A New Strange Nonchaotic Attractor-like
- DOI
- 10.2991/meic-14.2014.207How to use a DOI?
- Keywords
- Strange nonchaoitc attractors; T2 torus bifurcation; Neimark-Sacker bifurcation; Lyapunov exponents; Time delayed logistic equation
- Abstract
Strange nonchaotic attractors exist in quasiperiodically forced system universally, which have fractal structure in geometry but no sensitivity to initial value, which also are among the international hotspot issues studied by nonlinear kinetics for the recent ten years. Many scholars have done a lot of research and made gratifying achievements, evolved process and mechanism of which should be further studied and explored on the hand. Two kinds of quasiperiodically forced circuit system and time-lagged Logistic system are studied in this paper. From numerical simulation by changing parameters in the system, a new type of SNA shaped "tire " or "conduit ", evolved from T2 torus bifurcation is found, being distinguished from others for its wide range of parameter space and fractal phase space structure of a particular shape. The study indicates that this attractor exists in general Neimark-Sacker bifurcation system. The study also brings new phenomena of dynamical system to light, suggesting its wide application prospects.
- Copyright
- © 2014, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Mei Lin AU - Guangshun Song AU - Yongqiang Liu AU - Yanbo Zhu AU - Xiaolu Zhang PY - 2014/11 DA - 2014/11 TI - A New Strange Nonchaotic Attractor-like BT - Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering PB - Atlantis Press SP - 926 EP - 930 SN - 2352-5401 UR - https://doi.org/10.2991/meic-14.2014.207 DO - 10.2991/meic-14.2014.207 ID - Lin2014/11 ER -