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Infinite-Scroll Attractor Generated by the Complex Pendulum Model

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  • Sachin Bhalekar

Abstract

We report the finding of the simple nonlinear autonomous system exhibiting infinite-scroll attractor. The system is generated from the pendulum equation with complex-valued function. The proposed system is having infinitely many saddle points of index two which are responsible for the infinite-scroll attractor.

Suggested Citation

  • Sachin Bhalekar, 2013. "Infinite-Scroll Attractor Generated by the Complex Pendulum Model," International Journal of Analysis, Hindawi, vol. 2013, pages 1-3, March.
    • Handle: RePEc:hin:ijanal:368150
    DOI: 10.1155/2013/368150
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    References listed on IDEAS

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    1. M. Mahmoud, Gamal & A. Mohamed, Ahmed & A. Aly, Shaban, 2001. "Strange attractors and chaos control in periodically forced complex Duffing's oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 193-206.
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