Note to the asymptotic behaviour of solutions of damped pendulum equations under forcing

DOI10.1016/0362-546X(92)90166-CzbMath0763.34038OpenAlexW2017086170MaRDI QIDQ4030852

Jan Andres

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90166-c

zbMATH Keywords

stabilitynonlinear oscillationsboundedness of solutionspendulum equation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• The asymptotic behavior of solutions of pendulum-type equations
• Horseshoe motions and subharmonics of the equations of J-J type with small parameters
• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Exponential dichotomies and transversal homoclinic points
• Perturbation theorems for ordinary differential equations
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
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