Part of the "Advanced Series in Nonlinear Dynamics", this book covers interval maps, circle maps and entropy.
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"As a whole, the book is carefully written and contains a very detailed account of a body of material along with some new results. The book will serve as a valuable reference for those interested in the combinatorial aspects of one-dimensional dynamical systems." A Quas Mathematics Abstracts
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Inside This Book
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First Sentence:
We shall denote by N the set of all natural numbers (we do not consider 0 as a natural number; thus N is the set of all positive integers). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
lifted cycle, periodicity kernel, lifted pattern, path transition matrix, finite invariant set, forcing relation, transitive maps, topological entropy zero, kneading theory, rotation interval, surface homeomorphisms, lifted orbit, piecewise monotone maps, interval maps, combinatorial dynamics, fixed point classes, oriented pattern, rotation theory, triangular maps, generalized cycle, pointed graph, unimodal maps, pairwise disjoint interiors, entropy patterns, kneading sequences Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sharkovskii Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We shall denote by N the set of all natural numbers (we do not consider 0 as a natural number; thus N is the set of all positive integers). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
lifted cycle, periodicity kernel, lifted pattern, path transition matrix, finite invariant set, forcing relation, transitive maps, topological entropy zero, kneading theory, rotation interval, surface homeomorphisms, lifted orbit, piecewise monotone maps, interval maps, combinatorial dynamics, fixed point classes, oriented pattern, rotation theory, triangular maps, generalized cycle, pointed graph, unimodal maps, pairwise disjoint interiors, entropy patterns, kneading sequences Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sharkovskii Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 9
books:
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12
books
cite this book:
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- European Conference on Iteration Theory (Ecit 87 Caldes De Malavella, Spain 20 26 September 1987) by C. Alsian in Back Matter (1), and Back Matter (2)
- Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) by Lawrence C. Washington in Back Matter
- Wave Collapse (Advanced Series in Nonlinear Dynamics) by Eugenii A. Kuznetsov in Front Matter
- Dynamical Systems by LAN Wen in Front Matter
- Localization and Solitary Waves in Solid Mechanics (Advanced Series in Nonlinear Dynamics) by A. R. Champneys in Front Matter
See all 9 books this book cites
- Dynamical Systems and Applications (World Scientific Series in Applicable Analysis) by Ravi P. Agarwal on page 115
- Topics in Nonlinear Time Series Analysis: With Implications for Eeg Analysis (Advanced Series in Nonlinear Dynamics, 14) by Andreas Galka in Front Matter
- Surveys in Economic Dynamics (Surveys of Recent Research in Economics) by Donald A. R. George on page 146
- Database Theory - ICDT 2003: 9th International Conference, Siena, Italy, January 8-10, 2003, Proceedings (Lecture Notes in Computer Science) by Diego Calvanese on page 205
- Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001: New Progress in Difference Equations by Bernd Aulbach on page 197
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