Sensitivity and chaos control for the forced nonlinear oscillations
From MaRDI portal
Publication:2484776
DOI10.1016/j.chaos.2005.03.029zbMath1122.37028OpenAlexW1964949289MaRDI QIDQ2484776
L. B. Ryashko, Irina Bashkirtseva
Publication date: 1 August 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2005.03.029
Sensitivity (robustness) (93B35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items
Noise-induced early afterdepolarizations in a three-dimensional cardiac action potential model ⋮ Confidence Domains in the Analysis of Noise-Induced Transition to Chaos for Goodwin Model of Business Cycles ⋮ Stochastic Bifurcations and Noise-Induced Chaos in a Dynamic Prey–Predator Plankton System ⋮ Spurious structures in chaos indicators maps ⋮ Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback ⋮ Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints ⋮ EXCITABILITY AND COMPLEX MIXED-MODE OSCILLATIONS IN STOCHASTIC BUSINESS CYCLE MODEL ⋮ On growth cycles in a stochastic post-Keynesian model ⋮ Stabilizing stochastically-forced oscillation generators with hard excitement: a confidence-domain control approach ⋮ Stationary and periodic regimes in relaxing media with fluctuations ⋮ Stochastic sensitivity analysis of the variability of dynamics and transition to chaos in the business cycles model ⋮ Stabilization of stochastic cycles and chaos suppression for nonlinear discrete-time systems ⋮ Stochastic equilibria control and chaos suppression for 3D systems via stochastic sensitivity synthesis ⋮ Limit cycle for the Brusselator by He's variational method ⋮ Analysis of dynamic regimes in stochastically forced Kaldor model ⋮ On stochastic sensitivity control in discrete systems ⋮ ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM ⋮ Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances ⋮ Numerical Solution of the Controlled Rayleigh Nonlinear Oscillator by the Direct Spectral Method ⋮ Numerical Solution of the Controlled Rayleigh Nonlinear Oscillator by the Direct Spectral Method ⋮ Confidence tori in the analysis of stochastic 3D-cycles ⋮ Noise-induced oscillations in the flow of concentrated suspensions ⋮ On embedded bifurcation structure in some discretized vector fields ⋮ Attainability analysis in the stochastic sensitivity control ⋮ Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic sensitivity of 3D-cycles
- Effect of noise and perturbations on limit cycle systems
- Deterministic noise amplifiers
- Asymptotic analysis of first-passage problems
- Chaos control. Theory and applications
- Chaos control of Chen chaotic dynamical system.
- Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
- Nonlinear feedback-controlled generalized synchronization of spatial chaos
- A new feedback control of a modified Chua's circuit system
- On the theory of optimal control. Sufficient coordinates
- A Direct Approach to the Exit Problem
- ON FEEDBACK CONTROL OF CHAOTIC NONLINEAR DYNAMIC SYSTEMS
- Controlling chaos
- On the local stability of limit cycles
- OPTIMAL FLUCTUATIONS AND THE CONTROL OF CHAOS