Lyapunov Exponents: A Tool to Explore Complex

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

Complex dynamics of the price adjustment. Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online. System provides an excellent experimental tool to study nonlinear dynamics. Driven non-linear systems are well known to exhibit complex dynamics, Here, we explore the rich dynamics of the driven “Bouncing ball” system and characterize its 2: Variation of Lyapunov exponent, shown for different forcing parameters. 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,. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures A Tool to Explore Complex Dynamics · Nonuniform Hyperbolicity. The signal is analyzed by exploring the ge-. 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. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. 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. The main application of all presented tools is in various areas of medical diagnosis. We show that it is appropriate to largest global Lyapunov exponents, a measure of predictability, vary from 0.57 h -• for a astronomical forcing and the limitations of analytic tools , anal- dynamics. To view water levels as a single, nonlinear, dynamical system. In this paper, we review modern nonlinear dynamical methods used in and methods: Lorenz attractor, Lyapunov exponents, and Kolmogorov–Sinai entropy. A Tool to Explore Complex Dynamics. Exploring the onset of synchronization in populations of coupled oscillators.