An efficient approach to solving fractional Van der Pol-Duffing jerk oscillator  被引量:2

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作  者:Yusry O El-Dib 

机构地区:[1]Department of Mathematics,Faculty of Education,Ain Shams University,Roxy,Cairo,Egypt

出  处:《Communications in Theoretical Physics》2022年第10期50-59,共10页理论物理通讯(英文版)

摘  要:The motive behind the current work is to perform the solution of the Van der Pol–Duffing jerk oscillator,involving fractional-order by the simplest method.An effective procedure has been introduced for executing the fractional-order by utilizing a new method without the perturbative approach.The approach depends on converting the fractional nonlinear oscillator to a linear oscillator with an integer order.A detailed solving process is given for the obtained oscillator with the traditional system.

关 键 词:Van der Pol oscillator Duffing jerk oscillator fractional oscillator non-perturbative approach numerical simulation 

分 类 号:TN752[电子电信—电路与系统] O175[理学—数学]

 

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