The Infinitesimal Phase Response Curves of Oscillators in Piecewise Smooth Dynamical Systems
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چکیده
We derive a formula for the infinitesimal phase response curve (iPRC) of a limit cycle occurring in a piecewise smooth dynamical system satisfying a transverse flow condition. Discontinuous jumps in the iPRC can occur at the boundaries separating subdomains. When the subdomain dynamics are linear, we obtain an explicit expression for the iPRC. We present examples from cell biology (Glass networks) and neuroscience (central pattern generator models).
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تاریخ انتشار 2016