Stability of autoresonance models
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Publication:354519
DOI10.1134/S0012266113030014zbMath1278.34059MaRDI QIDQ354519
O. A. Sultanov, Leonid A. Kalyakin
Publication date: 19 July 2013
Published in: Differential Equations (Search for Journal in Brave)
nonlinear differential equationsLyapunov stabilityauto-resonanceinfinitely increasing amplitudeLyapunov second method
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20)
Related Items (14)
Lyapunov functions in justification theorems for asymptotics ⋮ Stability of the autoresonance in a dissipative system ⋮ Stability and Asymptotic Analysis of the Autoresonant Capture in Oscillating Systems with Combined Excitation ⋮ Stability of equilibrium with respect to white noise ⋮ Stability of capture into parametric autoresonance ⋮ Stochastic stability of a dynamical system perturbed by white noise ⋮ Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations ⋮ White noise perturbation of locally stable dynamical systems ⋮ Random perturbations of parametric autoresonance ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping ⋮ Capture into parametric autoresonance in the presence of noise ⋮ Lyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equations ⋮ Synchronization in a nonisochronous nonautonomous system ⋮ Stability and bifurcation phenomena in asymptotically Hamiltonian systems
Cites Work
- Existence of solutions entering at a singular point of an autonomous system having a formal solution
- Passage through a separatrix in a resonance problem with a slowly-varying parameter
- Asymptotic behavior of solutions of equations of main resonance
- Asymptotic expansions of solutions of the sixth Painlevé equation
- Asymptotic analysis of autoresonance models
- Asymptotic behaviour and expansions of solutions of an ordinary differential equation
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