Skip Nav Destination
ASME Press Select Proceedings
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)
Editor
V. E. Muhin ,
V. E. Muhin
National Technical University of Ukraine
Search for other works by this author on:
ISBN:
9780791859742
No. of Pages:
656
Publisher:
ASME Press
Publication date:
2011
eBook Chapter
95 Numerical Study of Limit Cycles for Three Planar Polynomial Systems
By
Xiao-Chun Hong
,
Xiao-Chun Hong
School of Mathematics and Information Science,
Qujing Normal University
, Qujing Yunnan 655011
, P. R. China
; xchhong@sina.com.cn
Search for other works by this author on:
Bo Wu
Bo Wu
Department of Mathematics,
Simao Teacher's College
, Puer Yunnan 665000
, P. R. China
; ynsmwb@sina.com.cn
Search for other works by this author on:
Page Count:
4
-
Published:2011
Citation
Hong, X, & Wu, B. "Numerical Study of Limit Cycles for Three Planar Polynomial Systems." International Conference on Information Technology and Computer Science, 3rd (ITCS 2011). Ed. Muhin, VE, & Hu, WB. ASME Press, 2011.
Download citation file:
Bifurcation of limit cycles for three planar polynomial systems is investigated by using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the planar polynomial systems. The study reveals that the perturbed Hamiltonian system (5) has only 3 limit cycles, whereas each of the two perturbed integrable non-Hamiltonian systems (6)–(7) has 4 limit cycles. By using method of numerical simulation, the distributed orderliness of these limit cycles is observed, and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point.
Abstract...
This content is only available via PDF.
You do not currently have access to this chapter.
Email alerts
Related Chapters
Orthogonal Polynomial and Treatment Quantification for Missing Data
Taguchi Methods: Benefits, Impacts, Mathematics, Statistics and Applications
Conclusions
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Scalable Video Streaming Multicast of Multiple Groups over Broadband Wireless Networks
International Conference on Computer Engineering and Technology, 3rd (ICCET 2011)
DNA Sequencing and the Shortest Superstring Problem
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)
Related Articles
Nonlinear Vibration of Parametrically Excited, Viscoelastic, Axially Moving Strings
J. Appl. Mech (May,2005)
Hopf Instabilities in Free Piston Stirling Engines
J. Comput. Nonlinear Dynam (April,2014)
Phase-Locked Mode Stability for Coupled van der Pol Oscillators
J. Vib. Acoust (July,2000)