Dynamics of an impact oscillator near a degenerate graze
From MaRDI portal
Publication:3057401
DOI10.1088/0951-7715/23/11/001zbMath1210.34018arXiv1005.3286OpenAlexW1984838918MaRDI QIDQ3057401
Publication date: 24 November 2010
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.3286
Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Discontinuous ordinary differential equations (34A36) Singularities of vector fields, topological aspects (58K45)
Related Items (22)
Bifurcations of the symmetric quasi-periodic motion and Lyapunov dimension of a vibro-impact system ⋮ Period-adding and the Farey tree structure in a class of one-dimensional discontinuous nonlinear maps ⋮ Dynamics and SC-CNN circuit implementation of a periodically forced non-smooth mechanical system ⋮ Hausdorff dimension of chaotic attractors in a class of nonsmooth systems ⋮ Chattering as a singular problem ⋮ Periodic motion and transition of a vibro-impact system with multilevel elastic constraints ⋮ Control of near-grazing dynamics in the two-degree-of-freedom vibroimpact system with symmetrical constraints ⋮ Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system ⋮ Sinai–Ruelle–Bowen measure for normal form map of grazing bifurcations of impact oscillators ⋮ Complicated periodic cascades arising from double grazing bifurcations in an impact oscillator with two rigid constraints ⋮ Use of degeneration to stabilize near grazing periodic motion in impact oscillators ⋮ Analysis of a two-dimensional nonsmooth Poincaré-like map ⋮ Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators ⋮ Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces ⋮ PARAMETRIC ANALYSIS OF BIFURCATION AND CHAOS IN A PERIODICALLY DRIVEN HORIZONTAL IMPACT PAIR ⋮ Analytical determination for degenerate grazing bifurcation points in the single-degree-of-freedom impact oscillator ⋮ First return time to the contact hyperplane for \(N\)-degree-of-freedom vibro-impact systems ⋮ Suppression of grazing-induced instability in single degree-of-freedom impact oscillators ⋮ Paradoxical simulation results of chaos-like chattering in the bouncing ball system ⋮ Degenerate Grazing Bifurcations in a Simple Bilinear Oscillator ⋮ Dynamics of Dissipative Systems with Hamiltonian Structures ⋮ On the global dynamical properties of a Fermi–Ulam model
This page was built for publication: Dynamics of an impact oscillator near a degenerate graze
