Bifurcations of periodic solutions and chaos in Josephson system

DOI10.3934/DCDS.2001.7.573zbMath0993.34038OpenAlexW2021773575MaRDI QIDQ5936437

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Publication date: 11 September 2002

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

Full work available at URL: https://doi.org/10.3934/dcds.2001.7.573

zbMATH Keywords

equilibrium pointslimit cyclesbifurcationnonlinear oscillationsordinary differential equationsstable and unstable saddle manifolds

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Bifurcations in context of PDEs (35B32) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (8)

Heteroclinic orbits and chaotic regions for Josephson system ⋮ The almost-periodic solutions of the weakly coupled pendulum equations ⋮ Complex dynamics in Josephson system with two external forcing terms ⋮ COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT ⋮ Bifurcations of periodic orbits and chaos in damped and driven Morse oscillator ⋮ 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

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