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Differential Equations

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Differential Equations

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Research Frontiers in Geometric Singular Perturbation Theory Applications

Study of dynamical systems with multiple time scales using geometric desingularization and slow-fast dynamics.

Slow-Fast Dynamics in Biological Neural Networks
Canard Explosions and Their Physical Manifestations
Blowup Mechanisms in Climate Tipping Points
Hysteresis Phenomena in Multiscale Chemical Reactions
Geometric Control of Relaxation Oscillations
Singular Perturbations in Predator-Prey Ecosystems
Entry-Exit Dynamics Near Manifold Bifurcations
Desingularization Techniques for Stochastic Fast-Slow Systems
Mixed-Mode Oscillations in Cardiac Electrophysiology
Homoclinic Bifurcations Across Multiple Time Scales

All Differential Equations PhD categories