Phase lag map for burst polyrhythms in 3-cell CPG

Patterns and Simulations

By Andrey Shilnikov
A multimedia supplement to a paper "Order parameter for bursting polyrhythms in multifunctional central pattern generators" by Jeremy Wojcik, Robert Clewley, and Andrey Shilnikov in Phys. Rev. E 83, 056209 (2011) We examine multistability of several coexisting bursting patterns in a central pattern generator network composed of three Hodgkin-Huxley type cells coupled reciprocally by inhibitory synapses. We establish that the control of switching between bursting polyrhythms and their bifurcations are determined by the temporal characteristics, such as the duty cycle, of networked interneurons and the coupling strength asymmetry. A computationally effective approach to the reduction of dynamics of the nine-dimensional network to two-dimensional Poincaré return mappings for phase lags between the interneurons is presented.

Author Institutional AffiliationGeorgia State
Author Email
Author Postal Mail 100 Piedmont Av, Atlanta GA 30303
Keywordsmunti-functional CPG, bursting, polyrhythms

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