TY - JOUR AU - Dinh, Nguyen Van PY - 2007/09/22 Y2 - 2024/03/29 TI - A note on the Melnikov function JF - Vietnam Journal of Mechanics JA - Vietnam J. Mech. VL - 29 IS - 3 SE - Research Article DO - 10.15625/0866-7136/29/3/5540 UR - https://vjs.ac.vn/index.php/vjmech/article/view/5540 SP - 285-291 AB - With one (Poincaré section) parameter and a particular motion law (that associated to certain determined point of horno-heteroclinic orbits), the usual form of the Melnikov function seems to be not convenient for certain problems. Another favorable form can be obtained by using a supplementary parameter - the arbitrary time constant in the general mentioned motion law. ER -