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http://dx.doi.org/10.13067/JKIECS.2015.10.12.1389

Analysis of Chaotic Behavior in Fractional Duffing Equation  

Bae, Young-Chul (Division of Electrical.Electronics Communication and Computer Engineering, Chonnam National University)
Publication Information
The Journal of the Korea institute of electronic communication sciences / v.10, no.12, 2015 , pp. 1389-1394 More about this Journal
Abstract
Recently many effort appears applying the concept of fractional calculus that can be represented by fractional differential equation in the control engineering, physics and mathematics. This paper describes the fractional order with real order for Duffing equation which can be represented by integer order. This paper also confirms the existence of chaotic behaviors by using time series and phase portrait with varying the parameter of real order.
Keywords
Fractional Order; Duffing Equation; Chaotic Behavior; Time Series; Phase Portrait;
Citations & Related Records
Times Cited By KSCI : 13  (Citation Analysis)
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