BIFURCATIONS OF PERIODIC ORBITS IN A JOSEPHSON EQUATION WITH A PHASE SHIFT

DOI10.1142/S0218127402005261zbMath1047.34041OpenAlexW1974760971MaRDI QIDQ4736248

Hongjun Cao, Zhu-jun Jing

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402005261

zbMATH Keywords

periodic orbitsphase shiftBifurcationJosephson equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Statistical mechanics of superconductors (82D55) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (10)

On the number of limit cycles of a pendulum-like equation with two switching lines ⋮ COMPLEX DYNAMICS IN PENDULUM EQUATION WITH PARAMETRIC AND EXTERNAL EXCITATIONS I ⋮ Heteroclinic orbits and chaotic regions for Josephson system ⋮ The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations ⋮ Bifurcations of periodic orbits in three-well Duffing system with a phase shift ⋮ Complex dynamics in Josephson system with two external forcing terms ⋮ COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT ⋮ Complex dynamics in physical pendulum equation with suspension axis vibrations ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance ⋮ Bifurcations of periodic solutions and chaos in Josephson system with parametric excitation

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• SECOND-ORDER AVERAGING AND MELNIKOV ANALYSES FOR FORCED NON-LINEAR OSCILLATORS
• Josephson-junction circuit analysis via integral manifolds-Part II
• Possible new effects in superconductive tunnelling
• Limit Cycles in the Josephson Equation
• Melnikov’s Method at a Saddle-Node and the Dynamics of the Forced Josephson Junction
• Second order averaging and bifurcations to subharmonics in duffing's equation

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