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/).

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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  -