Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts
From MaRDI portal
Publication:1771796
DOI10.1016/J.CHAOS.2004.09.028zbMath1135.70312OpenAlexW2033225924MaRDI QIDQ1771796
Publication date: 18 April 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.028
Forced motions for nonlinear problems in mechanics (70K40) Evolution inclusions (34G25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (35)
Bifurcations of chaotic attractors in a piecewise smooth Lorenz-type system ⋮ Dynamics of an impact-progressive system ⋮ Dynamic analysis and suppressing chaotic impacts of a two-degree-of-freedom oscillator with a clearance ⋮ Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics ⋮ Discontinuous dynamics of an asymmetric 2-DOF friction oscillator with elastic and rigid impacts ⋮ Dynamics and SC-CNN circuit implementation of a periodically forced non-smooth mechanical system ⋮ Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations ⋮ A Parameter Study on Periodic Motions in a Discontinuous Dynamical System with Two Circular Boundaries ⋮ Hidden attractor in smooth Chua systems ⋮ The dynamics of a symmetric impact oscillator between two rigid stops ⋮ Composite Poincaré mapping of double grazing in non-smooth dynamical systems: bifurcations and insights ⋮ Sub-harmonic Melnikov function for a high-dimensional non-smooth coupled system ⋮ Impact limit cycles in the planar piecewise linear hybrid systems ⋮ 1:3 resonance bifurcation of a three-degree-of-freedom vibratory system with symmetrical rigid stops ⋮ Solitary waves in boundary layer induced by a travelling wave with increasing amplitude ⋮ DYNAMICS OF A DAMPING OSCILLATOR WITH IMPACT AND IMPULSIVE EXCITATION ⋮ The Dynamics of a Hybrid Chaotic System ⋮ Analysis of discontinuous dynamical behaviors of a friction-induced oscillator with an elliptic control law ⋮ Symmetry, cusp bifurcation and chaos of an impact oscillator between two rigid sides ⋮ Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises ⋮ On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary ⋮ Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system ⋮ Periodic-impact motions and bifurcations of vibro-impact systems near \(1:4\) strong resonance point ⋮ A parameter study of the eccentricity frequency and amplitude, and chip length effects on a machine tool with multiple boundaries ⋮ The nonsmooth vibration of a relative rotation system with backlash and dry friction ⋮ Coexistence of Subharmonic Resonant Modes Obeying a Period-Adding Rule ⋮ Dynamics of a small vibro-impact pile driver ⋮ Bifurcation sequences of vibroimpact systems near a 1:2 strong resonance point ⋮ Periodic-impact motions and bifurcations in dynamics of a plastic impact oscillator with a frictional slider ⋮ A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems ⋮ A Lorenz-type attractor in a piecewise-smooth system: Rigorous results ⋮ Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system ⋮ Controlling bifurcation and chaos of a plastic impact oscillator ⋮ On Discontinuous Dynamics of a Freight Train Suspension System ⋮ On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems
Cites Work
- Bifurcations and chaos in a forced zero-stiffness impact oscillator
- Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
- Global chaos in a periodically forced, linear system with a dead-zone restoring force
- On the symmetry of solutions in non-smooth dynamical systems with two constraints
- The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation
- Periodic response and stability of oscillators with symmetric trilinear restoring force
- [https://portal.mardi4nfdi.de/wiki/Publication:3343478 Mechanische Systeme mit unstetigen �berg�ngen]
- Local and global stability of a piecewise linear oscillator
- Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach
- A periodically forced piecewise linear oscillator
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
This page was built for publication: Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts