Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum
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Publication:493939
DOI10.1007/s11071-014-1723-4zbMath1345.34056OpenAlexW1976490871MaRDI QIDQ493939
Publication date: 7 September 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-014-1723-4
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Simulation of dynamical systems (37M05) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Motion of a rigid body with a fixed point (70E17)
Related Items (6)
Quasi-periodic solutions and homoclinic bifurcation in an impact inverted pendulum ⋮ Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones ⋮ The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application ⋮ Subharmonic bifurcations and chaotic motions for a class of inverted pendulum system ⋮ The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold ⋮ Soliton solutions and chaotic motions for the \((2+1)\)-dimensional Zakharov equations in a laser-induced plasma
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcations of planar sliding homoclinics
- Chaos controlling self-sustained electromechanical seismograph system based on the Melnikov theory
- Bifurcation and chaos in discontinuous and continuous systems
- An example of chaotic behaviour in presence of a sliding homoclinic orbit
- Exponential dichotomies, heteroclinic orbits, and Melnikov functions
- Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
- Bifurcations of equilibria in non-smooth continuous systems
- Melnikov method for discontinuous planar systems
- Type I periodic motions for nonlinear impact oscillators
- Homoclinic trajectories in discontinuous systems
- Bifurcation and chaos near sliding homoclinics
- Vibro-impact dynamics. Modeling, mapping and applications
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Bifurcations of subharmonics
- The transition to chaos in a simple mechanical system
- The bifurcation to homoclinic tori in the quasiperiodically forced Duffing oscillator
- A procedure for reducing the chaotic response region in an impact mechanical system
- Global bifurcations and chaos. Analytical methods
- Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
- Non-smooth dynamical systems
- Periodic solutions and bifurcations in an impact-inverted pendulum under impulsive excitation
- Regular nonlinear dynamics and bifurcations of an impacting system under general periodic excitation
- Nonstandard bifurcations in oscillators with multiple discontinuity boundaries
- Detection of homoclinic bifurcations in resonance zones of forced oscillators
- Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
- Determining Lyapunov spectrum and Lyapunov dimension based on the Poincaré map in a vibro-impact system
- Chaos in forced impact systems
- Melnikov theory for a class of planar hybrid systems
- Impact oscillators with homoclinic orbit tangent to the wall
- Piecewise-smooth dynamical systems. Theory and applications
- Frictional oscillations under the action of almost periodic excitation
- Asymmetric type II periodic motions for nonlinear impact oscillators
- A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems
- Topological Degree Approach to Bifurcation Problems
- An event-driven method to simulate Filippov systems with accurate computing of sliding motions
- On the Suppression of Chaos by Means of Bounded Excitations in an Inverted Pendulum
- Properties of cross-well chaos in an impacting system
- Bifurcations and chaos in a quasi-periodically forced beam: theory, simulation and experiment
- The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
- Asymptotic analysis of chattering oscillations for an impacting inverted pendulum
- Bifurcations in nonlinear discontinuous systems
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