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• W3175961006 abstract "Slow–fast dynamical systems, i.e. singularly or nonsingularly perturbed dynamical systems possess slow invariant manifolds on which trajectories evolve slowly. Since the last century various methods have been developed for approximating their equations. This paper aims, on the one hand, to propose a classification of the most important of them into two great categories: singular perturbation-based methods and curvature-based methods, and on the other hand, to prove the equivalence between any methods belonging to the same category and between the two categories. Then, a deep analysis and comparison between each of these methods enable to state the efficiency of the Flow Curvature Method which is exemplified with paradigmatic Van der Pol singularly perturbed dynamical system and Lorenz slow–fast dynamical system." @default.
• W3175961006 created "2021-07-05" @default.
• W3175961006 creator A5022341742 @default.
• W3175961006 date "2021-06-15" @default.
• W3175961006 modified "2023-10-03" @default.
• W3175961006 title "Slow Invariant Manifolds of Slow–Fast Dynamical Systems" @default.
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• W3175961006 doi "https://doi.org/10.1142/s0218127421501121" @default.
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