Sufficient conditions and criteria for the pulse-shaped explosion related to equilibria in a class of nonlinear systems
From MaRDI portal
Publication:2679917
DOI10.1016/j.chaos.2022.112749OpenAlexW4306247455MaRDI QIDQ2679917
Mengke Wei, Xiujing Han, Qinsheng Bi
Publication date: 26 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.2022.112749
multiple-frequency slow excitationspulse-shaped explosioncriteria for different pulse-shaped explosion patternssufficient conditions for pulse-shaped explosion
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)
Cites Work
- Multiple time scale dynamics
- Nonlinear normal modes of a self-excited system driven by parametric and external excitations
- Parametric self-excited nonlinear system vibrations analysis with inertial excitation
- Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations
- Stochastic spiking-bursting transitions in a neural birhythmic 3D model with the Lukyanov-Shilnikov bifurcation
- Emergence of bursting in two coupled neurons of different types of excitability
- Spike-adding structure in fold/hom bursters
- Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation
- Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel ``Hopf/Hopf-hysteresis-induced bursting and complex AMB rhythms
- Mixed-Mode Oscillations with Multiple Time Scales
- Bursting Types and Bifurcation Analysis in the Pre-Bötzinger Complex Respiratory Rhythm Neuron
- Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator
- NEURAL EXCITABILITY, SPIKING AND BURSTING