Bifurcation and Chaotic Dynamics of Homoclinic Systems in .³

Authors
Jianhua, Sun
Citation
Jianhua, Sun, Bifurcation and Chaotic Dynamics of Homoclinic Systems in .³, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 11(2), 1995, pp. 128-136
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
11
Issue
2
Year of publication
1995
Pages
128 - 136
Database
ACNP
SICI code
Abstract
We consider perturbations which may or may not depend explicitly on time for the three-dimensional homoclinic systems. We obtain the existence and bifurcation theorems for transversal homoclinic points and homoclinic orbits, and illustrate our results with two examples.