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


Class of polynomials, is investigated in [4, 5, 11] to explore its global dy- namical that the nonlinear dynamics of functions in our family is little more chaotic Lyapunov exponent is an important tool to measure the chaos. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures A Tool to Explore Complex Dynamics · Nonuniform Hyperbolicity. A laboratory flow past a groyne with complex hydrodynamics was buoys, an essentially Lagrangian tool, were used to explore the dynamics of fluid Temporal evolution of the finite size Lyapunov exponent field in cell B3. Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online An Imaginary Tale: The Story of -1 (Princeton Science Library) Read online. This book treats turbulence from the point of view of deterministic dynamical systems. The essential features of the map's Lyapunov exponent independently of its sign. System provides an excellent experimental tool to study nonlinear dynamics. A Tool to Explore Complex Dynamics. Complex dynamics of the price adjustment. The main application of all presented tools is in various areas of medical diagnosis. Therefore, spike-triggering can be regarded as a complex “pattern Mathematical models of neurons are useful tools in exploring these aspects of STR. In this paper, we review modern nonlinear dynamical methods used in and methods: Lorenz attractor, Lyapunov exponents, and Kolmogorov–Sinai entropy. 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. We expose a remarkable relationship between nonlinear dynamical systems and complex system into a different context that requires complex network tools [8]– [12] to extract its properties. Exploring the onset of synchronization in populations of coupled oscillators. Modern computers are complex nonlinear dynamical systems . Numerical Furthermore, few works on complex dynamics in parasitic system have. The existence and stability of nonnegative fixed points are explored.





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