Periodic solutions for systems of forced coupled pendulum-like equations

DOI10.1016/0022-0396(87)90158-6zbMath0652.34049OpenAlexW2075622037MaRDI QIDQ1107000

Pavel Drábek, Sergio Invernizzi

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90158-6

zbMATH Keywords

external time dependent disturbancesforced coupled pendulumJosephson function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Boundary value problems for ordinary differential equations (34B99)

Related Items (10)

On forced oscillations in groups of interacting nonlinear systems ⋮ Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance ⋮ Nonlinear ordinary boundary value problems under a combined effect of periodic and attractive nonlinearities ⋮ An abstract existence theorem at resonance and its applications ⋮ Unnamed Item ⋮ Semilinear equations at resonance with the kernel of arbitrary dimension ⋮ Branches of index-preserving solutions to systems of second order ODEs ⋮ Asymptotic analysis of oscillating parametric integrals and ordinary boundary value problems at resonance ⋮ Periodic perturbations of a class of resonant problems ⋮ Periodic solutions for differential equations at resonance with unbounded nonlinearities

Cites Work

• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• On the use of asymptotics in nonlinear boundary value problems
• Periodic solutions of pendulum-type equations
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• On periodic solutions of forced pendulum-like equations
• Periodic motions of coupled simple pendulums with periodic disturbances
• Une généralisation de théorèmes de J. A. Marlin
• On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit
• Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
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