Chaos is considered to be one of the most important branches of nonlinear science which began at sixties, founded by the American meteorologists E.N.Lorenz. Nonlinear phenomenon would also appear in underwater acoustic problem because of the ship radiated noise. In recent years, chaos control and anti-control have made significant progress and many methods were proposed in the 20th century. The primary condition for achieving chaos is to change the system parameters or introduce on external disturbance and establish the sensitivity to the initial conditions. There are many chaotic systems in nature, such as the Doffing equation, the Van der pol equation, the Lorenz equation and so on. In this paper, we applied theoretical and simulated technique in STF system. The distinction between slow and fast dynamos was first drawn by Vainshtein & Zeldovich (1972) in this research; we describe the stretch-twist-fold (STF) fast dynamo, which is the archetype of the elementary models of the process.
- Salah Ud-Din Khan, Shahab Ud-Din Khan, “Equating heteroclinic orbits in Chen System by using Scaling Logarithm Change Series (SLS) method” Applied Mechanics and Materials Vol. 598. pp 414-417. 2014
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- Shahab Ud-Din Khan, S.Yonglu, Salah Ud-Din Khan, “Stability and Unstability of Chaos in Stretch-Twist- Fold flow (STF)”, Advanced Materials Research, Vols. 631-632, pp 1436-1440, 2013
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- Shahab Ud-Din Khan, S.Yonglu, Salah Ud-Din Khan, “Complex dynamics of continuous-time autonomous chaotic system”, International Journal of Physics and Mathematical Sciences, Vol. 2 (3), pp.108-114, 2012
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- Shahab Ud-Din Khan, S.Yonglu, Salah Ud-Din Khan, “Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods”, World Journal of Mechanics, Vol. 2 No.6, 334-338, 2012
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The research team show their gratitude and sincere appreciation to Department of Mathematics for support of this research.
- STF System
- Software Technique
- Analytical Solution
- MATLAB Program
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We wish to confirm that there are no known conflicts of interest associated with this publication and there has been no significant financial support for this work that could have influenced its outcome.

