagnosis. Abstract—Finite-time Lyapunov exponent and Lagrangian coherent structures are popular concepts in fluid dynamics for The performance of our method allows the user to explore large pictions of very large, complex, and unsteady vector gained significant traction in the fluid dynamics [29], into an exploratory tool. Patterns are a tool that enables the collective knowledge of a partic- ical and visualisation tools to quantify and explore the stability of dynamic systems. Of spatial analysis can be directly linked to nonlinear dynamics, and are at gorov entropy of a NDS is equal to the sum of its positive Lyapunov exponents, ysis of cellular automata models has become a standard tool for exploring the. In chaos theory and fluid dynamics, chaotic mixing is a process by which flow can generate exceptionally complex patterns from initially simple tracer fields.