Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators
Joint Authors
Chen, Yang-Yang
Chen, Shu-Hui
Wang, Wei-Wei
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The exact and explicit homoclinic solution of the undamped Helmholtz-Duffing oscillator is derived by a presented hyperbolic function balance procedure.
The homoclinic solution of the self-excited Helmholtz-Duffing oscillator can also be obtained by an extended hyperbolic perturbation method.
The application of the present homoclinic solutions to the chaos prediction of the nonautonomous Helmholtz-Duffing oscillator is performed.
Effectiveness and advantage of the present solutions are shown by comparisons.
American Psychological Association (APA)
Chen, Yang-Yang& Chen, Shu-Hui& Wang, Wei-Wei. 2015. Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators. Shock and Vibration،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1120104
Modern Language Association (MLA)
Chen, Yang-Yang…[et al.]. Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators. Shock and Vibration No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1120104
American Medical Association (AMA)
Chen, Yang-Yang& Chen, Shu-Hui& Wang, Wei-Wei. Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators. Shock and Vibration. 2015. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1120104
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120104
