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CHAOS IN THREE DIMENSIONS ITERATED MAPS QUANTIFICATION OF CHAOS MULTIDIMENSIONAL SOLITONS

Course Synopsis

CHAOS IN THREE DIMENSIONS Three Dimensional dynamical systems Fixed points Limit cycles and Poincare sections Routes to chaos Lyapunov Exponents Lorentz model and Galerkin Truncation ITERATED MAPS One Dimensional iterated maps Bifurcations in iterated map: Bifurcations, Period Doubling, Chaos and Lyapunov Exponents Theory derivation of Feigenbaum numbers QUANTIFICATION OF CHAOS Time series Universal scaling of the Lyapunov exponents MULTIDIMENSIONAL SOLITONS Kadomsteev-Petviashvilli equation, Solution and behaviour Vortices and piece wise linear solutions


Nonlinearity and Non Linear Effects,

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Method of multiple scales

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Book Title : Chaos and Non Linear Dynamcis
Author : Hilborn RC
Edition :
Publisher : OUP 1994



Book Title : Deterministic Chaos
Author : Schuster HG
Edition :
Publisher : VCH Verlag, 1988







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