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most citedPhase Resetting in an Asymptotically Phaseless System: On the Phase Response of Limit Cycles Verging on a Heteroclinic Orbit

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math.DS2016

Weakly Coupled Oscillators in a Slowly Varying World

Youngmin Park, Bard Ermentrout

We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximati…

math.DS2011★ 1 cited

Phase Resetting in an Asymptotically Phaseless System: On the Phase Response of Limit Cycles Verging on a Heteroclinic Orbit

Kendrick M. Shaw, Hillel J. Chiel, Peter J. Thomas

Rhythmic behaviors in neural systems often combine features of limit cycle dynamics (stability and periodicity) with features of near heteroclinic or near homoclinic cycle dynamics…