Abstract:Discrete dynamical systems - generalities on dynamical systems, examples of discrete dynamical systems, problems one-dimensional dynamical systems - preliminaries on one-dimensional systems, nonlinear...Discrete dynamical systems - generalities on dynamical systems, examples of discrete dynamical systems, problems one-dimensional dynamical systems - preliminaries on one-dimensional systems, nonlinear one-dimensional systems, global behaviour and conjugacy, parameter space analysis, problems functions and matrices - matrices, matrices as linear operators, derivative and first order approximation, problems discrete linear dynamical systems - linear and affine processes, stability and instability of the origin, the origin as a saddle point, Eigenvalues with modulus I, problems nonlinear dynamical systems - global stability of equilibrium points, sinks, repellers and saddles, bounded invariant sets, bifurcation, problems chaotic behaviour - attractors, chaotic dynamical systems, dimension, Lyapunov exponents, problems analysis of four dynamical systems - a blood cell population model, predator-prey models, the Lorenz model, neural networks, problems.Read More
Publication Year: 1994
Publication Date: 1994-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 33
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