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Random Attractor

Random attractor of stochastic partly dissipative systems perturbed by Lévy noise

Random attractor of stochastic partly dissipative systems perturbed by Lévy noise

... to random dynamics of stochastic partly dissipative systems perturbed by Lévy ...multivalued random dynamical systems (MRDS), the existences of random attractor for MRDS generated by the ...

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Existence of Random Attractor Family for a Class of Nonlinear Higher Order Kirchhoff Equations

Existence of Random Attractor Family for a Class of Nonlinear Higher Order Kirchhoff Equations

... global random attractor for general stochastic dynamical systems, and then use these sufficient conditions to give a simple method for finding the global random attractors of the upper bound of ...

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Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise

Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise

... of random attractor family for a class of nonlinear high-order Kirchhoff equation stochastic dynamical systems with white noise is ...the random attractor family is obtained by isomorphic ...

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Random Attractor of the Stochastic Strongly Damped for the Higher Order Nonlinear Kirchhoff Type Equation

Random Attractor of the Stochastic Strongly Damped for the Higher Order Nonlinear Kirchhoff Type Equation

... In this paper, we consider the stochastic higher-order Kirchhoff-type equation with nonlinear strongly dissipation and white noise. We first deal with ran- dom term by using Ornstein-Uhlenbeck process and establish the ...

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Random attractor for a stochastic viscous coupled Camassa Holm equation

Random attractor for a stochastic viscous coupled Camassa Holm equation

... pullback random attractor theory for random dynamical systems and some ...a random dynamical system for the stochastic viscous coupled Camassa-Holm ...bounded random absorbing sets and ...

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Dynamics and invariant manifolds for a nonlocal stochastic Swift Hohenberg equation

Dynamics and invariant manifolds for a nonlocal stochastic Swift Hohenberg equation

... global random attractor and existence of invariant manifolds are investigated for the two-dimensional nonlocal stochastic Swift-Hohenberg equation with multiplicative noise defined on a bounded planar domain ...

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Attractors for the Stochastic Lattice Selkov Equations with Additive Noises

Attractors for the Stochastic Lattice Selkov Equations with Additive Noises

... that random dynamical system is pullback asymptotically com- pact in E by Lemma ...the random dynamical sys- tem has a pullback absorbing set by Lemma ...a random attractor follow from Theorem ...

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Random exponential attractor for second order non autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces

Random exponential attractor for second order non autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces

... a random dynamical system can be determined by the random ...a random attractor attracting orbits is sometimes relatively slow and the dimension of a random attractor is maybe ...

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Random pullback attractor of a non-autonomous local modified stochastic Swift-Hohenberg with multiplicative noise

Random pullback attractor of a non-autonomous local modified stochastic Swift-Hohenberg with multiplicative noise

... -pullback attractor when the external force has exponential growth, Xu et ...uniform attractor when the external force g ( x , t ) satisfies translation bounded, these results need the spatial variable in ...

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Asymptotic behavior of stochastic p-Laplacian-type equation with multiplicative noise

Asymptotic behavior of stochastic p-Laplacian-type equation with multiplicative noise

... We give the outline of this paper. In Section , we present some preliminaries for the theory of RDS and the results about the Laplacian which are necessary to our discussion. In Section , we prove the existence and ...

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Dynamic behaviors of a local modified stochastic Swift-Hohenberg equation with multiplicative noise

Dynamic behaviors of a local modified stochastic Swift-Hohenberg equation with multiplicative noise

... with random parameter, we obtain uniform a priori estimates under some additional assumptions and prove the existence of global random attractor for the random dynamical system associated with ...

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Random Attractors for the Kirchhoff Type Suspension Bridge Equations with Strong Damping and White Noises

Random Attractors for the Kirchhoff Type Suspension Bridge Equations with Strong Damping and White Noises

... of random attractor for the random dynamical system generated by the Kirchhoff-type suspension bridge equa- tions with strong damping and white ...

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Dimension estimates of the attractor for the dissipative quantum Zakharov equations

Dimension estimates of the attractor for the dissipative quantum Zakharov equations

... where H > 0 is the quantum parameter expressing the ratio between the ion plasmon en- ergy and the electron thermal energy, and α > 0 and γ > 0. Until now, the global well- posedness and the limit behaviors of ...

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Dynamic Mutation–Selection Balance as an Evolutionary Attractor

Dynamic Mutation–Selection Balance as an Evolutionary Attractor

... Although we expect that the probability a mutation is beneficial will depend on the absolute fitness and hence on k, as discussed in the Introduction, we assume e to be an independent constant parameter. The neglect of the ...

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Attractor for a Viscous Coupled Camassa Holm Equation

Attractor for a Viscous Coupled Camassa Holm Equation

... Up to now, great efforts have been already devoted to the Camassa-Holm equation. A. Constantin see 19–21 considered the Cauchy problem, inverse spectral problem, and inverse scatting transform for Camassa-Holm equation, ...

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Global attractor for the generalized hyperelastic-rod equation

Global attractor for the generalized hyperelastic-rod equation

... The rest of this paper is organized as follows: Section  describes the main definitions used in this paper. The existence of the global solution is discussed in Section . The ex- istence of the absorbing set is detailed ...

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Attractor of Cantor type with positive measure

Attractor of Cantor type with positive measure

... an attractor of some IFS (see [2]), and moreover, that typical closed sets in [0, 1] can not be attractors of any IFS (see ...an attractor for any IFS composed of weak contractions of [0, 1] into itself ...

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A spiral attractor network drives rhythmic locomotion

A spiral attractor network drives rhythmic locomotion

... Figure 8: Mapping of participation in the attractor across the ganglion network. Here we plot neuron location with respect to the photodiode array (yellow hexagon). Each plot pools neurons from preparations of the ...

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Expectations, Price Fluctuations and Lorenz Attractor

Expectations, Price Fluctuations and Lorenz Attractor

... properties of return fluctuations (Campbell, 1985; Keim and Stambaugh, 1986; Fama, E.F., 1998; Calvet and Fisher, 2002; Greenwood and Shleifer, 2014; van Binsbergen, Gontis et al, 2016; Gontis et al, 2016; Koijen, 2017) ...

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The Global Attractor of Thermoelastic Coupled System

The Global Attractor of Thermoelastic Coupled System

... of Random attractors for stochastic Sine-Gordon lattice ...global attractor for the “thermoelastic coupled” rod sys- tem (1)? To our knowledge, nothing was known until ...

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