Global dynamics of the Josephson equation in \(TS^1\)

DOI10.1016/J.JDE.2020.03.048zbMath1447.37056OpenAlexW3016085107MaRDI QIDQ2184703

Yilei Tang, Hebai Chen

Publication date: 29 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.jde.2020.03.048

zbMATH Keywords

limit cyclehomoclinic loopsaddle connectiontwo-saddle loopJosephson equation

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (1)

Periodic wave solution of the generalized Burgers-Fisher equation via abelian integral

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of limit cycles for perturbed pendulum equations
• Highest weak focus order for trigonometric Liénard equations
• Center problem for trigonometric Liénard systems
• On the limit cycles of \(\ddot x+\mu\sin\dot x+x = 0\)
• For all real \(\mu\), \(\ddot x +\mu \sin\dot x+x = 0\) has an infinite number of limit cycles
• Dynamical analysis of a cubic Liénard system with global parameters
• Cubic Lienard equations with linear damping
• Limit Cycles in the Josephson Equation

This page was built for publication: Global dynamics of the Josephson equation in \(TS^1\)