Results 1 to 10 of about 46,943 (335)
The Origin of Non-chaotic Behavior in Identically Driven Systems
, 1995 Recently it has been found that different physical systems driven by identical random noise behave exactly identical after a long time. It is also suggested that this is an outcome of finite precision in numerical experiments.
Bracikowski +18 more
core +1 more source
Synchronization by noise for order-preserving random dynamical systems
, 2016 We provide sufficient conditions for weak synchronization by noise for order-preserving random dynamical systems on Polish spaces. That is, under these conditions we prove the existence of a weak point attractor consisting of a single random point.
Flandoli, Franco +2 more
core +1 more source
A Stochastic Weakly Damped, Forced KdV-BO Equation
Abstract and Applied Analysis, 2014 We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system.
Guolian Wang
doaj +1 more source
Noise-driven stem cell and progenitor population dynamics. [PDF]
PLoS ONE, 2008 The balance between maintenance of the stem cell state and terminal differentiation is influenced by the cellular environment. The switching between these states has long been understood as a transition between attractor states of a molecular network ...
Martin Hoffmann +5 more
doaj +1 more source
On random attractor of semilinear stochastically perturbed wave equation without uniqueness
Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï, 2013 In this paper we investigate the dynamics of solutions of the semilinear wave equation, perturbed by additive white noise, in sense of the random attractor theory. The conditions on the parameters of the problem do not guarantee uniqueness of solution of
G. Iovane +3 more
doaj
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 +1 more source
Entropy of complex relevant components of Boolean networks
, 2007 Boolean network models of strongly connected modules are capable of capturing the high regulatory complexity of many biological gene regulatory circuits.
A. Faure +6 more
core +1 more source
Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
Abstract and Applied Analysis, 2012 The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated ...
Anhui Gu
doaj +1 more source
Electronic Journal of Differential Equations, 2014 This work studies the long-time behavior of two-dimensional micropolar fluid flows perturbed by the generalized time derivative of the infinite dimensional Wiener processes.
Wenqiang Zhao
doaj
The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations
Boundary Value Problems, 2020 The stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations (KS-GL) perturbed by additive noises is investigated in this paper. By making careful analysis, we first consider the existence and uniqueness of the solution with initial-boundary
Lin Lin, Mei Li
doaj +1 more source