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The improved split-step backward Euler method for stochastic differential delay equations
split-step backward Euler method strong convergence one-sided Lipschitz condition exponential mean-square stability
2011/8/24
Abstract: A new, improved split-step backward Euler (SSBE) method is introduced and analyzed for stochastic differential delay equations(SDDEs) with generic variable delay. The method is proved to be ...
Nonparametric model reconstruction for stochastic differential equation from discretely observed time-series data
Nonparametric model reconstruction stochastic differential equation discretely observed time-series data
2011/8/2
Abstract: We develop a scheme for estimating state-dependent drift and diffusion coefficients in a stochastic differential equation from a time-series data. There is no need to have any prior knowledg...
Existence and Uniqueness of the Positive Solution to a Predator-prey Model with Stochastic Perturbation
Itos formula Brownian motion existence and uniqueness
2012/9/24
In this paper, a predator-prey model is estab lished with the modified Holling-type II schemes with stochastic perturbation. We mainly use Lyapun ov function and comparison theorem to show that there ...
Stochastic analysis of a miRNA-protein toggle switch
Toggle switch, chemical master equation, stochastic versus deterministic, biochemical reactions
2011/9/5
Within systems biology there is an increasing interest in the stochastic behavior of genetic and biochemical reaction networks. An appropriate stochastic description is provided by the chemical master...
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Euler-Lagrange equation phase response curve limit-cycle oscillators Poisson noise
2011/7/6
We consider optimization of phase response curves for stochastic synchronization of non-
interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional
shape for suf...
Infinite-Period Phase Transition versus Nucleation in a Stochastic Model of Collective Oscillations
Infinite-Period Phase Transition versus Nucleation Stochastic Model Collective Oscillations
2011/7/7
A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al. [Phys. Rev. Lett. 96, 145701 (2006)] to exhibit a phase transition at a critical value of the coupling...
Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics
Pseudo resonance quasi-periodic behavior stochastic threshold dynamics
2011/7/5
Here we present a simple stochastic threshold model consisting of a deterministic slowly
decaying term and a fast stochastic noise term. The process shows a pseudo-resonance,
in the sense that for s...
Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics
Pseudo resonance quasi-periodic behavior stochastic threshold dynamics
2011/7/27
Abstract: Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense th...
Stochastic sigma-convergence and applications
Dynamical system homogenization supralgebras Stokes equations
2011/7/27
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...
Stability of Impulsive Stochastic Partial Delay Differential Equations with Markovian Jumps
impulse mild solution asymptotical stability Markovian jumps
2012/9/26
Based on the fixed point theory, the asymp totical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, s...
Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality
Ising model Mixing time Phase coexistence Glauber dynamics
2011/1/18
We considerably improve upon the recent result of [34] on the mixing time of Glauber dynamics for the 2d Ising model in a box of side L at low temperature and with random boundary conditions whose dis...
This work faces the problem of the origin of the logarithmic character of the Gompertzian growth. We show that the macroscopic, deterministic Gompertz equation describes the evolution from the initial...
Stochastic Control of Event-Driven Feedback in Multi-Antenna Interference Channels
Stochastic Control of Event-Driven Feedback Multi-Antenna Interference Channels
2011/2/22
Spatial interference avoidance is a simple and effective way of mitigating interference in multi-antenna wireless networks.
Optimal protocols and optimal transport in stochastic thermodynamics
Optimal protocols optimal transport stochastic thermodynamics
2011/3/2
Thermodynamics of small systems has become an important field of statistical physics. They
are driven out of equilibrium by a control, and the question is naturally posed how such a control can be op...
Stochastic poisson equations associated to lie algebroids and some refinements of a principal bundle
stochastic Poisson equations;Lie algebroid;refinement of a principal bundle
2011/2/21
The aim of this paper is to present the stochastic Poisson equations as-sociated to Lie algebroids. The obtained results are used for determination of stochastic Poisson equations associated to a refi...