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Hexapodal gaits and coupled nonlinear oscillator models
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Singularities and Groups in Bifurcation Theory
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Neural Basis of Elementary Behavior in Stick Insects
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Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency-locking in animal locomotion
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Coordination of many oscillators and generation of locomotory patterns
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A model of leg coordination in the stick insect, Carausius morosus
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A model of leg coordination in the stick insect, Carausius morosus
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The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model
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Hopf Bifurcation in the presence of symmetry
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Influence of loading parallel to the body axis on the walking coordination of an insect
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Timing and shaping influences on the motor output for walking in stick insects
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On the definition of central pattern generator and its sensory control
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A new model describing the coordination pattern of the legs of a walking stick insect
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A quantitative model of walking incorporating central and peripheral influences
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A quantitative model of walking incorporating central and peripheral influences
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Simulation of a model for the coordination of leg movement in free walking insects
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Interneurons coactivating hindleg flexor and extensor motoneurons in the locust
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A behavioural analysis of the temporal organisation of walking movements in the 1st instar and adult stick insect (Carausius morosus)
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Coupled nonlinear oscillators and the symmetries of animal gaits
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Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics
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Machines that walk: The adaptive suspension vehicle
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An Introduction to the Mathematics of Neurons
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Symmetry-increasing bifurcation of chaotic attractors
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Associative neural network model for the generation of temporal patterns. Theory and application to central pattern generators
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A synergetic theory of quadrupedal gaits and gait transitions
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Pattern and Control of Walking in Insects
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Nonlinear Equations in the Applied Sciences
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Are central pattern generators understandable?
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Silicon Micromechanical Devices
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Symmetric chaos in systems of three and four forced oscillators
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Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators
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Intra- and intersegmental pathways active during walking in the locust
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Water Uptake, Diameter Change, and Nonlinear Diffusion in Tree Stems
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Modeling of a Neural Pattern Generator with Coupled nonlinear Oscillators
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The control of sets of motoneurones by local interneurones in the locust.
inferredcites →https://doi.org/10.1126/science.154.3751.917openalex-snapshot
Release of Coordinated Behavior in Crayfish by Single Central Neurons
inferredcites →https://doi.org/10.1126/science.7423199openalex-snapshot
Neural Basis of Rhythmic Behavior in Animals
inferredcites →https://doi.org/10.1137/0150098openalex-snapshot
Synchronization of Pulse-Coupled Biological Oscillators
inferredcites →https://doi.org/10.1146/annurev.en.30.010185.001323openalex-snapshot
Factors Regulating Insect Walking
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Forcing of coupled nonlinear oscillators: studies of intersegmental coordination in the lamprey locomotor central pattern generator
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Locomotion in vertebrates: central mechanisms and reflex interaction
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Neurophysiology of locomotor automatism
inferredcites →https://doi.org/10.1177/027836498400300209openalex-snapshot
Characteristics of Leg Movements and Patterns of Coordination in Locusts Walking on Rough Terrain
inferredcites →https://doi.org/10.1212/wnl.38.11.1817openalex-snapshot
Neural Control of Rhythmic Movements in Vertebrates
inferredcites →https://doi.org/10.1242/jeb.29.2.267openalex-snapshot
The Co-Ordination of Insect Movements
inferredcites →https://doi.org/10.1242/jeb.52.1.139openalex-snapshot
Discharge Patterns of Coxal Levator and Depressor Motoneurones of the Cockroach, Periplaneta Americana
inferredcites →https://doi.org/10.1242/jeb.56.1.173openalex-snapshot
Central Programming and Reflex Control of Walking in the Cockroach
inferredcites →https://doi.org/10.1242/jeb.58.3.725openalex-snapshot
Nervous Mechanisms Underlying Intersegmental Co-Ordination of Leg Movements During Walking in the Cockroach
inferredcites →https://doi.org/10.1242/jeb.73.1.147openalex-snapshot
Unusual Step Patterns in the Free Walking Grasshopper Neoconocephalus Robustus
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Unusual Step Patterns in the Free Walking Grasshopper Neoconocephalus Robustus
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Manipulating symmetry in the coordination dynamics of human movement.
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Why change gaits? Dynamics of the walk-run transition.
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Symmetry in locomotor central pattern generators and animal gaits
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Shaping the energy curves of a servomotor-based hexapod robot
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Synchronisation in neural networks
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Novel plasticity rule can explain the development of sensorimotor intelligence
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The Dynamics of Gait Transitions: Effects of Grade and Load
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Breaking the Reflectional Symmetry of Interlimb Coordination Dynamics
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A Sensor-Based Robot Controller for Autonomous Exploration of Unknown Environments
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Nonlinear dynamics of networks: the groupoid formalism
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Symmetry breaking and gait transition induced by hydrodynamic sensory feedback in an anguilliform swimming robot
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Dynamics of two coupled van der Pol oscillators
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Simple central pattern generator model using phasic analog neurons
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How does a periodic rotating wave emerge from high-dimensional chaos in a ring of coupled chaotic oscillators?
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Multirhythmicity generated by slow variable diffusion in a ring of relaxation oscillators and noise-induced abnormal interspike variability
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Mode transitions and wave propagation in a driven-dissipative Toda-Rayleigh ring
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Partial amplitude death in coupled chaotic oscillators
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Levels of complexity in scale-invariant neural signals
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Versatile Locomotion Control of a Hexapod Robot Using a Hierarchical Network of Nonlinear Oscillator Circuits
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Oscillations, SE(2)-snakes and motion control
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Adaptive robotic gait control using coupled artificial signalling networks, hopf oscillators and inverse kinematics
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Neuromorphic Instantiation of Spiking Half-Centered Oscillator Models for Central Pattern Generation
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Gait selection for quadruped and hexapod walking systems
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A Quadrupedal Locomotion Central Pattern Generator Based on Oscillatory Building Block Networks
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An adaptable controller for autonomous robots operating in unexplored environments
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Hexapod locomotion: A nonlinear dynamical systems approach
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Gait pattern and energetic cost in hexapods
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Building artificial CPGs with asymmetric Hopfield networks
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Trunk stabilization of multi-legged robots using on-line learning via a NARX neural network compensator
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Tilted Leg Design for a Rapid-Prototyped Low-Voltage Piezoelectric Running Robot
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Towards the design of a leg-wheel walking hexapod
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Stratified motion planning on non-smooth domains with application to robotic legged locomotion and manipulation
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Optimization of the hexapod robot walking by genetic algorithm
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Multimodal Behavior in a Four Neuron Ring Circuit: Mode Switching
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Autonomous Identification and Goal-Directed Invocation of Event-Predictive Behavioral Primitives
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On the VLSI Implementation of Adaptive-Frequency Hopf Oscillator
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A Novel Theoretical Approach for Hexapodal Gait Generation of the CPG Controller by Using the Delay-Coupled VDP Oscillators
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Controlling Symmetries and Clustered Dynamics of Complex Networks
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Motion planning for kinematic stratified systems with application to quasi-static legged locomotion and finger gaiting
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Stratified Motion Planning on Nonsmooth Domains With Robotic Applications
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An Adaptive, Self-Organizing Dynamical System for Hierarchical Control of Bio-Inspired Locomotion
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A self-adjusting oscillator controller for robots exploring dynamic or unknown environments
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Mode interaction in horses, tea, and other nonlinear oscillators: The universal role of symmetry
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Spatiotemporal Symmetries in the Disynaptic Canal-Neck Projection
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Stable Synchronous Propagation of Signals by Feedforward Networks
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A Theoretical Approach for Gait Generation of the CPG Controller by Using the Time-Delay Coupled Oscillators
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The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
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SENSORY FEEDBACK IN CNN-BASED CENTRAL PATTERN GENERATORS
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COMPLEX ORDER BIPED RHYTHMS
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Spontaneous Symmetry-Breaking in a Network Model for Quadruped Locomotion
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Symmetry and Network Topology in Neuronal Circuits: Complicity of Form and Function
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Synchronous Propagation of Periodic Signals in Feedforward Networks of Standard Model Neurons
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Is walking a random walk? Evidence for long-range correlations in stride interval of human gait
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Kinematic Coordination in Human Gait: Relation to Mechanical Energy Cost
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Near-Saddle-Node Bifurcation Behavior as Dynamics in Working Memory for Goal-Directed Behavior
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Symmetry-Breaking Cascades and the Dynamics of Morphogenesis and Behaviour
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Sense Organs of Insect Legs and the Selection of Sensors for Agile Walking Robots
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Motion Planning for Kinematic Stratified Systems with Application to Quasi-Static Legged Locomotion and Finger Gaiting
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Intersegmental coupling and recovery from perturbations in freely running cockroaches
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Templates and anchors: neuromechanical hypotheses of legged locomotion on land
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Connecting brain to behaviour: a role for general purpose steering circuits in insect orientation?
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Three People Can Synchronize as Coupled Oscillators during Sports Activities
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Community Structure and Multi-Modal Oscillations in Complex Networks
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Identifying the Dynamics of Leg Muscle Activation During Human Gait Using Neural Oscillator and Fuzzy Compensator
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Sensory Feedback Induced by Front-Leg Stepping Entrains the Activity of Central Pattern Generators in Caudal Segments of the Stick Insect Walking System
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Three Gait Oscillations Switchable by a Single Parameter on Hard-Wired Central Pattern Generator Hardware Network
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Gait Generation of Hexapod Robot for the CPG Controller by Using the Delayed Van der Pol Oscillators
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Rotating wave dynamics and multistability in a unidirectional ring of Hindmarsh–Rose neurons
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Rotating wave dynamics and multistability in a unidirectional ring of Hindmarsh–Rose neurons
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Towards systematic controller design in rehabilitation robots
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Synchronisation in neural networks
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The Passive Series Stiffness That Optimizes Torque Tracking for a Lower-Limb Exoskeleton in Human Walking
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Straight Gait Research of a Small Electric Hexapod Robot
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Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons
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Design Issues for Hexapod Walking Robots
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Symmetry-Breaking in a Rate Model for a Biped Locomotion Central Pattern Generator
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Faculty Opinions recommendation of The manifold structure of limb coordination in walking Drosophila.
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A review on the coordinative structure of human walking and the application of principal component analysis.
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Design of Hexapod Walking Robots
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A General Rhythmic Pattern Generation Architecture for Legged Locomotion
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Study on Optimization of CPG Model for Lower Limb Prosthesis
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Central Pattern Generator Incorporating The Actuator Dynamics For A Hexapod Robot
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Optimisation mécatronique d'un robot hexapode bio-inspiré pour une navigation autonome de longue distance
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Biological-like Functions Produced by Ordered Volume Change in Gels Due to Synchronization of Chemical Oscillations
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The manifold structure of limb coordination in walking Drosophila
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Control of stratified systems with robotic applications
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