Spanning the wide reach of nonlinear dynamics throughout mathematics and the natural and physical sciences, Chaos: An Introduction to Dynamical Systems develops and explains the most intriguing and fundamental elements of the topic, and examines their broad implications. Among the major topics included are discrete dynamical systems, chaos, fractals, nonlinear differential equations, and bifurcations.

Autorentext

Inhalt
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.