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On the Uçar prototype model with incommensurate delays

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Abstract

Differential-difference equations with multiple delays have applications in a variety of applied fields. We propose a prototype delay model introduced by Uçar involving two delays. Sufficient conditions for the stability of the model are given and used to study chaos. It is observed first time in the literature that the Uçar system shows not only two-scroll but also one-scroll chaotic attractors.

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Acknowledgments

Author is grateful to the anonymous referees for their insightful comments leading to the improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur , 416004, India

    Sachin Bhalekar

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  1. Sachin Bhalekar
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Correspondence to Sachin Bhalekar.

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Bhalekar, S. On the Uçar prototype model with incommensurate delays. SIViP 8, 635–639 (2014). https://doi.org/10.1007/s11760-013-0595-2

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