Splay states in globally coupled Josephson arrays: Analytical prediction of Floquet multipliers

Journal Article · Fri Jan 01 00:00:00 EST 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.47.220· OSTI ID:6433731

Strogatz, S H ^[1]; Mirollo, R E ^[2]

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1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02167 (United States)

In recent numerical experiments on series arrays of overdamped Josephson junctions, Nichols and Wiesenfeld [Phys. Rev. A 45, 8430 (1992)] discovered that the periodic states known as splay states are neutrally stable in all but four directions in phase space. We present a theory that accounts for this enormous degree of neutral stability. The theory also predicts the four non-neutral Floquet multipliers to within 0.1% of their numerically computed values. The analytical approach used here may be appli- cable to other globally coupled systems of oscillators, such as multimode lasers, electronic oscillator circuits, and solid-state laser arrays.

• OSTI ID: 6433731
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 47:1; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
JOSEPHSON JUNCTIONS
COLLECTIVE EXCITATIONS
FLOQUET FUNCTION
NONLINEAR PROBLEMS
STABILITY
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
JUNCTIONS
SUPERCONDUCTING JUNCTIONS
665412* - Superconducting Devices- (1992-)