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STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH NEGATIVE CENTRAL EXPONENTS
PARTIALLY HYPERBOLIC STABLE ERGODICITY
2015/9/29
We establish stable ergodicity of diffeomorphisms with
partially hyperbolic attractors whose Lyapunov exponents along
the central direction are all negative with respect to invariant SRBmeasur...
We develop a general technique for proving the existence of chaotic attractors
for three-dimensional vector fields with two time scales. Our results connect
two important areas of dynamical systems:...
Random Attractors for Stochastic Wave Equations with Critical Exponents on Rn
Stochastic Wave Equations Random Attractors
2015/4/3
Outline
• Stochastic wave equations on Rn.
• Random attractors theory.
• Random absorbing sets for wave equations.
• Pullback asymptotic compactness.
• Existence of ...
Bistable attractors in a model of convection-driven spherical dynamos
self-consistent MHD dynamos thermal convection oscillatory dynamos Fluid Dynamics
2012/4/20
The range of existence and the properties of two essentially different chaotic attractors found in a model of nonlinear convection-driven dynamos in rotating spherical shells are investigated. A hyste...
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors
partial hyperbolicity singular-hyperbolicity recurrence decay of correlations local dimension hitting times
2012/4/23
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue...
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
The Existence of Periodic Solution and Periodic Attractors
Non-autonomous Nonclassical Periodic Galerkin approximate
2011/10/19
This paper is concerned with the dynamical behavior of a class of nonclassical diffusion equations Firstly, the existence of periodic solutions is established by using the Galerkin approximate method ...
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Navier-Stokes equations nonlocal Cahn-Hilliard equations incompressible binary fluids global attractors
2011/9/23
Abstract: The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonlocal varia...
Dimension of attractors and invariant sets of damped wave equations in unbounded domains
damped wave equation invariant set attractor dimension
2011/9/5
Abstract: Under fairly general assumptions, we prove that every compact invariant set $\mathcal I$ of the semiflow generated by the semilinear damped wave equation u_{tt}+\alpha u_t+\beta(x)u-\Deltau ...
Pullback attractors for a singularly nonautonomous plate equation
pullback attractors nonautonomous plate equation upper-semicontinuity
2011/2/24
We consider the family of singularly nonautonomous plate equation with structural damping
utt + a(t, x)ut + (−)ut + (−)2u + u = f(u),in a bounded domain ⊂ Rn, with Navier bounda...
Global attractors for the one dimensional wave equation with displacement dependent damping
Attractors wave equations
2011/2/24
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly
positive near the o...
Intersecting Black Attractors in 8D N=1 Supergravity
Intersecting Black Attractors 8D N=1 Supergravity
2010/12/23
We study intersecting extremal black attractors in non chiral 8D N=1 supergravity with moduli space ((SO(2,N))/(SO(2)\times SO(N)))\times SO(1,1) and work out explicitly the attractor mechanism for va...
On Black Attractors in 8D and Heterotic/Type IIA Duality
Black Attractors 8D Heterotic/Type IIA Duality
2010/12/24
Motivated by the study of black attractors in 8D supergravity with 16 supersymmetries, we use the field theory approach and 8D supersymmetry with non trivial central charges to shed light on the exact...
Concurrence is an entanglement measure characterizing the {\it mixed} state bipartite correlations inside of a pure state of an $n$-qubit system. We show that after organizing the charges and the mod...
A characterization of compact operators via the non-connectedness of the attractors of a family of IFSs
compact operators the non-connectedness family of IFSs
2010/11/8
In this paper we present a result which establishes a connection between the theory of compact operators and the theory of iterated function systems. For a Banach space X, S and T bounded linear oper...