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Nonlinear Dynamics

Author: Marc R. Roussel
Url: http://people.uleth.ca/~roussel/nld/
Format: Pdf
Year: 2005
Category: Dynamical Systems
Clicks: 4321

Contents: Definition and examples of dynamical systems; Introduction to phase-plane analysis; Stability analysis for ODEs; Introduction to bifurcations; Bifurcation analysis using AUTO; Invariant manifolds; Singular perturbation theory; Hamiltonian systems; Nonautonomous systems; Maps and differential equations; Stability and bifurcation analysis of maps; Maple worksheet demonstrating the computation of Liapunov exponents for the logistic map; Delay-differential equations; Reaction-diffusion equations.

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