Dynamics of three coupled limit cycle oscillators with application to artificial intelligence

DOI10.1016/J.CNSNS.2007.08.009zbMath1221.34099OpenAlexW2089802397MaRDI QIDQ718827

L. Mendelowitz, Richard H. Rand, Anael Verdugo

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.08.009

zbMATH Keywords

coupled oscillatorsassociative memoryMEMS oscillatorsphase-locked motion

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (9)

Stability switches and multistability coexistence in a delay-coupled neural oscillators system ⋮ Existence and uniqueness of the exponentially stable limit cycle for a class of nonlinear systems via time-domain approach with differential inequality ⋮ Nonlinear dynamics of a periodically driven Duffing resonator coupled to a van der Pol oscillator ⋮ Multiple Hopf bifurcations of three coupled van der Pol oscillators with delay ⋮ Dynamics of a ring of three coupled relaxation oscillators ⋮ Dynamics of a ring network of phase-only oscillators ⋮ \(D_{3}\)-equivariant coupled advertising oscillators model ⋮ A preliminary study into emergent behaviours in a lattice of interacting nonlinear resonators and oscillators ⋮ Synchronization in a network of coupled MEMS-colpitts oscillators

Cites Work

• Chemical oscillations, waves, and turbulence
• Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
• The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model
• Dynamics of four coupled phase-only oscillators
• Three identical oscillators with symmetric coupling
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