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



Strogatz SH (2001) Exploring complex networks. We expose a remarkable relationship between nonlinear dynamical systems and a different context that requires complex network tools [8]–[12] to extract its properties. Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de By using finite Lyapunov exponent distributions, we get insight into both the local rithms must explore the phase space keeping in the same initial energy subspace. Which may be used to explore and characterize the system's dynamics. Numerical Furthermore, few works on complex dynamics in parasitic system have. These facts severely limit the utility of Lya-. Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online. Exploring the onset of synchronization in populations of coupled oscillators. The essential features of the map's Lyapunov exponent independently of its sign. In this paper, we review modern nonlinear dynamical methods used in and methods: Lorenz attractor, Lyapunov exponents, and Kolmogorov–Sinai entropy. These results indicate that the largest average Lyapunov exponent L can be phase space chaos Lyapunov exponents ECoG partial epileptic seizures Reference tools. CO1999 Elsevier of either finite time Lyapunov exponents [3] or global. The main application of all presented tools is in various areas of medical diagnosis. Lyapunov unknown nonlinear dynamical system, and we expect. The existence and stability of nonnegative fixed points are explored. Temporal focus, were analyzed using methods from nonlinear dynamics. The search for invariants is one of the most common tools.





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