Fractional central pattern generators for bipedal locomotion

DOI10.1007/s11071-010-9696-4zbMath1204.92007OpenAlexW1966261502MaRDI QIDQ619523

Carla M. A. Pinto, José António Tenreiro Machado

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9696-4

zbMATH Keywords

symmetryfractionalbifurcationlocomotioncentral pattern generators

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Biomechanics (92C10) Biological rhythms and synchronization (92B25)

Related Items

New findings on the dynamics of HIV and TB coinfection models ⋮ Oscillatory region and asymptotic solution of fractional van der Pol oscillator via residue harmonic balance technique ⋮ The role of synaptic transmission in a HIV model with memory ⋮ Persistence of low levels of plasma viremia and of the latent reservoir in patients under ART: a fractional-order approach ⋮ EXOTIC DYNAMICS IN NETWORKS OF COUPLED RINGS OF CELLS

Uses Software

• CRONE

Cites Work

• Self-organized control of bipedal locomotion by neural oscillators in unpredictable environment
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The statistics of the fractional moments: is there any chance to ``read quantitatively any randomness?
• Coupled oscillators and the design of central pattern generators
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Coupled nonlinear oscillators and the symmetries of animal gaits
• A group-theoretic approach to rings of coupled biological oscillators
• Hexapodal gaits and coupled nonlinear oscillator models
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• An in silico central pattern generator: silicon oscillator, coupling, entrainment, and physical computation
• A modular network for legged locomotion.
• Central pattern generators for bipedal locomotion
• Dynamic Hebbian learning in adaptive frequency oscillators
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Discretization schemes for fractional-order differentiators and integrators
• Nonlinear dynamics of networks: the groupoid formalism
• Models of central pattern generators for quadruped locomotion. I: Primary gaits.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item