Slow-Fast Dynamical Systems
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".
Deadline for manuscript submissions: closed (31 January 2022)
Special Issue Information
Dear Colleagues,
Slow–fast systems, i.e., nonlinear dynamic systems in which two or more variables are governed by very different time scales, appear in many branches of natural science. Examples are found in chemical systems (the most familiar of which is the Belousov–Zhabotinsky reaction), in models of the electrical activity of neuron and cardiac cells, population dynamics, plasma physics, lasers, and nonlinear optical systems, to name just a few. Mathematically, they are typically characterized by the existence of critical manifolds on which the slow dynamics takes place.
The geometry, stability and symmetry properties of these sets are at the origin of a wealth of dynamical phenomena including canard orbits, special trajectories following a repelling slow manifold for a considerable amount of time, and complex oscillatory patterns that can either be periodic or chaotic. This Special Issue is intended to collect contributions on slow–fast dynamics at mathematical, numerical, and experimental levels, with models and experiments ranging from biology to chemistry to physics.
Topics of interest include, but are not limited to, canard explosions and excitability in higher dimensions, bursting and mixed-mode oscillations, symmetries in the context of singular perturbation problems, symmetry-breaking phenomena, model-reduction techniques, etc. Both research and review papers are welcomed.
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.
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Keywords
- singularly-perturbed systems and symmetry
- canard explosions
- invariant manifolds
- mixed-mode oscillations and bursting
- networks
- slow-fast dynamics and symmetries of the limiting problems
- slow-fast Hamiltonian systems and slow evolution to symmetry
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