Results 21 to 30 of about 7,477,558 (327)
Analysis of attractor distances in random boolean networks
, 2011 We study the properties of the distance between attractors in RandomBoolean Networks, a prominent model of genetic regulatory networks. We definethree distance measures, upon which attractor distance matrices are constructed andtheir main statistic ...
R. Serra +7 more
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One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation [PDF]
, 2010 This paper is devoted to the study of the asymptotic dynamics of the stochastic damped sine-Gordon equation with homogeneous Neumann boundary condition. It is shown that for any positive damping and diffusion coefficients, the equation possesses a random
Zhongwei Shen +2 more
semanticscholar +3 more sources
Design and Analysis of a Quadratic Lorenz-like Attractor for Pseudo-Random Number Generation
Cumhuriyet Science JournalThis study introduces and analyzes a novel quadratic Lorenz-like attractor and demonstrates its application as a pseudo-random number generator (PRNG). A theoretical and numerical investigation of the system dynamics is conducted, including equilibrium ...
Bugce Eminaga Tatlicioglu +1 more
doaj +2 more sources
Analogues of Khintchine’s theorem for random attractors [PDF]
Transactions of the American Mathematical Society, 2021 In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine approximation to hold almost surely for stochastically self-similar and self-affine random iterated function systems.
Troscheit, Sascha, Baker, Simon
openaire +3 more sources
Minimal random attractors [PDF]
Journal of Differential Equations, 2018 19 ...
Crauel, Hans, Scheutzow, Michael
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Noise-stabilized random attractor [PDF]
Physical Review E, 2006 A two dimensional flow model is introduced with deterministic behavior consisting of bursts which become successively larger, with longer interburst time intervals between them. The system is symmetric in one variable x and there are bursts on either side of x = 0, separated by the presence of an invariant manifold at x = 0.
Finn, J. M. +3 more
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Finite-Dimensionality of Tempered Random Uniform Attractors [PDF]
Journal of Nonlinear Science, 2021 AbstractFinite-dimensional attractors play an important role in finite-dimensional reduction of PDEs in mathematical modelization and numerical simulations. For non-autonomous random dynamical systems, Cui and Langa (J Differ Equ, 263:1225–1268, 2017) developed a random uniform attractor as a minimal compact random set which provides a certain ...
Hongyong Cui +2 more
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Optimal fluctuations and the control of chaos. [PDF]
, 2002 The energy-optimal migration of a chaotic oscillator from one attractor to another coexisting attractor is investigated via an analogy between the Hamiltonian theory of fluctuations and Hamiltonian formulation of the control problem.
Luchinsky, D. G. +4 more
core +4 more sources
Evolution Equations and Control Theory, 2020 A pullback random attractor is called forward controllable if its time-component is semi-continuous to a compact set in the future, and the minimum among all such compact limit-sets is called a forward controller.
Shuang Yang, Yang-Rong Li
semanticscholar +1 more source