PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR THE DISCRETE ZAKHAROV EQUATIONS
Copyright policy )PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR THE DISCRETE ZAKHAROV EQUATIONS
Summary: This article studies the probability distributions of solutions in the phase space for the discrete Zakharov equations. The authors first prove that the generated process of the solutions operators possesses a pullback-\({\mathcal D}\) attractor, and then they establish that there exists a unique family of invariant Borel probability measures supported by the pullback attractor.
discrete Zakharov equations, invariant measure, Discrete version of topics in analysis, Lattice dynamics and infinite-dimensional dissipative dynamical systems, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, pullback attractor
discrete Zakharov equations, invariant measure, Discrete version of topics in analysis, Lattice dynamics and infinite-dimensional dissipative dynamical systems, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, pullback attractor
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