A generalized perturbed pendulum.
From MaRDI portal
Publication:1419196
DOI10.1016/S0960-0779(02)00210-2zbMath1065.70013OpenAlexW2044465000MaRDI QIDQ1419196
Miguel A. F. Sanjuán, J. P. Baltanás, José L. Trueba
Publication date: 14 January 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00210-2
Forced motions for nonlinear problems in mechanics (70K40) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)
Related Items
The effect of dynamical self-orientation and its applicability for identification of natural frequencies, Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory, Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator, On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential, Negative Derivative Feedback Controller for Repressing Vibrations of the Hybrid Rayleigh−Van der Pol−Duffing Oscillator, On rotational solutions for elliptically excited pendulum, Stability and chaotic dynamics of a perturbed rate gyro, The \(N\)-link pendulum: embedding nonlinear dynamics into the multidimensional scaling method, Influence of nonlinearity on transition curves in a parametric pendulum system, Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh-Duffing oscillator, HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS, Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh–Duffing Oscillator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on transitions order-chaos induced by the shape of the periodic excitation in a parametric pendulum.
- Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
- The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
- Basins of Wada
- The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics
- Lyapunov exponents for the Miles' spherical pendulum equations
- Subharmonic bifurcations in a pendulum parametrically excited by a non-harmonic perturbation
- Experimental study of chaos in a driven pendulum
- Rotating periodic orbits of the parametrically excited pendulum
- Stability and Hopf bifurcations in an inverted pendulum
- CHAOTIC DYNAMICS OF THE PARTIALLY FOLLOWER-LOADED ELASTIC DOUBLE PENDULUM
- ZONES OF CHAOTIC BEHAVIOUR IN THE PARAMETRICALLY EXCITED PENDULUM
- CRITICAL FORCING FOR HOMOCLINIC AND HETEROCLINIC ORBITS OF A ROTATING PENDULUM
- Chaotic Behavior in the Josephson Equations with Periodic Force
- Author's Reply
- A numerical and experimental study of codimension–2 points in a parametrically excited double pendulum
- A pendulum theorem
- A PHYSICAL INTERPRETATION OF MELNIKOV’S METHOD
- Taming chaotic dynamics with weak periodic perturbations
- THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR
- ANALYTICAL ESTIMATES OF THE EFFECT OF NONLINEAR DAMPING IN SOME NONLINEAR OSCILLATORS
- Chelomei's pendulum explained
- Multiple-nodding oscillations of a driven inverted pendulum
- Energy dissipation in a nonlinearly damped Duffing oscillator
