An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator
Yusry O. El‐Dib
Abstract
Abstract 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.
Topics & Concepts
Van der Pol oscillatorJerkDuffing equationOrder (exchange)Integer (computer science)PhysicsNonlinear systemApplied mathematicsMathematicsComputer scienceClassical mechanicsQuantum mechanicsAccelerationProgramming languageEconomicsFinanceFractional Differential Equations SolutionsAdvanced Control Systems DesignChaos control and synchronization