EXOTIC DYNAMICS IN NETWORKS OF COUPLED RINGS OF CELLS

DOI10.1142/S0218127412500642zbMath1270.34132OpenAlexW1978292707MaRDI QIDQ2843555

Carla M. A. Pinto

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412500642

zbMATH Keywords

Hopf bifurcationexact symmetrycoupled cells systemsinterior symmetry

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (2)

Chaos and Synchronization in Complex Fractional-Order Chua’s System ⋮ Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

Cites Work

• Fractional central pattern generators for bipedal locomotion
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• Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex
• Hopf Bifurcation in Coupled Cell Networks with Interior Symmetries
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Interior symmetry and local bifurcation in coupled cell networks
• Synchronization in chaotic systems
• Nonlinear dynamics of networks: the groupoid formalism
• Models of central pattern generators for quadruped locomotion. II: Secondary gaits.
• Models of central pattern generators for quadruped locomotion. I: Primary gaits.
• Relaxation oscillation and canard explosion
• Canards in \(\mathbb{R}^3\)

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