Umfang:
1 Online-Ressource (xx, 286 pages)
,
digital, PDF file(s)
ISBN:
9780511524585
Serie:
Cambridge nonlinear science series 4
Inhalt:
This book deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems. The most important invariants used to characterise chaotic systems are introduced in a way that stresses the interconnections with thermodynamics and statistical mechanics. Among the subjects treated are: probabilistic aspects of chaotic dynamics; the symbolic dynamics technique; information measures, the maximum entropy principle; general thermodynamic relations; spin systems; fractals and multifractals; expansion rate and information loss; the topological pressure; transfer operator methods; and repellers and escape. The more advanced chapters deal with the thermodynamic formalism for expanding maps, the thermodynamic analysis of chaotic systems with several intensive parameters and phase transitions in nonlinear dynamics
Inhalt:
Nonlinear mappings -- Probability in the theory of chaotic systems -- Symbolic dynamics -- The Shannon information -- Further information measures -- Generalized canonical distributions -- The fundamental thermodynamic relations -- Spin systems -- Escort distributions -- Fractals -- Multifractals -- Bit-cumulants in multifractal statistics -- Thermodynamics of finite volume -- Statistics of dynamical symbol sequences -- Expansion rate and information loss -- The topological pressure -- Transfer operator methods -- Repellers and escape -- Thermodynamics of expanding maps -- Thermodynamics with several intensive parameters -- Phase transitions -- References -- Index
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9780521433679
Weitere Ausg.:
ISBN 9780521484510
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9780521433679
Sprache:
Englisch
DOI:
10.1017/CBO9780511524585
