Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator
From MaRDI portal
Publication:2245997
DOI10.1016/j.amc.2021.126522OpenAlexW3184050106MaRDI QIDQ2245997
Lifeng Wang, Yue Yu, Xindong Ma
Publication date: 15 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126522
Qualitative theory for ordinary differential equations (34Cxx) Nonlinear dynamics in mechanics (70Kxx) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Pathwise description of dynamic pitchfork bifurcations with additive noise
- Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: the case of Hopf bifurcation
- Nested mixed-mode oscillations. II: Experimental and numerical study of a classical Bonhoeffer-van der Pol oscillator
- Hopf bifurcations in a class of reaction-diffusion equations including two discrete time delays: an algorithm for determining Hopf bifurcation, and its applications
- Hopf-bifurcation-delay-induced bursting patterns in a modified circuit system
- Periodic or chaotic bursting dynamics via delayed pitchfork bifurcation in a slow-varying controlled system
- Influence of multiple time delays on bifurcation of fractional-order neural networks
- Nonlinear internal resonance of double-walled nanobeams under parametric excitation by nonlocal continuum theory
- Nonlinear dynamics of self-, parametric, and externally excited oscillator with time delay: van der Pol versus Rayleigh models
- Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation
- Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel ``Hopf/Hopf-hysteresis-induced bursting and complex AMB rhythms
- The joint evolution of cooperation and competition
- Slow Passage Through the Nonhyperbolic Homoclinic Orbit Associated with a Subcritical Pitchfork Bifurcation for Hamiltonian Systems and the Change in Action
- Global Bifurcation Analysis of a Duffing–Van der Pol Oscillator with Parametric Excitation
- Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations
- Pitchfork-bifurcation-delay-induced bursting patterns with complex structures in a parametrically driven Jerk circuit system
- Slow Passage Through the Nonhyperbolic Homoclinic Orbit of the Saddle‐Center Hamiltonian Bifurcation
- Parametric excitation induced extreme events in MEMS and Liénard oscillator
- Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant
- Transverse vibrations of a centrally clamped rotating circular disk
