Bifurcation and chaotic dynamics of homoclinic systems in ℝ3 |
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Authors: | Jianhua Sun |
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Institution: | (1) Department of Mathematics, Nanjing University, 210008 Nanjing, People's Republic of China |
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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. |
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