Title | The Theory of Chaotic Attractors [electronic resource] / edited by Brian R. Hunt, Tien-Yien Li, Judy A. Kennedy, Helena E. Nusse |
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Imprint | New York, NY : Springer New York : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-0-387-21830-4 |
Descript | X, 514 p. online resource |
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 Jakobsonโs 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