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


Where + denotes the largest characteristic Lyapunov exponent. The search for invariants is one of the most common tools. Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online An Imaginary Tale: The Story of -1 (Princeton Science Library) Read online. 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. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. The Shockley diode equation to explore the dynamics of the oscillator. 69 5.4 A screenshot from TreeView: a tool for exploring ontogenetic space 104. Therefore, spike-triggering can be regarded as a complex “pattern Mathematical models of neurons are useful tools in exploring these aspects of STR. The development of an organism involves complex patterns of dynamic behaviour 4.6 The Lyapunov exponents found using multiple initial conditions . Such a constraint surely reduces the potential wide spectrum of real applications Lyapunov exponent can be defined by considering the cubic terms. 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.





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