Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
From MaRDI portal
Publication:2758123
DOI10.1088/0951-7715/14/6/306zbMath1001.70020OpenAlexW2065773966MaRDI QIDQ2758123
Publication date: 20 May 2002
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/14/6/306
Bifurcation theory for ordinary differential equations (34C23) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (28)
Chaos explosion and topological horseshoe in three-dimensional impacting hybrid systems with a single impact surface ⋮ Simulation and stability analysis of impacting systems with complete chattering ⋮ Dynamics of impacts with a table moving with piecewise constant velocity ⋮ Theoretical analysis of co-dimension-two grazing bifurcations in \(n\)-degree-of-freedom impact oscillator with symmetrical constrains ⋮ Response analysis of Rayleigh-Van der Pol vibroimpact system with inelastic impact under two parametric white-noise excitations ⋮ Cascades of alternating smooth bifurcations and border collision bifurcations with singularity in a family of discontinuous linear-power maps ⋮ Near Tangent Dynamics in a Class of Hamiltonian Impact Systems ⋮ Nonlinear system identification of the dynamics of a vibro-impact beam: numerical results ⋮ Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators ⋮ Simple model of bouncing ball dynamics: displacement of the limiter assumed as a cubic function of time ⋮ Discontinuous dynamics with grazing points ⋮ Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems ⋮ Chaotic period-doubling and OGY control for the forced Duffing equation ⋮ Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models ⋮ Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation ⋮ Grazing in Impulsive Differential Equations ⋮ Non-autonomous grazing phenomenon ⋮ Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones ⋮ Periodic motions generated from non-autonomous grazing dynamics ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law ⋮ Corner bifurcations in nonsmoothly forced impact oscillators ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems ⋮ INTEGRATION-FREE ANALYSIS OF NONSMOOTH LOCAL DYNAMICS IN PLANAR FILIPPOV SYSTEMS ⋮ First return time to the contact hyperplane for \(N\)-degree-of-freedom vibro-impact systems ⋮ Energy Transfer in Vibratory Systems with Friction Exhibiting Low-velocity Collisions ⋮ Paradoxical simulation results of chaos-like chattering in the bouncing ball system
This page was built for publication: Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
