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Strange attractors and asymptotic measures of discrete-time dissipative systems

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-0-387-21830-4_5openalex-snapshot
The Ergodic Theory of Axiom A Flows
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Principles of Advanced Mathematical Physics
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The ergodic theory of AxiomA flows
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A horseshoe with positive measure
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�ber den h�heren Zusammenhang kompakter R�ume und eine Klasse von zusammenhangstreuen Abbildungen
inferredcites →https://doi.org/10.1007/bf01608556openalex-snapshot
A two-dimensional mapping with a strange attractor
inferredcites →https://doi.org/10.1007/bf02684770openalex-snapshot
The structure of Lorenz attractors
inferredcites →https://doi.org/10.1007/bfb0064319openalex-snapshot
Chaotic behavior of multidimensional difference equations
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Numerical solution of a generalized eigenvalue problem for even mappings
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Lecture III Dynamical systems and turbulence
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Lecture VII The structure of lorenz attractors
inferredcites →https://doi.org/10.1016/0022-0396(83)90011-6openalex-snapshot
The liapunov dimension of strange attractors
inferredcites →https://doi.org/10.1016/0040-9383(67)90005-5openalex-snapshot
One-dimensional non-wandering sets
inferredcites →https://doi.org/10.1063/1.3068879openalex-snapshot
Stable and Random Motions in Dynamical Systems
inferredcites →https://doi.org/10.1070/rm1972v027n04abeh001383openalex-snapshot
GIBBS MEASURES IN ERGODIC THEORY
inferredcites →https://doi.org/10.1090/s0002-9939-1955-0068211-8openalex-snapshot
A Note on Unstable Homeomorphisms
inferredcites →https://doi.org/10.1090/s0273-0979-1981-14917-xopenalex-snapshot
Differentiable dynamical systems and the problem of turbulence
inferredcites →https://doi.org/10.1103/physrevlett.46.1547openalex-snapshot
Calculation of the Statistical Properties of Strange Attractors
inferredcites →https://doi.org/10.1142/9789812833709_0006openalex-snapshot
A MEASURE ASSOCIATED WITH AXIOM-A ATTRACTORS
inferredcites →https://doi.org/10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2openalex-snapshot
Deterministic Nonperiodic Flow
inferredcites →https://doi.org/10.2307/2373810openalex-snapshot
A Measure Associated with Axiom-A Attractors
inferredcites →https://doi.org/10.4064/fm-15-1-102-125openalex-snapshot
Ueber topologisch homogene Kontinua

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Stochastic perturbations of some strange attractors
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On the Concept of Attractor
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Some Remarks on the Statistical Modeling of Chaotic Systems
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Chaos in Dissipative Quantum Systems
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Chaos in Lasers
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Approach to Equilibrium: Kuzmin’s Theorem for Dissipative and Expanding Maps
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Rigorous statistical procedures for data from dynamical systems
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Stochastic versus chaotic dynamics in a deterministic system
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On the concept of attractor: Correction and remarks
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On the concept of attractor
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Approach to equilibrium for locally expanding maps in ? k
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Global and local dissipation in a quantum map
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Ergodic properties of a kicked damped particle
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Driven chaotic motion in single- and double-well potentials
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Quantum noise and strange attractors
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Quantization of a two-dimensional map with a strange attractor
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Correlation functions of a time-continuous dissipative system with a strange attractor
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From dynamical systems to the Langevin equation
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Brownian motion from deterministic dynamics
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Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle's motion?
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Dynamical systems of Langevin type
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Quantisation of the Kaplan-Yorke model
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Higher correlation functions of chaotic dynamical systems-a graph theoretical approach
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What Are the New Implications of Chaos for Unpredictability?
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Approach to Gaussian stochastic behavior for systems driven by deterministic chaotic forces
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Philosophical aspects of chaos: definitions in mathematics, unpredictability, and the observational equivalence of deterministic and indeterministic descriptions
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Zero's of Exponential Sums and Best Diophantine Approximations
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What Are the New Implications of Chaos for Unpredictability?
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