Dynamical Systems, Graphs, and Algorithms (Lecture Notes in Mathematics): Book w. online files/update (Lecture Notes in Mathematics, 1889, Band 1889) - Softcover

Osipenko, George

Softcover

ISBN 10: 3540355936 ISBN 13: 9783540355939

Verlag: Springer, 2006

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

George Osipenko is Professor in the Department of Applied Mathematics, Moscow State University, branch in Sevastopol, Russia, since 2015. Earlier, he taught at the Institute of Banking in Sevastopol, from 2010–2014. He taught at the Sevastopol Polytechnic Institute, from 2006–2009. He also taught at the St. Petersburg (Leningrad) Polytechnic Institute of Peter the Great, from 1975–2005. He completed his graduation and post-graduation in mathematics from the Faculty of Mathematics and Mechanics of the Leningrad University, Russia, respectively in 1972 and 1975. He defended his doctoral dissertation and received a professor’s degree, in 1990. He is awarded the N.N. Bogolyubova award, in 2009.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2006
• Sprache: Englisch
• ISBN 10: 3540355936
• ISBN 13: 9783540355939
• Einband: Taschenbuch
• Anzahl der Seiten: 304
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland