Beschreibung
Describes a family of algorithms for studying the global structure of systems Introduces Symbolic dynamics as a tool for investigating complicated phenomena such as chaos and strange attractors Opens the way to considerable information, and more techniques may emerge
Inhalt
Introduction.- Symbolic Image.- Periodic Trajectories.- Newton''s Method.- Invariant Sets.- Chain Recurrent Set.- Attractors.- Filtration.- Structural Graph.- Entropy.- Projective Space and Lyapunov Exponents.- Morse Spectrum.- Hyperbolicity and Structural Stability.- Controllability.- Invariant Manifolds.- Ikeda Mapping Dynamics.- A Dynamical System of Mathematical Biology.- Double Logistic Map.- Symbolic Image Implementation.- Bibliography.