Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems | Zendy

Zhiqin Qiao | Zendy; Yancong Xu | Zendy

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Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems

Author(s) -

Zhiqin Qiao,

Yancong Xu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/678252

Subject(s) - homoclinic orbit , heteroclinic orbit , homoclinic bifurcation , orbit (dynamics) , codimension , saddle , mathematics , mathematical analysis , periodic orbits , bifurcation , physics , quantum mechanics , nonlinear system , mathematical optimization , engineering , aerospace engineering

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

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