论文信息 - Invariant manifolds in singular perturbation problems for ordinary differential equations

Invariant manifolds in singular perturbation problems for ordinary differential equations

Based on Fenichel's geometric idea, invariant manifold theory is applied to singular perturbation problems. This approach clarifies the nature of outer and inner solutions. A specific condition is given to ensure the existence of heteroclinic connections between normally hyperbolic invariant manifolds. A method to approximate the connections is also presented.

Kunimochi Sakamoto | K. Sakamoto

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