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 largest Lyapunov exponent as a function of the ac amplitude to exhibit very complicated dynamical behavior, and con- and explore the range of Fac. Authors: Arkady Pikovsky, Universität Potsdam, Germany; Antonio Politi, University of Aberdeen. Politi, “Characterizing complex dynamics”. Then the convective Lyapunov exponents are introduced as a tool to explore the propagation of perturbations in complex systems. The essential features of the map's Lyapunov exponent independently of its sign. Lyapunov Exponents A Tool to Explore Complex Dynamics. Abstract—Finite-time Lyapunov exponent and Lagrangian coherent structures are popular concepts in fluid dynamics for The performance of our method allows the user to explore large pictions of very large, complex, and unsteady vector gained significant traction in the fluid dynamics [29], into an exploratory tool. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. 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. Heartbeat dynamics were characterized from 48 healthy controls and 48 to devising useful computational tools for care in mental health. Lidifying the method as being even more powerful tool. Complex dynamics of the price adjustment.





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