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access icon free Observation of robust chaos in 3D electronic system

Robust Chaos occurring in piecewise smooth dynamical systems is very important in practical applications. It is defined by the absence of periodic windows and coexisting attractors in some neighbourhood of the parameter space. In earlier works, the occurrence of robust chaos was reported in the context of piecewise linear 1D and 2D maps, and regions of occurrences have been investigated in 1D and 2D switching circuits. Here, it has been reported the first experimental observation of this phenomenon in a 3D electronic switching system and obtain the region of parameter space by constructing a discrete map of the system.

References

    1. 1)
      • 4. Seth, S., Banerjee, S.: ‘Experimental observation of multiple attractor bifurcation in an electronic circuit’, IEEE Trans. Circuits Syst. II, Express Briefs, 2018, 65, (9), pp. 12541258.
    2. 2)
      • 13. di Bernardo, M.:Normal forms of border collisions in high-dimensional nonsmooth maps’. Circuits and Systems, 2003. ISCAS'03. Proc. of the 2003 Int. Symp. on IEEE, Bangkok, Thailand, 2003, vol. 3, pp. IIIIII.
    3. 3)
      • 12. Banerjee, S., Chakrabarty, K.: ‘Nonlinear modeling and bifurcations in the boost converter’, IEEE Trans. Power Electron., 1998, 13, (2), pp. 252260.
    4. 4)
      • 8. Gardini, L., Tramontana, F., Banerjee, S.: ‘Bifurcation analysis of an inductorless chaos generator using 1d piecewise smooth map’, Math. Comput. Simul., 2014, 95, pp. 137145.
    5. 5)
      • 10. Seth, S., Banerjee, S.: ‘Study of an inductorless chaos generator’. Conf. on Nonlinear Systems & Dynamics IISER, Kolkata, 2016, vol. 16, p. 18.
    6. 6)
      • 5. Graczyk, J., Swiatek, G.: ‘Generic hyperbolicity in the logistic family’, Ann. Math., 1997, 146, (1), pp. 152.
    7. 7)
      • 11. Banerjee, S., Kastha, D., Das, S., et al: ‘Robust chaos-the theoretical formulation and experimental evidence’. Circuits and Systems, 1999. ISCAS'99. Proc. of the 1999 IEEE Int. Symp. on IEEE, Orlando, FL, USA, 1999, vol. 5, pp. 293296.
    8. 8)
      • 9. Mandal, S., Banerjee, S.: ‘Analysis and cmos implementation of a chaos-based communication system’, IEEE Trans. Circuits Syst. I, Regul.Pap., 2004, 51, (9), pp. 17081722.
    9. 9)
      • 14. Roy, I., Roy, A.R.: ‘Border collision bifurcations in three-dimensional piecewise smooth systems’, Int. J. Bifurcation Chaos, 2008, 18, (2), pp. 577586.
    10. 10)
      • 1. Hayes, S., Grebogi, C., Ott, E.: ‘Communicating with chaos’, Phys. Rev. Lett., 1993, 70, (20), p. 3031.
    11. 11)
      • 15. De, S., Dutta, P.S., Banerjee, S., et al: ‘Local and global bifurcations in three-dimensional, continuous, piecewise smooth maps’, Int. J. Bifurcation Chaos, 2011, 21, (6), pp. 16171636.
    12. 12)
      • 6. Banerjee, S., Yorke, J.A., Grebogi, C.: ‘Robust chaos’, Phys. Rev. Lett., 1998, 80, (14), p. 3049.
    13. 13)
      • 3. Kuroe, Y., Hayashi, S.: ‘Analysis of bifurcation in power electronic induction motor drive systems’. Power Electronics Specialists Conf., 1989. PESC'89 Record., 20th Annual IEEE. IEEE, Milwaukee, WI, USA, 1989, pp. 923930.
    14. 14)
      • 2. Deane, J.H., Hamill, D.C.: ‘Improvement of power supply emc by chaos’, Electron. Lett., 1996, 32, (12), p. 1046.
    15. 15)
      • 7. Banerjee, S., Grebogi, C.: ‘Border collision bifurcations in two-dimensional piecewise smooth maps’, Phys. Rev. E, 1999, 59, (4), p. 4052.
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