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Reduced Order Modeling of Nonlinear Dynamical Systems Using Slow Manifolds

math.DS · 2025-07-15 · unverdicted · novelty 5.0

The work defines slow manifolds via unstable-stable manifold intersections and applies the isostable framework to produce reduced models for Hodgkin-Huxley neuron networks and a detailed circadian oscillator, illustrated on two control tasks.

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  • Reduced Order Modeling of Nonlinear Dynamical Systems Using Slow Manifolds math.DS · 2025-07-15 · unverdicted · none · ref 29

    The work defines slow manifolds via unstable-stable manifold intersections and applies the isostable framework to produce reduced models for Hodgkin-Huxley neuron networks and a detailed circadian oscillator, illustrated on two control tasks.