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Models of central pattern generators for quadruped locomotion. II. Secondary gaits
1University of Warwick, Coventry CV4 7AL, UK. buono@crm.umontreal.ca
Journal of Mathematical Biology
|May 26, 2001
Summary
This study analyzes secondary gaits in central pattern generators (CPG) for quadruped locomotion. It identifies specific gaits like transverse and rotary gallop arising from bifurcations in CPG models.
Area of Science:
- Neuroscience
- Dynamical Systems
- Locomotion
Background:
- Central pattern generators (CPGs) are neural circuits controlling rhythmic behaviors like locomotion.
- Previous work modeled quadruped locomotion using symmetrically coupled cells.
- Secondary gaits, such as transverse gallop and rotary gallop, are less understood than primary gaits.
Purpose of the Study:
- To analyze secondary gaits in a CPG model for quadruped locomotion.
- To classify secondary gaits that bifurcate from primary gaits.
- To investigate period-doubling bifurcations and their resulting footfall patterns.
Main Methods:
- Studied secondary gaits modeled by CPG output signals with phase shifts.
- Classified gaits based on eigenvalues of the Poincaré map.
- Employed numerical simulations using Morris-Lecar equations for cell dynamics.
Main Results:
- Periodic solutions modeling transverse gallop and rotary gallop were shown to bifurcate from primary gaits.
- New gaits arising from period-doubling bifurcations were identified.
- Plausible footfall patterns for these novel gaits were analyzed.
Conclusions:
- The study provides a classification of secondary gaits in CPG models.
- Bifurcation analysis successfully predicts the emergence of specific gaits like transverse and rotary gallop.
- Period-doubling bifurcations offer a mechanism for generating diverse locomotion patterns in quadrupedal animals.