Phase locking in chains of multiple-coupled oscillators

DOI10.1016/S0167-2789(00)00096-8zbMath0970.34027MaRDI QIDQ1587725

Liwei Ren, Bard Ermentrout

Publication date: 13 October 2001

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

phase lockingasymptotically stable equilibriummultiple-coupled oscillators

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Controlling phase multistability in coupled period-doubling oscillators ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. I ⋮ Twisted states in nonlocally coupled phase oscillators with bimodal frequency distribution ⋮ Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-di\-men\-sion\-al approach ⋮ A kind of structural frequency locking in generalized spatial automata ⋮ Phase compactons ⋮ Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling ⋮ Waves and patterns in ring lattices with delays ⋮ Phase multistability in a dynamical small world network ⋮ Traveling waves and compactons in phase oscillator lattices ⋮ Chimera states in heterogeneous networks ⋮ Selective properties of diffusive couplings and their influence on spatiotemporal chaos ⋮ Reversibility vs. synchronization in oscillator lattices

Cites Work

• Unnamed Item
• Synchronization in a pool of mutually coupled oscillators with random frequencies
• Synchronization of globally coupled phase oscillators: singularities and scaling for general couplings
• Multiple Coupling in Chains of Oscillators
• Phase Transitions and Other Phenomena in Chains of Coupled Oscillators
• Symmetry and phaselocking in chains of weakly coupled oscillators
• Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
• Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbor Coupled Oscillators

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