On the periodic solutions of the relativistic driven harmonic oscillator

DOI10.1063/1.5129377zbMath1458.34076OpenAlexW2999855341MaRDI QIDQ5218807

Jaume Llibre, Amar Makhlouf

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221293

zbMATH Keywords

periodic solutionaveraging methodrelativistic harmonic oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Existence of running solutions in a relativistic Tricomi's equation using perturbation theory

Cites Work

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• Limit cycles for a class of second order differential equations
• Periodic solutions of the forced relativistic pendulum
• The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator
• Twist periodic solutions in the relativistic driven harmonic oscillator
• Periodic orbits and their stability in the Rössler prototype-4 system
• Periodic solutions of a forced relativistic pendulum via twist dynamics
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Existence of at least two periodic solutions of the forced relativistic pendulum

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