Entrainment ranges for chains of forced neural and phase oscillators

DOI10.1186/s13408-016-0038-9zbMath1360.92029OpenAlexW2338018642WikidataQ40304841 ScholiaQ40304841MaRDI QIDQ502298

Tim Kiemel, Nicole Massarelli, Kathleen A. Hoffman, Geoffrey D. Clapp

Publication date: 4 January 2017

Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13408-016-0038-9

zbMATH Keywords

central pattern generatorlocomotionentrainment range

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (5)

The role of phase shifts of sensory inputs in walking revealed by means of phase reduction ⋮ Intra- and intersegmental neural network architectures determining rhythmic motor activity in insect locomotion ⋮ Periodic Solutions in Threshold-Linear Networks and Their Entrainment ⋮ Modeling and analysis of a new locomotion control neural networks ⋮ Understanding Locomotor Rhythm in the Lamprey Central Pattern Generator

Cites Work

• Entrainment ranges of forced phase oscillators
• Chemical oscillations, waves, and turbulence
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Coupled oscillators and the design of central pattern generators
• The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model
• A combined neuronal and mechanical model of fish swimming
• Weakly connected neural networks
• Large Populations of Coupled Chemical Oscillators
• The Method of Near-Identity Transformations and Its Applications
• On Chains of Oscillators Forced at One End
• Introduction to Numerical Continuation Methods
• Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms

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