Reduced dynamics for delayed systems with harmonic or stochastic forcing
نویسندگان
چکیده
منابع مشابه
Stochastic functional population dynamics with jumps
In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...
متن کاملA stochastic boundary forcing for dissipative particle dynamics
The method of dissipative particle dynamics (DPD) is an effective, coarse grained model of the hydrodynamics of complex fluids. DPD simulations of wall-bounded flows are however often associated with spurious fluctuations of the fluid properties near the wall. We present a novel stochastic boundary forcing for DPD simulations of wall-bounded flows, based on the identification of fluctuations in...
متن کاملStochastic forcing , ensemble prediction systems , and TIGGE
Many operational NWP centres now produce global medium-range (≤ 14 day) and higher-resolution, limited-area, shorter-range (≤ 3 day) ensemble forecasts. These provide probabilistic guidance and early warning of the likelihood of high-impact weather. There are two main challenges in the design of ensemble prediction systems: (1) properly simulating the initial condition uncertainty, including th...
متن کاملResonant Codimension Two Bifurcation in the Harmonic Oscillator with Delayed Forcing
We study a delay diierential equation modelling the harmonic oscillator with forcing which depends on the state and the derivative of the state at some time in the past. We perform a linearized stability analysis of the equation and describe the location of Hopf and steady state bifurcations in the parameter space. A complete description of the location of points in parameter space where the ch...
متن کاملCoherence depression in stochastic excitable systems with two-frequency forcing.
We study the response of two generic neuron models, the leaky integrate-and-fire (LIF) model and the leaky integrate-and-fire model with dynamic threshold (LIFDT) (i.e., with memory) to a stimulus consisting of two sinusoidal drives with incommensurate frequency, an amplitude modulation ("envelope") noise and a relatively weak additive noise. Spectral and coherence analysis of responses to such...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2012
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.4760250