Liapunov exponents and mode-locked solutions for integrate-and-fire dynamical systems

We discuss the notion of Liapunov exponent for integrate-and-fire (IF) type dynamical systems. In contrast to smooth flows there is a contribution to the IF Liapunov exponent arising from the discontinuous nature of the firing mechanism. Introducing the notion of an IF mode-locked state we are able...

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Bibliographic Details
Main Author: S. Coombes
Format: Default Preprint
Published: 1999
Subjects:
Other mathematical sciences not elsewhere classified
integrate-and-fire
Liapunov exponent
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Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/810
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