Constructing the Second Order Poincaré Map Based on the Hopf-Zero Unfolding Method
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 singularity unfolding.
For the Shilnikov sense homoclinic orbit, the complex form analytic expression is accomplished by using the power series of the manifolds surrounding the saddle-focus equilibrium.
Then, the second order Poincaré map in a generally analytical style helps to portrait the double pulse dynamics existing in the tubular neighborhood of the principal homoclinic orbit.
American Psychological Association (APA)
Ge, Gen& Wei, Wang. 2013. Constructing the Second Order Poincaré Map Based on the Hopf-Zero Unfolding Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-461113
Modern Language Association (MLA)
Ge, Gen& Wei, Wang. Constructing the Second Order Poincaré Map Based on the Hopf-Zero Unfolding Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-461113
American Medical Association (AMA)
Ge, Gen& Wei, Wang. Constructing the Second Order Poincaré Map Based on the Hopf-Zero Unfolding Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-461113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461113