Chaotification in the stretch-twist-fold (STF) flow

Chaotic behavior and detailed parameter analysis of stretch-twist-fold (STF) flow are investigated. STF flow is associated with fluid particle motion which naturally arises in the dynamo theory. It proposes a mechanism, by which a celestial bodies, such as earth and sun, can maintain and amplify the magnetic field continuously. Parameter analysis is performed using linearization theory for different choices of parameters. The existence of Heteroclinic trajectory of Sil'nikov type is proved using an undetermined coefficient method. It connects two non trivial equilibrium points. As a consequence, the Sil'nikov criterion guarantees that STF flow has Smale horseshoes chaos.

Chaotic behavior and detailedparameter analysis of stretch-twist-fold（STF）flow are investigated.STF flow is associated with fluid particle motion which naturally arises in the dynamo theory.It proposes a mechanism,by which a celestial bodies,such as earth and sun,can maintain and amplify the magnetic field continuously.Parameter analysis is performed using linearization the＇ory for different choices of parameters.The existenceofHeteroclinic trajectory of Sil＇nikov type is proved using an undetermined coefficient method.It connects two non trivial equilibrium points.As flow has Smale horses hoeschaos.the Sil＇nikov criterion guarantees that STF