Small perturbation of excitation frequency leads to complex fast-slow dynamics
DOI10.1016/j.chaos.2022.112516OpenAlexW4292466874MaRDI QIDQ2677488
Yong Zou, Xiujing Han, Jin Song, Qinsheng Bi
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.2022.112516
Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Multiple scale methods for ordinary differential equations (34E13) Canard solutions to ordinary differential equations (34E17)
Cites Work
- Multiple time scale dynamics
- Bursting oscillations in Duffing's equation with slowly changing external forcing
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Generic torus canards
- Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis
- Frequency-truncation fast-slow analysis for parametrically and externally excited systems with two slow incommensurate excitation frequencies
- Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel ``Hopf/Hopf-hysteresis-induced bursting and complex AMB rhythms
- YET ANOTHER CHAOTIC ATTRACTOR
- Mixed-mode dynamics of certain bistable oscillators: behavioural mapping, approximations for motion and links with van der Pol oscillators
- NEURAL EXCITABILITY, SPIKING AND BURSTING
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