Eur. Phys. J. Plus (2017) 132: 219
https://doi.org/10.1140/epjp/i2017-11487-7

Regular Article

Dynamical and fractal properties in periodically forced stretch-twist-fold (STF) flow

Department of Applied Mathematics & Statistics, Institute of Space Technology, Islamabad, Pakistan

^* e-mail: medraqeel@gmail.com

Received: 10 March 2017
Accepted: 4 April 2017
Published online: 18 May 2017

Abstract

The periodically forced stretch-twist-fold (STF) flow is introduced in this article. The nonlinear behavior of the STF flow with periodic force along the y -axis is investigated analytically and numerically. The STF flow is a prototype of the dynamo theory that proposes a mechanism of magnetic field generation continuously. The stability analysis is done by Routh Huwritz criteria and Cardano method. Chasing chaos through numerical simulation is determined to demonstrate the chaotic behavior of the forced STF flow. With the help of fractal processes based on the forced STF flow, a multi-wing forced STF flow is obtained that gives a n -wing forced STF flow system.