English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Coupled arrays of Andronov-Hopf oscillators are investigated. These arrayscan be diffusively or repulsively coupled, and can serve as central patterngenerator models in animal locomotion and robotics. It is shown that repulsivecoupling generates out-of-phase oscillations, while diffusive couplinggenerates synchronous oscillations. Specifically, symmetric solutions and theircorresponding amplitudes are derived, and contraction analysis is used to proveglobal stability and convergence of oscillations to either symmetricout-of-phase or synchronous states, depending on the coupling constant. Next,the two mechanisms are used jointly by coupling multiple arrays. The resultingdynamics is analyzed, in a model inspired by the CPG-motorneuron network thatcontrols the heartbeat of a medicinal leech.

Global stability of synchronous and out-of-phase oscillations in central pattern generators