Buch, Englisch, 514 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 982 g
ISBN: 978-1-4419-2330-1
Verlag: Springer
The editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.
Zielgruppe
Research
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Weitere Infos & Material
Deterministic Nonperiodic Flow.- On Invariant Measures for Expanding Differentiable Mappings.- On the Existence of Invariant Measures for Piecewise Monotonic Transformations.- The Ergodic Theory of Axiom A Flows.- Period Three Implies Chaos.- Simple Mathematical Models with Very Complicated Dynamics.- A Two-Dimensional Mapping with a Strange Attractor.- Strange Attractors and Chaotic Motions of Dynamical Systems.- Ergodic Properties of Invariant Measures for Piecewise Monotonic Transformations.- The Dimension of Chaotic Attractors.- Measuring the Strangeness of Strange Attractors.- Invariant Measures and Variational Principle for Lozi Applications.- Ergodic Properties of The Lozi Mappings.- On the Concept of Attractor.- Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps.- Ergodic Theory of Chaos and Strange Attractors.- Another Proof of Jakobson’s Theorem and Related Results.- Unstable Periodic Orbits and the Dimensions of Multifractal Chaotic Attractors.- Absolutely Continuous Invariant Measures for Piecewise Expanding C2 Transformation in RN.- Sinai-Bowen-Ruelle Measures for Certain Henon Maps.- On the Approximation of Complicated Dynamical Behavior.- Absolutely Continuous Invariant Measures for Piecewise Real-Analytic Expanding Maps on the Plane.- SRB Measures for Partially Hyperbolic Systems Whose Central Direction is Mostly Expanding.- SLYRB Measures: Natural Invariant Measures for Chaotic Systems.- Credits.
