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Dynamical analysis of fractional order Uçar prototype delayed system

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Abstract

Chaotic dynamics of the fractional order Uçar system involving time delay is studied. Modified Adams–Bashforth–Moulton method is used for numerical simulations. Effect of fractional order and delay on chaotic behavior of the system is studied. The two-scroll attractor is observed in the system for the range of fractional order 0.5 < α ≤ 1. For the range 0.2 ≤ α ≤ 0.5, same system shows one-scroll attractor.

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  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. Dynamical analysis of fractional order Uçar prototype delayed system. SIViP 6, 513–519 (2012). https://doi.org/10.1007/s11760-012-0330-4

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  • DOI: https://doi.org/10.1007/s11760-012-0330-4

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