Top PDF SRB measures for non-hyperbolic systems with multidimensional expansion
SRB measures for non-hyperbolic systems with multidimensional expansion
... Our approach involves an inducing procedure, based on the notion of hyperbolic time that we introduce here, and contains a theorem of existence of absolutely continuous invariant measure[r] ...
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Generic measures for hyperbolic flows on non compact spaces
... ergodic measures on the skew-product must be singular with respect to the action of the group ...of hyperbolic systems to coverings of the base space. For these systems, lifts of ...
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Stable ergodicity and physical measures for weakly hyperbolic dynamical systems
... author with P. Carrasco, we prove that if there exists an SRB measure then it has full ...the systems are skew products for T 2 ×T 2 ...result for systems which are not skew ...
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Existence of unique SRB-measures is typical for real unicritical polynomial families
... dynamical systems have a finite number of metric attractors whose union of basins of attraction has total probability, and that each of these attractors either is a periodic orbit or supports a physical measure, ...
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Roe Solver with Entropy Corrector for Uncertain Hyperbolic Systems
... consistent with the physics. As in the deter- ministic case, non-physical expansion shocks occur in the stochastic case in the vicinity of sonic points; this is illustrated in the numerical ...
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Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation
... result, for some norm to be precised, kεW 1 k appears to be the right quantity for estimating the difference between the fine model and the coarse ...schemes for the fine model ( 1 ), we perform a ...
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Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems
... 4] for a complete description of the results.) For discretized problems, the question was solved in [ 13 ] where the author proves stability for non-zero initial data in one space ...problems ...
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A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
... results with classical ADER-WENO ...approaches. For the test cases we carried out, the ADER-MOOD scheme requires at least 3 times less memory storage and runs 60% faster when sequential and 30% when ...
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Uniqueness for multidimensional hyperbolic systems with commuting Jacobians
... nonlinear hyperbolic systems of conser- vation laws in several space dimensions whose Jacobian matrices commute and, more generally, systems that need not be conser- ...LeFloch for one- ...
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SRB MEASURES FOR ALMOST AXIOM A DIFFEOMORPHISMS
... , for all 0 < k < n ...other hyperbolic properties than the local stable and unstable ...assumption with lim inf instead of lim sup in the definition of λ -hyperbolic point does not ...
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Harmonic measures versus quasiconformal measures for hyperbolic groups
... harmonic measures. The usual tool for this kind of results is to replace the action of the group by a linear-in-time action of a dynamical system and then to apply the thermodynamic formalism to it: ...
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Some local questions for hyperbolic systems with non-regular time dependent coefficients
... L with coefficients in Zygmund ...symmetrizer, for which, then, smoothness in ξ fails to hold; in fact, we do not even have a true symmetrizer for our system, but just a family of approximate ...
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Multidimensional Riemann Problem with Self-Similar Internal Structure – Part III– A Multidimensional Analogue of the HLLI Riemann Solver for Conservative Hyperbolic Systems
... used for all second and third order hydrodynamical simulations in this ...analysis for the numerical solution of the induction equation is now available, Balsara and Käppeli ...schemes for the ...
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Robust Asymptotic Stabilization of Nonlinear Systems With Non-Hyperbolic Zero Dynamics
... industry for three years, in 1980 he joined the Centre Automatique et Systèmes at École des Mines de ...Director for two years. In 1993, he spent a quarter at the Institute for Math- ematics and its ...
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Density large deviations for multidimensional stochastic hyperbolic conservation laws
... Then, in Section 3, we derive our main results: i a quite formal lower bound for the probability of observing a generic weak solution in terms of the entropy production in Section 3.1; i[r] ...
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TOPOLOGICAL AND SYMBOLIC DYNAMICS FOR HYPERBOLIC SYSTEMS WITH HOLES
... sofic systems are ...criterion for when the hole leads to a ...holes with continuous boundary) with corresponding topologies/measures to show that the “typical” hole leads to a ...set ...
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Viscous approach for Linear Hyperbolic Systems with Discontinuous Coefficients.
... introduced for ζ in a neighborhood of zero, the important linear subspaces to consider are then the positive and negative spaces of the rescaled versions of A + and A − ...well-defined, for ˇ τ 2 + ˇ γ 2 = ...
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Viscous approach for Linear Hyperbolic Systems with Discontinuous Coefficients
... symmetrizer for each diagonal ...described for medium ...symmetrizers for this hyperbolic block needs a specific approach.For 1-D systems, which is our present case, the construction of ...
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Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms
... 6.3 Fully nonlinear test-cases Here we test the behavior of the scheme in the general case (1)-(2). Since the source-term depends on t, u and v, the exact integration for the splitting tech- nique (50) is not ...
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Certified Non-conservative Tests for the Structural Stability of Discrete Multidimensional Systems
... approach for testing the last condition of Theorem 1 based on the M¨ obius transform and a critical point ...illustrated with explicit examples in Section ...test for 2-D systems is presented ...
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