Discrete dynamical systems and chaos
著者
書誌事項
Discrete dynamical systems and chaos
（Pitman monographs and surveys in pure and applied mathematics, 62）
Longman Scientific & Technical , Wiley, 1992
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
In a balanced presentation, this Monograph presents definitions and results on dynamical systems and chaos in a manner accessible to undergraduates in a range of disciplines with of theoretical results and practical applications.
目次
- 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.
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