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Item Details
Title: COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE (2ND EDITION)
By: Michal Misiurewicz
Format: Hardback

List price: £97.00


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ISBN 10: 9810240538
ISBN 13: 9789810240530
Publisher: WORLD SCIENTIFIC PUBLISHING CO PTE LTD
Pub. date: 1 November, 2000
Edition: e
Series: Advanced Series in Nonlinear Dynamics 5
Pages: 432
Description: An introduction to the two main directions of one-dimensional dynamics. It analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.
Synopsis: This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of "chaos" present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.
Publication: Singapore
Imprint: World Scientific Publishing Co Pte Ltd
Returns: Returnable
Some other items by this author:
CENTRAL CONFIGURATIONS, PERIODIC ORBITS, AND HAMILTONIAN SYSTEMS (PB)
COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE
DYNAMICAL DYNAMICS AND ENTROPY IN DIMENSIONS ONE (HB)
DYNAMICS AND MISSION DESIGN NEAR LIBRATION POINTS - VOL I: FUNDAMENTALS: THE CASE OF COLLINEAR LIBRATION POINTS (HB)
DYNAMICS AND MISSION DESIGN NEAR LIBRATION POINTS - VOL II: FUNDAMENTALS: THE CASE OF TRIANGULAR LIBRATION POINTS (HB)
DYNAMICS THROUGH FIRST-ORDER DIFFERENTIAL EQUATIONS IN THE CONFIGURATION SPACE
DYNAMICS THROUGH FIRST-ORDER DIFFERENTIAL EQUATIONS IN THE CONFIGURATION SPACE (HB)
EXTENDED ABSTRACTS SPRING (PB)
GEOMETRIC CONFIGURATIONS OF SINGULARITIES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS
GEOMETRIC CONFIGURATIONS OF SINGULARITIES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS (HB)
HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HAMSYS-98) - PROCEEDINGS OF THE III INTERNATIONAL SYMPOSIUM (HB)
HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HB)
INTRODUCTION TO THE QUALITATIVE THEORY OF DIFFERENTIAL SYSTEMS (HB)
INVERSE PROBLEMS IN ORDINARY DIFFERENTIA (PB)
INVERSE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS (HB)
NEW ADVANCES IN CELESTIAL MECHANICS AND HAMILTONIAN SYSTEMS (HB)
NEW ADVANCES IN CELESTIAL MECHANICS AND HAMILTONIAN SYSTEMS (PB)
NEW TRENDS FOR HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HB)
QUALITATIVE ANALYSIS OF THE ANISOTROPIC KEPLER PROBLEM (PB)
QUALITATIVE THEORY OF PLANAR DIFFERENTIAL SYSTEMS (PB)
SEPARATRIX SURFACES AND INVARIANT MANIFOLDS OF A CLASS OF INTEGRABLE HAMILTONIAN SYSTEMS AND THEIR PERTURBATIONS (PB)
STRUCTURALLY STABLE QUADRATIC VECTOR FIELDS (PB)
STRUCTURALLY UNSTABLE QUADRATIC VECTOR FIELDS OF CODIMENSION ONE (PB)
THIRTY YEARS AFTER SHARKOVSKII'S THEOREM: NEW PERSPECTIVES (HB)

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