Constructing the Second Order Poincaré Map Based on the Hopf-Zero Unfolding Method
We investigate the Shilnikov sense homoclinicity in a 3D system and consider the dynamical behaviors in vicinity of the principal homoclinic orbit emerging from a third order simplified system. It depends on the application of the simplest normal form theory and further evolution of the Hopf-zero si...
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Main Authors: | Gen Ge, Wang Wei |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/294162 |
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