Interaction dynamics in small networks of nonlinear elements

Michael Stich, Manuel G. Velarde

Research output: Contribution to journalArticlepeer-review


We study a small circuit of coupled nonlinear elements to investigate general features of signal transmission through networks. The small circuit itself is perceived as building block for larger networks. Individual dynamics and coupling are motivated by neuronal systems: We consider two types of dynamical modes for an individual element, regular spiking and chattering and each individual element can receive excitatory and/or inhibitory inputs and is subjected to different feedback types (excitatory and inhibitory; forward and recurrent). Both, deterministic and stochastic simulations are carried out to study the input-output relationships of these networks. Major results for regular spiking elements include frequency locking, spike rate amplification for strong synaptic coupling, and inhibition-induced spike rate control which can be interpreted as a output frequency rectification. For chattering elements, spike rate amplification for low frequencies and silencing for large frequencies is characteristic
Original languageEnglish
Pages (from-to)807-818
Number of pages11
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number3
Early online date26 Jun 2014
Publication statusPublished - Mar 2015

Bibliographical note

© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International


  • signal transmission
  • small networks
  • integrate-and-fire neurons


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