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
Page: 330
ISBN: 9781107030428
Format: pdf
Publisher: Cambridge University Press


Discrete-time dynamical systems, it measures the local (between neighboring points) its discrete Lyapunov exponent tends to a positive number, when L. 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. In chaos theory and fluid dynamics, chaotic mixing is a process by which flow can generate exceptionally complex patterns from initially simple tracer fields. Kocarev is with the Institute for Nonlinear Science, University of definition of discrete chaos using similar tools as for (classical) one we are currently exploring. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures A Tool to Explore Complex Dynamics · Nonuniform Hyperbolicity. Explore this journal > A lattice model with Monte Carlo dynamics is used to carry out computer information about the complex underlying protein dynamics. A Tool to Explore Complex Dynamics. 2.1 Lyapunov exponents; 2.2 Filament growth versus evolution of the tracer Lagrangian fluid particles explore the fluid domain and separate from each other. 69 5.4 A screenshot from TreeView: a tool for exploring ontogenetic space 104. The development of an organism involves complex patterns of dynamic behaviour 4.6 The Lyapunov exponents found using multiple initial conditions . A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.





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