Results 231 to 240 of about 8,005 (266)

A uniformly exponential random forward attractor which is not a pullback attractor

Archiv Der Mathematik, 2002
The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
exaly   +3 more sources

Random attractors

Journal of Dynamics and Differential Equations, 1997
Every scientist interested in the behavior of dynamical systems knows that this is one of the most important subjects of mathematical physics. It is also well-known that good results can be obtained by studying the global attractor of such a deterministic dynamical system.
CRAUEL H, DEBUSSCHE, FLANDOLI, FRANCO
openaire   +4 more sources

Nonautonomous and Random Attractors

Jahresbericht der Deutschen Mathematiker-Vereinigung, 2015
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Crauel, Hans, Kloeden, Peter E.
openaire   +1 more source

Random Point Attractors Versus Random Set Attractors

Journal of the London Mathematical Society, 2001
Summary: The notion of an attractor for a random dynamical system with respect to a general collection of deterministic sets is introduced. This comprises, in particular, global point attractors and global set attractors. After deriving a necessary and sufficient condition for existence of the corresponding attractors it is proved that a global set ...
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Attractors for random dynamical systems

Probability Theory and Related Fields, 1994
Random dynamical systems are treated, the notions of an omega limit set, a random invariant set, an absorbing set and a global attractor are introduced. Conditions are given under which a global attractor (being a compact random invariant set) exists, and some of its properties are established.
FLANDOLI FRANCO, Hans Crauel
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Random attractors for initial memory codes

Proceedings of International Conference on Neural Networks (ICNN'97), 2002
The problem of how the temporal relations among events are converted to the spatial structure in neural connections are considered. Random coding is one hypothesis to this problem, in which items to be stored are associated with randomly chosen network attractors, independent of spatial relationships between the items.
openaire   +1 more source

Random Perturbations of Heteroclinic Attractors

SIAM Journal on Applied Mathematics, 1990
Estimates are derived for the mean recurrence time of orbits in the neighborhood of an attracting homoclinic orbit or heteroclinic cycle in an ordinary differential equation, subject to small additive random noise. The theory presented is illustrated with numerical simulations of several systems, including ones invariant under symmetry groups, for ...
Emily Stone, Philip Holmes
openaire   +1 more source

Random attractors of stochastic non-newtonian fluids

Acta Mathematicae Applicatae Sinica, English Series, 2011
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Guo, Chun-xiao, Guo, Bo-ling, Han, Yong-qian   +2 more
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Random attractors of boussinesq equations with multiplicative noise

Acta Mathematica Sinica, English Series, 2009
Consider Stratonovich-interpreted two-dimensional Boussinesq equation perturbed by multiplicative white noise \[ dv + [(v \cdot \nabla) v - \nu \Delta v + \nabla p] dt = e_2(T-T_1) dt + bv \circ dW(t) \] \[ dT+[(v \cdot \nabla)T-\kappa \Delta T)] dt = 0 \] \[ \mathrm{div}(v) = 0 \] on the domain \(D = (0,1)^2\), where \(e_i\) are the unit vectors of \(\
Li, Yangrong, Guo, Boling
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Numerical Approximation of Random Attractors

2007
In this article an algorithm for the numerical approximation of random attractors based on the subdivision algorithm of Dellnitz and Hohmann is presented. It is applied to the stochastic Duffing-van der Pol oscillator, for which we also prove a theoretical result on the existence of stable/unstable manifolds and attractors. This system serves as a main
Hannes Keller, Gunter Ochs
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