George Osipenko
Springer Berlin Heidelberg
2007e druk, 2006
9783540355939
Dynamical Systems, Graphs, and Algorithms
Specificaties
Paperback, 288 blz.
|
Engels
Springer Berlin Heidelberg |
2007e druk, 2006
ISBN13: 9783540355939
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
Specificaties
ISBN13:9783540355939
Taal:Engels
Bindwijze:paperback
Aantal pagina's:288
Uitgever:Springer Berlin Heidelberg
Druk:2007
Inhoudsopgave
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.