Prevalence of stable periodic solutions in the forced relativistic pendulum equation

DOI10.3934/DCDSB.2018177zbMath1409.34040OpenAlexW2806034563WikidataQ129606856 ScholiaQ129606856MaRDI QIDQ1756898

Feng Wang, Jifeng Chu, Zaitao Liang

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018177

zbMATH Keywords

prevalenceplanar systemstable periodic solutionsforced relativistic pendulum equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Experimental study of the nonlinear saturation of the elliptical instability: inertial wave turbulence versus geostrophic turbulence

Cites Work

• Unnamed Item
• Unnamed Item
• Prevalence of stable periodic solutions for Duffing equations
• Existence and stability of periodic solutions for relativistic singular equations
• Periodic solutions of pendulum-like perturbations of singular and bounded \({\varphi}\)-Laplacians
• Periodic solutions of the forced relativistic pendulum
• Periodic oscillations of the relativistic pendulum with friction
• Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian
• The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator
• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• On the existence and stability of periodic solutions for pendulum-like equations with friction and \(\phi \)-Laplacian
• A forced pendulum equation without stable periodic solutions of a fixed period
• Stability of elliptic periodic points with an application to Lagrangian equilibrium solutions
• Periodic solutions of a forced relativistic pendulum via twist dynamics
• Stable periodic solutions in the forced pendulum equation
• Existence of at least two periodic solutions of the forced relativistic pendulum
• Optimal bounds for bifurcation values of a superlinear periodic problem
• Prevalence of Non-degenerate Periodic Solutions in the Forced Pendulum Equation
• Multiple periodic solutions for perturbed relativistic pendulum systems
• Prevalence

This page was built for publication: Prevalence of stable periodic solutions in the forced relativistic pendulum equation