Canards and curvature: the ‘smallness of ε ’ in slow–fast dynamics
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Publication:3104857
DOI10.1098/rspa.2011.0053zbMath1228.34087OpenAlexW2103678332MaRDI QIDQ3104857
Mike R. Jeffrey, Mathieu Desroches
Publication date: 17 December 2011
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2011.0053
Bifurcation theory for ordinary differential equations (34C23) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)
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Cites Work
- The canard unchained or how fast/slow dynamical systems bifurcate
- Geometric singular perturbation theory for ordinary differential equations
- Canards for a reduction of the Hodgkin-Huxley equations
- Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example
- False bifurcations in chemical systems: canards
- A symptotic analysis of canards in the EOE equations and the role of the inflection line
- Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
- DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS
- Relaxation oscillation and canard explosion
- Canards in \(\mathbb{R}^3\)
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