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[PDF] Top 20 Lower semicontinuity of attractors for non autonomous dynamical systems

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Lower semicontinuity of attractors for non autonomous dynamical systems

Lower semicontinuity of attractors for non autonomous dynamical systems

... and lower semicontinuity of the local unstable manifolds under perturbation (see also Stuart and Humphries [29], and Kostin [22] and Elliot and Kostin [16], who use a similar argument based on the ... See full document

17

Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping

Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping

... global attractors developed to study autonomous dynamical systems, and it is well suited to study the non-autonomous dynamical ...pullback attractors in (H ... See full document

15

Existence of the uniform attractors for a non autonomous modified Swift Hohenberg equation

Existence of the uniform attractors for a non autonomous modified Swift Hohenberg equation

... the dynamical systems and their attractors have been exten- sively studied, please refer to [–] and references ...the non-autonomous dynamical systems were presented by ... See full document

11

Upper Semicontinuity of Global Attractors for Singularly Perturbed Plate Equations

Upper Semicontinuity of Global Attractors for Singularly Perturbed Plate Equations

... upper semicontinuity and lower semicontinuity of the family of attractors with respect to the topology of for attractors of singularly perturbed wave equations on bounded domain, ...of ... See full document

5

Pullback attractors for a class of non-autonomous reaction-diffusion equations in \(\mathbb{R}^{n}\)

Pullback attractors for a class of non-autonomous reaction-diffusion equations in \(\mathbb{R}^{n}\)

... the systems when the initial instant of time goes to – ∞ and the final time remains ...pullback attractors were extended to non-autonomous dynamical ...pullback attractors has ... See full document

15

Uniform Exponential Attractors for Non Autonomous Strongly Damped Wave Equations

Uniform Exponential Attractors for Non Autonomous Strongly Damped Wave Equations

... In non-autono- mous dynamical systems, instead of a semigroup, we have a so-called (dynamical) process U t ( ) , τ depending on two parameters , t τ ∈  (or , t τ ∈  for discrete ...of ... See full document

13

Remarks on uniform attractors for the 3D non-autonomous Navier-Stokes-Voight equations

Remarks on uniform attractors for the 3D non-autonomous Navier-Stokes-Voight equations

... dimensional dynamical systems, Sell [5] constructed the semiflow generated by the weak solution which lacks the global regularity and obtained the existence of global attractor of the 3D incompressible ... See full document

11

The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*

The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*

... random attractors has been investigated by many authors, see, ...for non-autonomous or these random dynamical ...this attractors to a component subset for a fixed parameter value is ... See full document

10

Structure and bifurcation of pullback attractors in a non autonomous Chafee Infante equation

Structure and bifurcation of pullback attractors in a non autonomous Chafee Infante equation

... pullback attractors related to small non-autonomous perturbations of autonomous dynamical systems possessing a global ...small non-autonomous perturbation of an ... See full document

17

The Existence and Stability of Synchronizing Solution of Non Autonomous Equations  with Multiple Delays

The Existence and Stability of Synchronizing Solution of Non Autonomous Equations with Multiple Delays

... In this section, we establish some results on synchronizing solutions for (1.1), by developing some techniques in- spired by works [2] and [1]. It is known that if g has some special structure, i.e., periodic, ... See full document

6

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

... exponential attractors for second order autonomous and non- autonomous stochastic lattice system ...corresponding autonomous and non-autonomous stochastic systems ... See full document

21

Existence and upper semicontinuity of attractors for non autonomous stochastic lattice FitzHugh Nagumo systems in weighted spaces

Existence and upper semicontinuity of attractors for non autonomous stochastic lattice FitzHugh Nagumo systems in weighted spaces

... lattice dynamical systems (SLDSs) arise in a variety of applications where the spatial structure has a discrete character, and uncertainties or random influences are taken into ...random attractors ... See full document

20

Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems

Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems

... the semicontinuity of the solution mapping for a parametric vector equilibrium ...and lower semi- continuity of the solution set map of parametric multivalued (strong) vector quasiequilib- rium ...the ... See full document

14

Unstable attractors in manifolds

Unstable attractors in manifolds

... Let ϕ : M × R −→ M be a continuous flow in a locally compact metric phase space M (in our case M will almost always be a topological manifold), and assume that K is an attractor for ϕ with basin of attraction A (K). Since ... See full document

27

Uniform attractors for the non autonomous suspension bridge equation with time delay

Uniform attractors for the non autonomous suspension bridge equation with time delay

... global attractors for the singled and coupled au- tonomous suspension bridge equations, ...the non-autonomous case, Ma et ...uniform attractors and pullback attractors. Existence of ... See full document

17

Liftings, young measures, and lower semicontinuity

Liftings, young measures, and lower semicontinuity

... Young measures associated to liftings, including representation and compactness theorems. Section 5 introduces tangent Young measures and their associated Jensen inequalities, which together suffice to implement an ... See full document

102

Two types of tracing properties in non-autonomous dynamical system

Two types of tracing properties in non-autonomous dynamical system

... to non-autonomous systems, and we show that if the system ( , ) X F has the asymptotic pseudo-orbit tracing property, then any system ( , ) Y G conjugated with ( , ) X F has the same ... See full document

7

Averaging of the 3D non-autonomous Benjamin-Bona-Mahony equation with singularly oscillating forces

Averaging of the 3D non-autonomous Benjamin-Bona-Mahony equation with singularly oscillating forces

... The BBM equation is a well-known model for long waves in shallow water which was in- troduced by Benjamin, Bona, and Mahony ([], ) as an improvement of the Korteweg- de Vries equation (KdV equation) for modeling ... See full document

14

On ω-limit sets of non-autonomous discrete dynamical system

On ω-limit sets of non-autonomous discrete dynamical system

... discrete dynamical system (autonomous discrete dynamical system) was introduced by Block and Coppel ...a non-autonomous discrete sys- ...for non-autonomous discrete ... See full document

8

Upper semicontinuity of attractors for small perturbations of Klein Gordon Schrödinger lattice system

Upper semicontinuity of attractors for small perturbations of Klein Gordon Schrödinger lattice system

... Klein-Gordon-Schödinger system under a small ε -random perturbation on a high dimensional infinite lattice. Firstly, we prove the asymptotic compactness of the random dynamical system and obtain the random ... See full document

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