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Comparison Analysis of Behavior between Differential Equation and Fractional Differential Equation in the Van der Pol Equation
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 Title & Authors
Comparison Analysis of Behavior between Differential Equation and Fractional Differential Equation in the Van der Pol Equation
Bae, Young-Chul;
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 Abstract
Three hundred years ago, the fractional differential equation that is one of concept of fractional calculus released. Now, many researchers continue to try best effort applying into the control engineering, mathematics and physics. In this paper, the dynamics equation which is represented by Van der Pol, represent integer order and fractional order that having real order. Then this paper performs the comparisons between integer and real order as time series and phase portrait according to variation of parameter value for real order.
 Keywords
Fractional Order;Van Der Pol Equation;Limit Cycle Behavior;Time Series;Phase Portrait;
 Language
Korean
 Cited by
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