Bursting dynamics and the zero-Hopf bifurcation of simple jerk system
DOI10.1016/j.chaos.2022.112455zbMath1506.94106OpenAlexW4288681298MaRDI QIDQ2677436
Shaohui Yan, Ertong Wang, Qiyu Wang, Binxian Gu, Yuyan Zhang, Xi Sun
Publication date: 13 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112455
Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Bifurcations of singular points in dynamical systems (37G10) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Cites Work
- Unnamed Item
- On the periodic orbit bifurcating from one single non-hyperbolic equilibrium in a chaotic jerk system
- Hopf and zero-Hopf bifurcations in the Hindmarsh-Rose system
- On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system
- Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity
- Averaging methods for finding periodic orbits via Brouwer degree.
- Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua's system
- The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities
- Zero-Hopf bifurcation in a 3D jerk system
- Periodic or chaotic bursting dynamics via delayed pitchfork bifurcation in a slow-varying controlled system
- Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria
- A simple jerk-like system without equilibrium: asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees
- Effects of symmetric and asymmetric nonlinearity on the dynamics of a novel chaotic jerk circuit: coexisting multiple attractors, period doubling reversals, crisis, and offset boosting
- Zero-Hopf bifurcation in a Chua system
- Further nonlinear dynamical analysis of simple jerk system with multiple attractors
- HOPF BIFURCATIONS AND THEIR DEGENERACIES IN CHUA'S EQUATION
- A novel 3D non-autonomous system with parametrically excited abundant dynamics and bursting oscillations
- Bifurcation to Quasi-Periodic Tori in the Interaction of Steady State and Hopf Bifurcations
- Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension
- DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM
- Pitchfork-bifurcation-delay-induced bursting patterns with complex structures in a parametrically driven Jerk circuit system
- NEURAL EXCITABILITY, SPIKING AND BURSTING
This page was built for publication: Bursting dynamics and the zero-Hopf bifurcation of simple jerk system
