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Complex Dynamics in Generalized Hénon Map
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-10
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The complex dynamics of generalizedHénon map with nonconstant Jacobian determinant areinvestigated.
The conditions of existence for fold bifurcation,flip bifurcation, and Hopf bifurcation are derived by using centermanifold theorem and bifurcation theory and checked up bynumerical simulations.
Chaos in the sense of Marotto's definitionis proved by analytical and numerical methods.
The numericalsimulations show the consistence with the theoretical analysis andreveal some new complex phenomena which can not be given bytheoretical analysis, such as the invariant cycles which areirregular closed graphics, the six and forty-one coexistinginvariant cycles, and the two, six, seven, nine, ten, and thirteencoexisting chaotic attractors, andsome kinds of strange chaotic attractors.
American Psychological Association (APA)
Cai, Meixiang. 2015. Complex Dynamics in Generalized Hénon Map. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1060442
Modern Language Association (MLA)
Cai, Meixiang. Complex Dynamics in Generalized Hénon Map. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-18.
https://search.emarefa.net/detail/BIM-1060442
American Medical Association (AMA)
Cai, Meixiang. Complex Dynamics in Generalized Hénon Map. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1060442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060442