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- Title
THE ELLIPTIC AND HYPERBOLIC FIXED POINTS IN THE HENON- HEILES POTENTIAL.
- Authors
Suleiman, Abdussalam Balarabe; Mu'azu, Alhassan
- Abstract
In this report the trajectories in the Henon-Heiles potential V(x,y)=1/2(x2 + y2) + x2y-y3/3 were integrated using the fourth order Runge-Kutta algorithm at some fixed energy levels while the initial conditions of the position [y] and the momentum conjugate [Py] were varied, the corresponding Poincare maps (surface of sections) were plotted which satisfies the condition for a dynamical system to be chaotic.
- Subjects
RUNGE-Kutta formulas; POINCARE maps (Mathematics); DYNAMICAL systems; CHAOS theory; HYPERBOLIC functions; TOPOLOGY
- Publication
Bayero Journal of Pure & Applied Sciences, 2013, Vol 6, Issue 1, p17
- ISSN
2006-6996
- Publication type
Article
- DOI
10.4314/bajopas.v6i1.4