E-Book, Englisch, Band 1889, 288 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Osipenko Dynamical Systems, Graphs, and Algorithms
2007
ISBN: 978-3-540-35595-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1889, 288 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-35595-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
