Quasi-homoclinic solutions to a system of ODEs

• Autorzy: Kaźmierczak B.
• Języki publikacji: EN

Abstrakty

EN

This paper considers the problem of existence of "quasi-homoclinic" solution to a system of three first order ODEs containing a small parameter. These equations describe travelling wave solutions to a one-temperature model of laser-sustained plasma with absorption. This solution is homoclinic with respect to the first two variables. We use the methods of geometric singular perturbation theory to prove the existence of strictly homoclinic trajectory and then prove that it implies the existence of the desired solution.

Słowa kluczowe

EN

exchange lemma; homoclinic solution; laser-sustained plasma; singular perturbation

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 1999
• Tom: Vol. 51, nr 1
• Strony: 105--120
• Opis fizyczny: Bibliogr. 10 poz.,

Twórcy

autor

Kaźmierczak B.

• Polish Academy of Sciences, Institute of Fundamental Technological Research Centre of Mechanics IFTR-PAS, Świętokrzyska 21, 00-049 Warszawa, Poland