Homoclinic orbits in generalized planar system of Liénard type
Künye
Gharahasanlou, T. K. & Roomi, V. (2025). Homoclinic orbits in generalized planar system of Liénard type. TWMS Journal of Applied and Engineering Mathematics, 15(3), 675-687.Özet
In this manuscript a generalized Liénard system will be considered. First, the existence and uniqueness of the solutions of the related initial value problem will be proven. Given some definitions, a necessary and sufficient condition for property (Z⁺₁)will be presented. Some explicit conditions will also be given for the system to have or fail to have properties (Z⁺₁). These results are very sharp and extend and improve the previous results in this subject. Finally, a necessary and sufficient condition will be presented about the existence and nonexistence of homoclinic orbits in the upper or lower half-plane. At the end, some examples will be provided to illustrate our results.
Cilt
15Sayı
3Bağlantı
https://jaem.isikun.edu.tr/web/index.php/current/129-vol15no3/1357http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6453
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