Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency- locking in animal locomotion

DOI10.1007/BF00176458zbMath0757.92011WikidataQ52433233 ScholiaQ52433233MaRDI QIDQ1202553

J. J. Collins, I. N. Stewart

Publication date: 25 February 1993

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

animal locomotionfrequency-locked oscillationsfrequency-locking of limb movementsnetworks of neuronsquadrupedal locomotor central pattern generatorsymmetrically coupled nonlinear oscillatorssymmetry-breaking Hopf bifurcation

Mathematics Subject Classification ID

Neural biology (92C20) Physiology (general) (92C30)

Related Items (11)

A group-theoretic approach to rings of coupled biological oscillators ⋮ Hard-wired central pattern generators for quadrupedal locomotion ⋮ Symmetry-breaking in a rate model for a biped locomotion central pattern generator ⋮ Oscillator death in coupled biochemical oscillators ⋮ Linking dynamics of the inhibitory network to the input structure ⋮ A modular network for legged locomotion. ⋮ Interior symmetry and local bifurcation in coupled cell networks ⋮ Multimodal pressure-flow analysis: application of Hilbert-Huang transform in cerebral blood flow regulation ⋮ Hexapodal gaits and coupled nonlinear oscillator models ⋮ Spontaneous Symmetry-Breaking in a Network Model for Quadruped Locomotion ⋮ Coupled nonlinear oscillators and the symmetries of animal gaits

This page was built for publication: Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency- locking in animal locomotion