Hopf bifurcation with additive noise

DOI10.1088/1361-6544/aad208zbMath1396.37062arXiv1710.09649OpenAlexW3101142711WikidataQ129351015 ScholiaQ129351015MaRDI QIDQ4583370

Jeroen S. W. Lamb, Thai Son Doan, Maximilian Engel, Martin Rasmussen

Publication date: 28 August 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09649

zbMATH Keywords

Hopf bifurcationrandom attractorLyapunov exponentrandom dynamical systemdichotomy spectrumstochastic bifurcation

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (15)

Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise ⋮ Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations ⋮ A general view on double limits in differential equations ⋮ On the pitchfork bifurcation for the Chafee-Infante equation with additive noise ⋮ Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems ⋮ Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise ⋮ Positive Lyapunov exponent in the Hopf normal form with additive noise ⋮ Bifurcation analysis of a stochastically driven limit cycle ⋮ Lagrangian Uncertainty Quantification and Information Inequalities for Stochastic Flows ⋮ DYNAMICAL PROPERTIES OF A STOCHASTIC PREDATOR-PREY MODEL WITH FUNCTIONAL RESPONSE ⋮ A random dynamical systems perspective on isochronicity for stochastic oscillations ⋮ A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations ⋮ Numerical Optimization Method for Determination of Bifurcation Points and its Application in Stability Analysis of Power System ⋮ Conditioned Lyapunov exponents for random dynamical systems ⋮ Bautin bifurcation with additive noise

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