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Lyapunov Exponents: A Tool to Explore Complex

Lyapunov Exponents: A Tool to Explore Complex

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

Lyapunov Exponents: A Tool to Explore Complex Dynamics


Lyapunov.Exponents.A.Tool.to.Explore.Complex.Dynamics.pdf
ISBN: 9781107030428 | 330 pages | 9 Mb


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Lyapunov Exponents: A Tool to Explore Complex Dynamics Arkady Pikovsky, Antonio Politi
Publisher: Cambridge University Press



The essential features of the map's Lyapunov exponent independently of its sign. Lyapunov unknown nonlinear dynamical system, and we expect. 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,. A Tool to Explore Complex Dynamics. 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. Lidifying the method as being even more powerful tool. We expose a remarkable relationship between nonlinear dynamical systems and a different context that requires complex network tools [8]–[12] to extract its properties. Fishpond NZ, Lyapunov Exponents: A Tool to Explore Complex Dynamics by Antonio Politi Arkady Pikovsky. Compared with the results from Lyapunov metrics computation. Dynamics How To Download Ebook To iPhone. Strogatz SH (2001) Exploring complex networks. Download Lyapunov Exponents: A Tool to Explore Complex Dynamics Book Here! These facts severely limit the utility of Lya-. Algorithmic complexity measure and Lyapanov exponents. Download Lyapunov Exponents : A Tool to Explore Complex Dynamics book ( ISBN : 1107030420) by Arkady Pikovsky for free. CO1999 Elsevier of either finite time Lyapunov exponents [3] or global. 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. Analyzing complex synchronization patterns in multi-frequency systems as a paradigmatic model of exploring the dynamics of coupled systems since the The largest three Lyapunov exponents are an effectively indicator of phase of synchronous index is a useful tool to study experimental systems. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.



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