A New Strange Nonchaotic Attractor-like

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. Keywords-Strange nonchaoitc attractors; T2 torus bifurcation; Neimark-Sacker bifurcation; Lyapunov exponents; Time delayed logistic equatio