Lateral Dynamics of Walking-Like Mechanical Systems and Their Chaotic Behavior
From MaRDI portal
Publication:5197640
DOI10.1142/S0218127419300246zbMath1423.70035OpenAlexW2970372729MaRDI QIDQ5197640
Sergej Celikovsky, Volodymyr Lynnyk
Publication date: 19 September 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419300246
Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Robot dynamics and control of rigid bodies (70E60) Motion of a rigid body with a fixed point (70E17)
Cites Work
- Unnamed Item
- Unnamed Item
- A dynamic human motion: coordination analysis
- The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application
- Localization of hidden Chua's attractors
- Models, feedback control, and open problems of 3D bipedal robotic walking
- Estimating the largest Lyapunov exponent in a multibody system with dry friction by using chaos synchronization
- Dynamics and bifurcations of non-smooth mechanical systems
- Periodic motion planning for virtually constrained Euler--Lagrange systems
- Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
- Estimation of the largest Lyapunov exponent in systems with impacts
- On Lyapunov exponents for non-smooth dynamical systems with an application to a pendulum with dry friction
- On the chaotic behaviour of a simple dry-friction oscillator
- Melnikov method and detection of chaos for non-smooth systems
- Melnikov Method for a Class of Planar Hybrid Piecewise-Smooth Systems
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Controlled Invariants and Trajectory Planning for Underactuated Mechanical Systems
- Hidden Attractors on One Path: Glukhovsky–Dolzhansky, Lorenz, and Rabinovich Systems
- One-Parameter Bifurcations in Planar Filippov Systems
- DESYNCHRONIZATION CHAOS SHIFT KEYING METHOD BASED ON THE ERROR SECOND DERIVATIVE AND ITS SECURITY ANALYSIS
- Controlled symmetries and passive walking
- Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach
- Extraordinary oscillations of an ordinary forced pendulum
- Computing Melnikov Curves for Periodically Perturbed Piecewise Smooth Oscillators
- Bifurcations in nonlinear discontinuous systems
- Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems
This page was built for publication: Lateral Dynamics of Walking-Like Mechanical Systems and Their Chaotic Behavior