Bifurcations and chaos in a forced zero-stiffness impact oscillator
From MaRDI portal
Publication:751362
DOI10.1016/0020-7462(90)90030-DzbMath0714.73049MaRDI QIDQ751362
Richard H. Rand, Guangxuan Li, Francis C. Moon
Publication date: 1990
Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)
pitchfork bifurcationsperiod-doubling bifurcationssymmetricasymmetricSaddle-nodesimple periodic solutionssmall forcingsmooth pin jointsspace truss structures
Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45) Impact in solid mechanics (74M20)
Related Items
Basins of Attraction and Transient Chaos in a Gear-Rattling Model ⋮ A periodically forced, piecewise linear system. I: Local singularity and grazing bifurcation ⋮ Motion types and chaos of multi-body systems vibrating with impacts ⋮ Numerical analysis of nonlinear modes of piecewise linear systems torsional vibrations ⋮ Semi-analytical method to study piecewise linear oscillators ⋮ Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator ⋮ CONTROL OF A DOUBLE IMPACTING MECHANICAL OSCILLATOR USING DISPLACEMENT FEEDBACK ⋮ Basins of attraction changes by amplitude constraining of oscillators with limited power supply ⋮ Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts ⋮ Chaos in mechanical systems -- a review ⋮ An efficient pseudo-spectral method for nonsmooth dynamical systems ⋮ Mixed global dynamics of forced vibro-impact oscillator with Coulomb friction ⋮ Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system ⋮ Periodic solutions and bifurcations in an impact-inverted pendulum under impulsive excitation ⋮ Bifurcations and transition phenomena in an impact oscillator.
Uses Software
