Ergodic properties of the Lozi mappings
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Publication:802186
DOI10.1007/BF01212290zbMath0553.58019OpenAlexW2039391440MaRDI QIDQ802186
Publication date: 1984
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01212290
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) General groups of measure-preserving transformations and dynamical systems (37A15)
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Statistical properties of 2‐D generalized hyperbolic attractors ⋮ Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps ⋮ Almost sure rates of mixing for i.i.d. unimodal maps ⋮ Center Bifurcation in the Lozi Map ⋮ A note on Sinaï and Bunimovich's Markov partition for billiards ⋮ Hausdorff dimension of chaotic attractors in a class of nonsmooth systems ⋮ On the symmetry-breaking bifurcation of chaotic attractors ⋮ Ergodic properties of the Belykh map. ⋮ Sinai–Ruelle–Bowen measure for normal form map of grazing bifurcations of impact oscillators ⋮ Lozi map embedded into the 2D border collision normal form ⋮ Extreme value laws in dynamical systems under physical observables ⋮ Fluctuation bounds for chaos plus noise in dynamical systems ⋮ Parameter-shifted shadowing property of Lozi maps ⋮ Approximation of chaotic systems in terms of Markovian processes ⋮ Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators ⋮ Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers ⋮ Ergodic properties of the discontinuous sawtooth map ⋮ A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems ⋮ On constructing Markov partitions by computer ⋮ Boundary influence on the entropy of a Lozi-type map ⋮ Generating partitions in Hénon-type maps ⋮ A constructive approach to robust chaos using invariant manifolds and expanding cones ⋮ On the structure of invariant attracting sets of systems of finite-difference equations generating Hénon-Lozi mappings ⋮ Chaotic attractors from border-collision bifurcations: stable border fixed points and determinant-based Lyapunov exponent bounds ⋮ Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent ⋮ Hausdorff dimensions in two-dimensional maps and thermodynamic formalism ⋮ Strong stochastic stability and rate of mixing for unimodal maps ⋮ Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures. ⋮ On the spectra of randomly perturbed expanding maps ⋮ Entropy formula for systems with inducing schemes ⋮ SLYRB measures: Natural invariant measures for chaotic systems ⋮ Sinai-Ruelle-Bowen measures for piecewise hyperbolic maps with two directions of instability in three-dimensional spaces
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