Dichotomies and stability in singularly perturbed systems of O.D.E.

DOI10.1016/0362-546X(87)90103-9zbMath0696.34035OpenAlexW1996696223MaRDI QIDQ3472428

Claudio Lazzari, Flaviano Battelli

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90103-9

zbMATH Keywords

exponential dichotomytrichotomysingularly perturbed initial value problem

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Singular perturbations of ordinary differential equations (34D15)

Related Items (3)

Heteroclinic bifurcation and singularly perturbed boundary value problems ⋮ Bounded solutions to singularly perturbed systems of O. D. E ⋮ Exponential dichotomies and Melnikov functions for singularly perturbed systems

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric singular perturbation theory for ordinary differential equations
• Dichotomies in stability theory
• Exponential dichotomies and transversal homoclinic points
• Stability in systems with parameter
• Small periodic perturbations of an autonomous system with a stable orbit
• On limit cycles in systems of differential equations with a small parameter in the highest derivatives
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• Singular Perturbations on the Infinite Interval
• Properties of solutions of ordinary differential equations with small parameters

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