Stable periodic solutions in the forced pendulum equation
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Publication:2449288
DOI10.1134/S1560354713060026zbMath1303.34031MaRDI QIDQ2449288
Publication date: 7 May 2014
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)
Related Items (5)
Prevalence of stable periodic solutions for Duffing equations ⋮ Stable and unstable periodic solutions of the forced pendulum of variable length ⋮ Prevalence of stable periodic solutions in the forced relativistic pendulum equation ⋮ Subharmonic solutions of the forced pendulum equation: a symplectic approach ⋮ Stability of periodic orbits by Conley-Zehnder index theory
Cites Work
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- Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities
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- Lipschitz image of a measure-null set can have a null complement
- The method of lower and upper solutions and the stability of periodic oscillations
- Stability of elliptic periodic points with an application to Lagrangian equilibrium solutions
- Twist character of the fourth order resonant periodic solution
- Periodic Orbits and Solenoids in Generic Hamiltonian Dynamical Systems
- The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
- Twist Character of the Least Amplitude Periodic Solution of the Forced Pendulum
- Stability of elliptic fixed points of analytic area-preserving mappings under the Bruno condition
- Prevalence of Non-degenerate Periodic Solutions in the Forced Pendulum Equation
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