Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems
DOI10.1007/s00422-022-00951-8OpenAlexW4309265099MaRDI QIDQ2688644
Hillel J. Chiel, Peter J. Thomas, Yangyang Wang, Jeffrey P. Gill
Publication date: 3 March 2023
Published in: Biological Cybernetics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.08339
nonsmooth systemssensory feedbackinfinitesimal phase response curve\textit{Aplysia}robust motor behaviorvariational dynamics
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Biomechanics (92C10)
Cites Work
- Unnamed Item
- Unnamed Item
- Fundamental matrix solutions of piecewise smooth differential systems
- The significance of dynamical architecture for adaptive responses to mechanical loads during rhythmic behavior
- Piecewise-smooth dynamical systems. Theory and applications
- Neural control exploits changing mechanical advantage and context dependence to generate different feeding responses in Aplysia
- Control for multifunctionality: bioinspired control based on feeding in \textit{Aplysia californica}
- Theory of hybrid dynamical systems and its applications to biological and medical systems
- Sensitivity Analysis for Oscillating Dynamical Systems
- Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation
- Synchronization of Electrically Coupled Resonate-and-Fire Neurons
- Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate
- The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
This page was built for publication: Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems
