Effects of conduction delays on the existence and stability of one to one phase locking between two pulse-coupled oscillators.

ABSTRACT: Gamma oscillations can synchronize with near zero phase lag over multiple cortical regions and between hemispheres, and between two distal sites in hippocampal slices. How synchronization can take place over long distances in a stable manner is considered an open question. The phase resetting curve (PRC) keeps track of how much an input advances or delays the next spike, depending upon where in the cycle it is received. We use PRCs under the assumption of pulsatile coupling to derive existence and stability criteria for 1:1 phase-locking that arises via bidirectional pulse coupling of two limit cycle oscillators with a conduction delay of any duration for any 1:1 firing pattern. The coupling can be strong as long as the effect of one input dissipates before the next input is received. We s

SUBMITTER: Woodman MM 

PROVIDER: S-EPMC3130804 | biostudies-literature | 2011 Oct

REPOSITORIES: biostudies-literature