TY - JOUR A2 - Hao, Xinan AU - Qiao, Zhiqin AU - Xu, Yancong PY - 2012 DA - 2012/11/04 TI - Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems SP - 678252 VL - 2012 AB - The bifurcations near a primary homoclinic orbit to a saddle-center are investigated in a 4-dimensional reversible system. By establishing a new kind of local moving frame along the primary homoclinic orbit and using the Melnikov functions, the existence and nonexistence of 1-homoclinic orbit and 1-periodic orbit, including symmetric 1-homoclinic orbit and 1-periodic orbit, and their corresponding codimension 1 orcodimension 3 surfaces, are obtained. SN - 1085-3375 UR - https://doi.org/10.1155/2012/678252 DO - 10.1155/2012/678252 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -