Coupled chaotic oscillators and their relation to a central pattern generator for artificial quadrupeds

Horacio Castellini, Efta Yudiarsah, Lilia Romanelli, Hilda A. Cerdeira

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Animal locomotion employs different periodic patterns known as animal gaits. In 1993, Collins and Stewart recognized that gaits possessed certain symmetries and characterized the gaits of quadrupeds and bipeds using permutation symmetry groups, which impose constraints on the locomotion center called the central pattern generator (CPG) in the animal brain. They modeled the CPG by coupling four nonlinear oscillators and found that it was possible to reproduce all symmetries of the gaits by changing the coupling strength. Here we propose to extend this idea using coupled chaotic oscillators synchronized using the Pyragas method in order to characterize the CPG symmetries. We also evaluate the time series behavior when the foot is in contact with the ground: this has potential robotic applications.

Original languageEnglish
Pages (from-to)525-534
Number of pages10
JournalPramana - Journal of Physics
Volume64
Issue number4 SPEC. ISS.
Publication statusPublished - 1 Apr 2005

Keywords

  • Animal gaits
  • Chaos
  • Synchronization

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