Stabilization of two cycles of difference equations with stochastic perturbations

DOI10.1080/10236198.2012.726989zbMath1295.39014OpenAlexW2092516981MaRDI QIDQ2846799

Elena Braverman, Aleksandra Rodkina

Publication date: 3 September 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.726989

zbMATH Keywords

chaosbifurcationpopulation dynamicsstochastic perturbationstochastic difference equationsa.s. asymptotic stability

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28) Stochastic difference equations (39A50)

Related Items

Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean ⋮ Stochastic difference equations with the Allee effect ⋮ Stochastic control stabilizing unstable or chaotic maps ⋮ Stabilization of difference equations with noisy proportional feedback control ⋮ Mean-square analysis of stochastic cycles in nonlinear discrete-time systems with parametric noise ⋮ On convergence of solutions to difference equations with additive perturbations ⋮ Global stabilization and destabilization by the state dependent noise with particular distributions

Cites Work

• Unnamed Item
• On stabilization of equilibria using predictive control with and without pulses
• On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise
• Global stabilization of periodic orbits using a proportional feedback control with pulses
• Dynamic behaviors of the Ricker population model under a set of randomized perturbations
• On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations
• Stable Orbits and Bifurcation of Maps of the Interval
• Unusual dynamics of extinction in a simple ecological model.
• Chaotic and stable perturbed maps: 2-cycles and spatial models
• Almost sure convergence of solutions to non-homogeneous stochastic difference equation
• Chaos and population disappearances in simple ecological models