The Role of Symmetry and Dissipation in Biolocomotion
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Publication:3465252
DOI10.1137/140970914zbMath1353.37159arXiv1212.1978OpenAlexW1659587755MaRDI QIDQ3465252
Jaap Eldering, Henry O. Jacobs
Publication date: 21 January 2016
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1978
Control of mechanical systems (70Q05) Biomechanics (92C10) Periodic orbits of vector fields and flows (37C27) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems in classical and celestial mechanics (37N05)
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Cites Work
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- Asynchronous variational contact mechanics
- Energy efficient walking with central pattern generators: From passive dynamic walking to biologically inspired control
- Isoholonomic problems and some applications
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Geometric singular perturbation theory for ordinary differential equations
- On realizing nonholonomic constraints by viscous friction forces and Celtic stones stability
- On the realization of constraints in nonholonomic mechanics
- Manifolds, tensor analysis, and applications.
- Lagrangian reduction and the double spherical pendulum
- Reduction of symplectic manifolds with symmetry
- Crawling scallop: friction-based locomotion with one degree of freedom
- Problems and progress in microswimming
- Normally hyperbolic invariant manifolds. The noncompact case
- On the damping-induced self-recovery phenomenon in mechanical systems with several unactuated cyclic variables
- Locomotion of articulated bodies in a perfect fluid
- The Quadratic Eigenvalue Problem
- Lagrangian reduction by stages
- Model Reduction Near Periodic Orbits of Hybrid Dynamical Systems
- Motion under a strong constraining force
- Geometry of self-propulsion at low Reynolds number
- Quasivelocities and symmetries in non-holonomic systems
- Controlled Reduction With Unactuated Cyclic Variables: Application to 3D Bipedal Walking With Passive Yaw Rotation
- Invariant manifolds
- Lie groups
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