Adaptive Oscillator Networks with Conserved Overall Coupling: Sequential Firing and Near-Synchronized States - Nonlinear Sciences > Adaptation and Self-Organizing SystemsReport as inadecuate




Adaptive Oscillator Networks with Conserved Overall Coupling: Sequential Firing and Near-Synchronized States - Nonlinear Sciences > Adaptation and Self-Organizing Systems - Download this document for free, or read online. Document in PDF available to download.

Abstract: Motivated by recent observations in neuronal systems we investigateall-to-all networks of non-identical oscillators with adaptive coupling. Theadaptation models spike-timing-dependent plasticity in which the sum of theweights of all incoming links is conserved. We find multiple phase-lockedstates that fall into two classes: near-synchronized states and splay states.Among the near-synchronized states are states that oscillate with a frequencythat depends only very weakly on the coupling strength and is essentially givenby the frequency of one of the oscillators, which is, however, neither thefastest nor the slowest oscillator. In sufficiently large networks the adaptivecoupling is found to develop effective network topologies dominated by one ortwo loops. This results in a multitude of stable splay states, which differ intheir firing sequences. With increasing coupling strength their frequencyincreases linearly and the oscillators become less synchronized. The essentialfeatures of the two classes of states are captured analytically in perturbationanalyses of the extended Kuramoto model used in the simulations.



Author: Clara B. Picallo, Hermann Riecke

Source: https://arxiv.org/







Related documents