A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems
DOI10.1142/S0218127420300335zbMath1452.37085OpenAlexW3088606921MaRDI QIDQ4971030
Xian-Feng Li, Hui Zhang, Andrew Y. T. Leung
Publication date: 8 October 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420300335
parameter sensitivity analysismost sensitive bifurcation parameterspiecewise mechanical systemstate sensitivity analysis
Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for bifurcation problems in dynamical systems (37M20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local Langlands duality and a duality of conformal field theories
- Discontinuous dynamics of a non-linear, self-excited, friction-induced, periodically forced oscillator
- Discontinuous dynamical systems on time-varying domains
- Non-smooth modelling of electrical systems using the flux approach
- A periodically forced, piecewise linear system. II: The fragmentation mechanism of strange attractors and grazing
- Mechanical system dynamics
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- Nonlinear sensitivity analysis of multiparameter model systems
- Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
- Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
- Chaos and period-adding; experimental and numerical verification of the grazing bifurcation
- Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts
- Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces
- Grazing bifurcation in aeroelastic systems with freeplay nonlinearity
- Continuous and discontinuous grazing bifurcations in impacting oscillators
- Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
- Interaction of Hopf and period doubling bifurcations of a vibro-impact system
- Dynamical complexities of forced impacting systems
- Intermittency in impact oscillators close to resonance
- Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
- Analysis of Proportional-Derivative and Nonlinear Control of Mechanical Systems with Dynamic Backlash
- Vibro‐Impact Dynamics
- About eigen sensitivity analysis of mechanical structures
- On Discontinuous Dynamics of a Freight Train Suspension System
- Experimental study of impact oscillator with one-sided elastic constraint
- Elements of applied bifurcation theory
- Corner collision implies border-collision bifurcation
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
This page was built for publication: A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems
