Mixed-mode oscillations in a piecewise linear system with multiple time scale coupling
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Publication:1999951
DOI10.1016/j.physd.2016.06.002zbMath1415.34068OpenAlexW2412639298MaRDI QIDQ1999951
Publication date: 27 June 2019
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01342978/file/mmo-pwl-multiple-timescales.pdf
coupled oscillatorspiecewise linear systemsmixed-mode oscillationsslow-fast dynamicssecondary canards
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Multifrequency systems of ordinary differential equations (34C46)
Related Items (4)
Periodic Orbit Bifurcations in Planar Hysteretic Systems without Equilibria ⋮ Periodic orbits in hysteretic systems with real eigenvalues ⋮ A direct transition to chaos in hysteretic systems with focus dynamics ⋮ Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
Cites Work
- Unnamed Item
- Canard trajectories in 3D piecewise linear systems
- Slow-fast \(n\)-dimensional piecewise linear differential systems
- Geometric singular perturbation theory for ordinary differential equations
- Duck-shaped solutions and winding.
- Nagumo's equation
- Canard-Mediated (De)Synchronization in Coupled Phantom Bursters
- Canard solutions in planar piecewise linear systems with three zones
- Canards in piecewise-linear systems: explosions and super-explosions
- Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
- Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System
- A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System
- Mathematical Modeling of the GnRH Pulse and Surge Generator
- Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
- Foliation-Based Parameter Tuning in a Model of the GnRH Pulse and Surge Generator
- Relaxation oscillation and canard explosion
- Canards in \(\mathbb{R}^3\)
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