Open sets of Axiom A flows with exponentially mixing attractors
Copyright policy )Open sets of Axiom A flows with exponentially mixing attractors
For any dimension d ≥ 3 d\geq 3 we construct C 1 \mathcal {C}^{1} -open subsets of the space of C 3 \mathcal {C}^{3} vector fields such that the flow associated to each vector field is Axiom A and exhibits a non-trivial attractor which mixes exponentially with respect to the unique SRB measure.
Primary: 37D20, axiom A flow, 1010 Mathematics, 37A25, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), flows, SRB measure, 1010 Mathematik, Ergodicity, mixing, rates of mixing, attractors, Open sets,axiom A, PREVALENCE, exponential mixing, exponentially mixing, Axiom A flow, Robust exponential decay of correlation, Dynamics induced by flows and semiflows, Secondary: 37C10, correlation function, Settore MAT/07 - FISICA MATEMATICA, DECAY, Markov partition
Primary: 37D20, axiom A flow, 1010 Mathematics, 37A25, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), flows, SRB measure, 1010 Mathematik, Ergodicity, mixing, rates of mixing, attractors, Open sets,axiom A, PREVALENCE, exponential mixing, exponentially mixing, Axiom A flow, Robust exponential decay of correlation, Dynamics induced by flows and semiflows, Secondary: 37C10, correlation function, Settore MAT/07 - FISICA MATEMATICA, DECAY, Markov partition
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