Basit kaotik sistemler

Jerk dynamics is third-order explicit autonomous differential equations, and animportant tool to understand the properties of functionally very simple but nonlinearthree-dimensional dynamical systems that can exhibit chaotic long time behavior.The subclass Newtonian jerky dynamics is a jerky dynamics that can be derived fromone-dimensional Newton equation and constitute simple extensions of the well-knownoscillator dynamics to the third-order differential equations that can be non-steady andnon-periodic bounded long time dynamics. In this thesis, an algebraically simple system,the Genesio system is recast into a jerky dynamics and it is showed that its jerkfunction is a Newtonian jerky. Moreover, the global dynamical properties of the Genesiosystem are investigated as a jerky dynamics by numerical examinations.Anahtar Kelimeler: Kaos, Jerk dinamigi, Newton jerk dinami ? gi, Cebirsel olarak basit ?sistemler, Dinamik ozellikler