Numerical simulation of the chaotic behaviour of a three-dimensional pendulum

• Autorzy: Kawalec D. , Paździerko A. , Kułakowski K.
• Języki publikacji: EN

Abstrakty

EN

A nonlinear pendulum is designed to demonstrate the chaotic instability of trajectories. Here, we present a simplified theoretical description of its dynamics. Trajectories are found by numerical integration of the Lagrange equations. The results of the simulations agree with the Poincare-Bendixon theorem. Generic trajectories display chaotic behaviour and are similar to those obtained experimentally.

Słowa kluczowe

EN

chaos; dynamical systems

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2003
• Tom: Vol. 7, No 2
• Strony: 179--184
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Kawalec D.

• Faculty of Physics and Nuclear Techniques, University of Mining and Metallurgy, Mickiewicza 30, 30-059 Cracow, Poland

autor

Paździerko A.

• Faculty of Physics and Nuclear Techniques, University of Mining and Metallurgy, Mickiewicza 30, 30-059 Cracow, Poland

autor

Kułakowski K.

• Faculty of Physics and Nuclear Techniques, University of Mining and Metallurgy, Mickiewicza 30, 30-059 Cracow, Poland

• Faculty of Physics and Nuclear Techniques, University of Mining and Metallurgy [AGH], al. Mickiewicza 30, 30-059 Cracow, Poland,

Bibliografia

• [1] The experiment was presented during theXXXVI Meeting of the Polish Physical Society,Torun, 17–20 September 2001
• [2] Glendinning P 1994 Stability, Instability and Chaos: An Introduction to the TheoryofNonlinear Differential Equations, Cambridge UP, Cambridge
• [3] Clerc M, Coullet P and Tirapegui E 1999 Phys. Rev. Lett.833820
• [4] Bennetin G, Galgani L and Strelcyn J M 1976 Phys. Rev.A 142338