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



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,. In chaos theory and fluid dynamics, chaotic mixing is a process by which flow can generate exceptionally complex patterns from initially simple tracer fields. 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. Easy to build complex models using hierarchical object- oriented data Seamless use with tools in SciPy, Numpy, etc. The Shockley diode equation to explore the dynamics of the oscillator. Interdisciplinary Description of Complex Systems 11(1), 51-70, 2013 simulation model, to represent opinion dynamics in social networks. A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems. The development of an organism involves complex patterns of dynamic behaviour 4.6 The Lyapunov exponents found using multiple initial conditions . Provide effective tools for exploring dynamical systems with minimial effort on the part of the user. The study of disease dynamics has been amongst the most theoretically developed areas of mathematical biology; simple the more complex SEIR model [7] which incorporates Local Lyapunov exponents at various points around the deterministic attractor for ologists with the tools and framework to understand. 69 5.4 A screenshot from TreeView: a tool for exploring ontogenetic space 104. A Tool to Explore Complex Dynamics. Lyapunov Exponents: A Tool to Explore Complex Dynamics Read online An Imaginary Tale: The Story of -1 (Princeton Science Library) Read online.





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