Stability of periodic solutions in series arrays of Josephson junctions with internal capacitance

DOI10.1007/s003329900038zbMath0891.34039arXivadap-org/9611001OpenAlexW1990834196MaRDI QIDQ1381165

James W. Swift, Shinya Watanabe

Publication date: 2 August 1998

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/adap-org/9611001

zbMATH Keywords

bifurcationnonlinear oscillationsFloquet multiplierstability of periodic solutionsJosephson junction arraysJosephson junction oscillatorsbreakdown of global foliationmultiple time-scale analysisStewart-McCumber parameter

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Statistical mechanics of superconductors (82D55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Self-synchronization of coupled oscillators with hysteretic responses ⋮ An ODE model of the motion of pelagic fish ⋮ Kuramoto oscillators with inertia: A fast-slow dynamical systems approach ⋮ Complete synchronization of Kuramoto oscillators with finite inertia ⋮ Emergent behaviors of quantum Lohe oscillators with all-to-all coupling ⋮ Kuramoto Networks with Infinitely Many Stable Equilibria ⋮ Complete entrainment of Kuramoto oscillators with inertia on networks via gradient-like flow ⋮ A hydrodynamic model for synchronization phenomena ⋮ Remarks on the nonlinear stability of the Kuramoto model with inertia

Uses Software

• AUTO
• AUTO-86

Cites Work

• Unnamed Item
• Chemical oscillations, waves, and turbulence
• Globally coupled circle maps
• Averaging of globally coupled oscillators
• Unfolding the torus: Oscillator geometry from time delays
• Constants of motion for superconducting Josephson arrays
• The dynamics of \(n\) weakly coupled identical oscillators
• From collective oscillations to collective chaos in a globally coupled oscillator system
• Semirotors in the Josephson junction equations
• Dynamics of a globally coupled oscillator array

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