Results 21 to 30 of about 262,466 (282)

Dimensional reduction of nonlinear time delay systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite ...
M. S. Fofana
doaj   +1 more source

Fractional partial random differential equations with infinite delay

open access: yesResults in Physics, 2022
The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure ...
Amel Heris   +3 more
doaj   +1 more source

Optimal Control for Neutral Stochastic Integrodifferential Equations with Infinite Delay Driven by Poisson Jumps and Rosenblatt Process

open access: yesFractal and Fractional, 2023
In this paper, we investigate the optimal control problems for a class of neutral stochastic integrodifferential equations (NSIDEs) with infinite delay driven by Poisson jumps and the Rosenblat process in Hilbert space involving concrete-fading memory ...
Dimplekumar Chalishajar   +2 more
doaj   +1 more source

Controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps

open access: yesCogent Engineering, 2015
The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
doaj   +1 more source

Stochastic Lotka–Volterra system with infinite delay

open access: yesJournal of Computational and Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Yong, Wu, Fuke, Tan, Yimin
openaire   +2 more sources

Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide [PDF]

open access: yes, 2018
We investigate the open dynamics of a qubit due to scattering of a single photon in an infinite or semi-infinite waveguide. Through an exact solution of the time-dependent multi-photon scattering problem, we find the qubit's dynamical map.
Baranger, Harold U.   +2 more
core   +2 more sources

Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition [PDF]

open access: yes, 2014
We apply the time-delayed Pyragas control scheme to the dissipative Dicke model via a modulation of the atom-field-coupling. The feedback creates an infinite sequence of non-equilibrium phases with fixed points and limit cycles in the primary ...
Brandes, Tobias   +3 more
core   +3 more sources

Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations. [PDF]

open access: yesPLoS ONE, 2011
Time delay is known to induce sustained oscillations in many biological systems such as electroencephalogram (EEG) activities and gene regulations. Furthermore, interactions among delay-induced oscillations can generate complex collective rhythms, which ...
Ikuhiro Yamaguchi   +4 more
doaj   +1 more source

Linearization for Difference Equations with Infinite Delay

open access: yes, 2023
In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.
openaire   +3 more sources

Infinite horizon optimal control of forward-backward stochastic differential equations with delay [PDF]

open access: yes, 2013
We consider a problem of optimal control of an infinite horizon system governed by forward-backward stochastic differential equations with delay. Sufficient and necessary maximum principles for optimal control under partial information in infinite ...
Agram, Nacira, Øksendal, Bernt
core   +2 more sources

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