Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities
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Publication:6493945
DOI10.1007/S00332-024-10033-7MaRDI QIDQ6493945
Naziru M. Awal, Irving R. Epstein, Theodore Vo, Tasso J. Kaper
Publication date: 29 April 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)
Cites Work
- Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model
- Multiple time scale dynamics
- Local analysis near a folded saddle-node singularity
- Coupled nonlinear oscillators and the symmetries of animal gaits
- Synchronization of weakly coupled canard oscillators
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Excitable neurons, firing threshold manifolds and canards
- Spike-adding in parabolic bursters: the role of folded-saddle canards
- À propos de canards (Apropos canards)
- Canards of Folded Saddle-Node Type I
- Non-standard analysis and singular perturbations of ordinary differential equations
- Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model
- Numerical continuation of canard orbits in slow–fast dynamical systems
- The Geometry of Slow Manifolds near a Folded Node
- The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators
- Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
- Canard Cycles
- Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron
- Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes
- Canards in \(\mathbb{R}^3\)
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