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A special type of attractor and transitions in a delayed system |
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| Authors: | Yongxiang Zhang Guiqin Kong Yandong Chu |
| Institution: | a College of Science, Shenyang Agricultural University, Shenyang 110161, China b Jiujiang Precision Measuring Technology Research Institute, Jiujiang 332000, China c Nonlinear Science Research Center, Lanzhou Jiaotong University, Lanzhou 730070, China d School of Mathematics, Physics and Software and Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China |
| Abstract: | We discuss strange nonchaotic attractors (SNAs) in addition to chaotic and regular attractors in a quasiperiodically driven system with time delays. A route and the associated mechanism are described for a special type of attractor called strange-nonchaotic-attractor-like (SNA-like) through T2 torus bifurcation. The type of attractor can be observed in large parameter domains and it is easily mistaken for a true SNA judging merely from the phase portrait, power spectrum and the largest Lyapunov exponent. SNA-like attractor is not strange and has no phase sensitivity. Conditions for Neimark-Sacker bifurcation are obtained by theoretical analysis for the unforced system. Complicated and interesting dynamical transitions are investigated among the different tongues. |
| Keywords: | 05 45 Ac 05 45 Df 05 45 Pq |
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