Results 351 to 360 of about 5,060,729 (394)

Amplitude Control Analysis of a Four-Wing Chaotic Attractor, its Electronic Circuit Designs and Microcontroller-Based Random Number Generator

J. Circuits Syst. Comput., 2017
An exhaustive analysis of a four-wing chaotic system is presented in this paper. It is proved that the evolution range of some variables can be modulated easily by one coefficient of a cross product term.
Akif Akgul, Chunbiao Li, I. Pehlivan
semanticscholar   +1 more source

Stochastic Synchronization of Random Pullback Attractors

2020
In this and in the next chapter we deal with the synchronization of random dynamical systems (RDS). The concept of RDS (see Arnold [4] and the literature cited therein) covers the most important families of dynamical systems with randomness, including random and stochastic ordinary and partial differential equations and random difference equations ...
Björn Schmalfuß, Igor Chueshov
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Measure attractors and random attractors for stochastic partial differential equations

Stochastic Analysis and Applications, 1999
In the theory of stochastic differential equations we can distinguish between two kinds of attractors. The first one is the attractor (measure attractor) with respect to the Markov semigroup generated by a stochastic differential equation. The second meaning of attractors (random attractors) is to be understood with respect to each trajectory of the ...
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A uniformly exponential random forward attractor which is not a pullback attractor

Archiv der Mathematik, 2002
A compact random set is constructed which is invariant with respect to a random dynamical system, and which is an exponential forward attractor, but fails to be a pullback attractor.
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Multifractal properties of snapshot attractors of random maps

Physical Review A, 1990
We consider qualitative and quantitative properties of ``snapshot attractors'' of random maps. By a random map we mean that the parameters that occur in the map vary randomly from iteration to iteration according to some probability distribution. By a ``snapshot attractor'' we mean the measure resulting from many iterations of a cloud of initial ...
Celso Grebogi, Filipe J. Romeiras, Filipe J. Romeiras, Edward Ott   +3 more
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Edge-attractor random walks on dynamic networks

J. Complex Networks, 2016
We study the behaviour of continuous time random walks (RWs) moving over dynamic networks in the presence of mutual dependencies: the walker influences the network dynamics and the network influences the walker steps. The network dynamics we consider are
G. Iacobelli, Daniel R. Figueiredo
semanticscholar   +1 more source

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.
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Random attractors

Journal of Dynamics and Differential Equations, 1997
Crauel, Hans, Debussche, Arnaud, Flandoli, Franco   +2 more
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Boundary approximation of deterministic and random attractors

Nonlinearity, 2005
A result on the boundary of Ω-limit sets, ∂ΩB ⊆ Ω∂B, is shown and used to prove that boundaries of deterministic and random attractors are covered by Ω-limit sets of boundaries of compact sets. As a consequence, a simple algorithm is given to compute the boundary of attractors for a class of gradient systems with additive noise. Computations using this
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Semigroups, Attractors, and Products of Random Matrices [PDF]

, 1991
In this paper we define attractors in a natural manner and then use semigroup ideas to find a convenient formula for their determination. Recurrent random walks in matrices will appear in our discussions and be part of the total picture. We will use our formula to determine completely two interesting attractors.
openaire   +1 more source