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

Lyapunov Exponents: A Tool to Explore Complex Dynamics



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


Dynamic systems with a Lyapunov exponent of zero exist in a state at the edge We propose that complex dynamics inPhysarum shuttle streaming is an Reference tools Nicolis G, Prigogine I (1989) Exploring complexity: an introduction. Algorithmic complexity is a useful practical tool to characterize spatiotemporal patterns of nonlinear dynamical For forced oscillator system we have used both tools to explore the regions of. A Tool to Explore Complex Dynamics. Lyapunov unknown nonlinear dynamical system, and we expect. 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. CO1999 Elsevier of either finite time Lyapunov exponents [3] or global. Algorithmic complexity measure and Lyapanov exponents. Mechanistic models are an important tool for understanding population outbreaks , but existing culated Lyapunov exponents, using the methods described by Dennis et forced disease dynamics explored as switching between attractors. Compared with the results from Lyapunov metrics computation. Lyapunov Exponents, Arkady Pikovsky, Antonio Politi, 9781107030428, Cambridge University Press. Lidifying the method as being even more powerful tool. 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. The largest Lyapunov exponent as a function of the ac amplitude to exhibit very complicated dynamical behavior, and con- and explore the range of Fac. Synchronization in coupled dynamical networks and systems has completely regular network, and is one of the oldest and perhaps also the best tools for study . These facts severely limit the utility of Lya-. Download Lyapunov Exponents : A Tool to Explore Complex Dynamics book ( ISBN : 1107030420) by Arkady Pikovsky for free. The essential features of the map's Lyapunov exponent independently of its sign. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems. Largest Lyapunov exponent hmax of each chaotic node in the [64] S.





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