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Experimental distinction between chaotic and strange nonchaotic attractors on the basis of consistency
10. A. Bondeson, E. Ott, and T. M. Antonsen, “ Quasiperiodically forced damped pendula and Schrödinger equations with quasiperiodic potentials: Implications of their equivalence,” Phys. Rev. Lett. 55, 2103 (1985).
15. A. Venkatesan and M. Lakshmanan, “ Different routes to chaos via strange nonchaotic attractors in a quasiperiodically forced system,” Phys. Rev. E 58, 3008 (1998).
20. F. Romeiras, A. Bondeson, E. Ott, T. Antonsen, Jr., and C. Grebogi, “ Quasiperiodically forced dynamical systems with strange nonchaotic attractors,” Physica D 26, 277 (1987).
21. K. Suresh, A. Prasad, and K. Thamilmaran, “ Birth of strange nonchaotic attractors through formation and merging of bubbles in a quasiperiodically forced Chua's oscillator,” Phys. Lett. A 377, 612 (2013).
22. K. Thamilmaran, D. Senthilkumar, A. Venkatesan, and M. Lakshmanan, “ Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit,” Phys. Rev. E 74, 036205 (2006).
25. D. Senthilkumar, K. Srinivasan, K. Thamilmaran, and M. Lakshmanan, “ Bubbling route to strange nonchaotic attractor in a nonlinear series LCR circuit with a nonsinusoidal force,” Phys. Rev. E 78, 066211 (2008).
28. U. Feudel, S. Kuznetsov, and A. Pikovsky, Strange Nonchaotic Attractors: Dynamics between Order and Chaos in Quasiperiodically Forced Systems, World Scientific Series on Nonlinear Science, Series A, Vol. 56 (World Scientific Singapore, 2006).
32. J. Shuai, J. Lian, P. Hahn, and D. Durand, “ Positive Lyapunov exponents calculated from time series of strange nonchaotic attractors,” Phys. Rev. E 64, 026220 (2001).
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We experimentally study strange nonchaotic attractors (SNAs) and chaotic attractors by using a nonlinear integrated circuit driven by a quasiperiodic input signal. An SNA is a geometrically strange attractor for which typical orbits have nonpositive Lyapunov exponents. It is a difficult problem to distinguish between SNAs and chaotic attractors experimentally. If a system has an SNA as a unique attractor, the system produces an identical response to a repeated quasiperiodic signal, regardless of the initial conditions, after a certain transient time. Such reproducibility of response outputs is called consistency. On the other hand, if the attractor is chaotic, the consistency is low owing to the sensitive dependence on initial conditions. In this paper, we analyze the experimental data for distinguishing between SNAs and chaotic attractors on the basis of the consistency.
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