## Abstract

Synaptic depression is a common form of short-term plasticity in the central and peripheral nervous systems. We show that in a network of two reciprocally connected neurons a single depressing synapse can produce two distinct oscillatory regimes. These distinct periodic behaviors can be studied by varying the maximal conductance, ḡ_{inh}, of the depressing synapse. For small ḡ_{inh}, the network has a short-period solution controlled by intrinsic cellular properties. For large ḡ_{inh}, the solution has a much longer period and is controlled by properties of the synapse. We show that in an intermediate range of ḡ_{inh} values both stable periodic solutions exist simultaneously. Thus the network can switch oscillatory modes either by changing ḡ_{inh} or, for fixed ḡ_{inh}, by changing initial conditions.

Original language | English (US) |
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Pages (from-to) | 706-727 |

Number of pages | 22 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 62 |

Issue number | 2 |

DOIs | |

State | Published - 2001 |

## All Science Journal Classification (ASJC) codes

- Applied Mathematics

## Keywords

- Bistability
- Excitation
- Inhibition
- Neuromodulation
- Synaptic plasticity