Multiple-S-Shaped Critical Manifold and Jump Phenomena in Low Frequency Forced Vibration with Amplitude Modulation
From MaRDI portal
Publication:5379853
DOI10.1142/S021812741930012XzbMath1419.34144WikidataQ127756549 ScholiaQ127756549MaRDI QIDQ5379853
Qinsheng Bi, Chee Wah Lim, Qianqian Wang, Yue Yu
Publication date: 14 June 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)
Related Items
Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations, Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks, Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator
- Unpredictable behavior in the Duffing oscillator: Wada basins
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Effect of amplitude modulated signal on chaotic motions in a mixed Rayleigh-Liénard oscillator
- Nonlinear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Vibrational Resonance in the Duffing Oscillator with Distributed Time-Delayed Feedback
- On the periodic response of a harmonically excited dry friction oscillator
- A Geometric Model for Mixed-Mode Oscillations in a Chemical System
- Properties of a Bursting Model with Two Slow Inhibitory Variables
- Existence and stability of nontrivial periodic solutions of periodically forced discrete dynamical Systems
- Stable dynamics in forced systems with sufficiently high/low forcing frequency
- ON THE EXISTENCE OF A STABLE PERIODIC SOLUTION OF AN IMPACTING OSCILLATOR WITH TWO FENDERS
- BIFURCATION, BURSTING AND SPIKE GENERATION IN A NEURAL MODEL
- The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales
- Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron
- Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers
- Melnikov’s criteria, parametric control of chaos, and stationary chaos occurrence in systems with asymmetric potential subjected to multiscale type excitation
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Relaxation oscillation and canard explosion
- The entry-exit function and geometric singular perturbation theory
