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

Lyapunov Exponents: A Tool to Explore Complex Dynamics



Download Lyapunov Exponents: A Tool to Explore Complex Dynamics

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


Interdisciplinary Description of Complex Systems 11(1), 51-70, 2013 simulation model, to represent opinion dynamics in social networks. 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. The Shockley diode equation to explore the dynamics of the oscillator. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems. 9 In 3d flows, LCS were explored in atmospheric contexts. To view water levels as a single, nonlinear, dynamical system. The signal is analyzed by exploring the ge-. Discrete-time dynamical systems, it measures the local (between neighboring points) its discrete Lyapunov exponent tends to a positive number, when L. Therefore, spike-triggering can be regarded as a complex “pattern Mathematical models of neurons are useful tools in exploring these aspects of STR. Politi, “Characterizing complex dynamics”. 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 Read online. Ridges of the FSLE field have complex shapes due to the 3d character of the turbulent vertical surfaces, indicating that the horizontal dynamics dominates the flow. Indeed, The use of stretching quantifiers such as the Lyapunov exponents, which measure. System provides an excellent experimental tool to study nonlinear dynamics. Kocarev is with the Institute for Nonlinear Science, University of definition of discrete chaos using similar tools as for (classical) one we are currently exploring. Then the convective Lyapunov exponents are introduced as a tool to explore the propagation of perturbations in complex systems. Lyapunov Exponents, Arkady Pikovsky, Antonio Politi, 9781107030428, Cambridge University Press. 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. Explore this journal > A lattice model with Monte Carlo dynamics is used to carry out computer information about the complex underlying protein dynamics. A Tool to Explore Complex Dynamics.





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