Numerical bifurcation analysis of the bipedal spring-mass model
From MaRDI portal
Publication:282226
DOI10.1016/j.physd.2014.09.010zbMath1335.37056OpenAlexW2077686173MaRDI QIDQ282226
Martin Hermann, Andreas Merker, Dieter Kaiser
Publication date: 12 May 2016
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2014.09.010
Periodic solutions to ordinary differential equations (34C25) Developmental biology, pattern formation (92C15) Simulation of dynamical systems (37M05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical systems in classical and celestial mechanics (37N05)
Related Items (6)
Stable Running with Asymmetric Legs: A Bifurcation Approach ⋮ Approximate solutions and numerical analysis of a spring-mass running model ⋮ Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running ⋮ Dynamics of a self-propelled capsule robot in contact with different folds in the small intestine ⋮ Energy variations and periodic solutions in a switched inverted pendulum model of human running gaits ⋮ Asymptotic solution of a boundary value problem for a spring-mass model of legged locomotion
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerische Behandlung von Verzweigunsproblemen bei gewöhnlichen Differentialgleichungen
- The algorithmic analysis of hybrid systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
- RWPKV: A software package for continuation and bifurcation problems in two-point boundary value problems
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- RWPM: A software package of shooting methods for nonlinear two-point boundary value problems
- Theoretical and numerical studies of nonlinear shell equations
- Towards a neuromechanical model for insect locomotion: hybrid dynamical systems
- Non-simple Turning Points and Cusps
- Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
- Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
- The Calculation of Turning Points of Nonlinear Equations
- The numerical treatment of non-trivial bifurcation points
- A General View of Minimally Extended Systems for Simple Bifurcation Points
- Fast Direct Multiple Shooting Algorithms for Optimal Robot Control
- Numerik gewöhnlicher Differentialgleichungen
- NUMERICAL CONTINUATION OF BRANCH POINTS OF EQUILIBRIA AND PERIODIC ORBITS
- A First Course in Ordinary Differential Equations
- The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
- MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK I: A SINGLE-DOMINANT MODEL
- Dynamische Systeme
- Perturbed bifurcation theory
This page was built for publication: Numerical bifurcation analysis of the bipedal spring-mass model
