Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-04-24
Comm.Non.Sci. and Num.Sim. 8 (3-4), 355 (2003)
Nonlinear Sciences
Chaotic Dynamics
To appear in Communications in Nonlinear Science and Numerical Simulation Vol.8 (2003); Figures 11,14,15,16 of better resoluti
Scientific paper
10.1016/S1007-5704(03)00054-6
In the present paper, we study the Poincare map associated to a periodic perturbation, both in space and time, of a linear Hamiltonian system. The dynamical system embodies the essential physics of stellar pulsations and provides a global and qualitative explanation of the chaotic oscillations observed in some stars. We show that this map is an area preserving one with an oscillating rotation number function. The nonmonotonic property of the rotation number function induced by the triplication of the elliptic fixed point is superposed on the nonmonotonic character due to the oscillating perturbation. This superposition leads to the co-manifestation of generic phenomena such as reconnection and meandering, with the nongeneric scenario of creation of vortices. The nonmonotonic property due to the triplication bifurcation is shown to be different from that exhibited by the cubic Henon map, which can be considered as the prototype of area preserving maps which undergo a triplication followed by the twistless bifurcation. Our study exploits the reversibility property of the initial system, which induces the time-reversal symmetry of the Poincare map.
Garcia-Berro Enrique
Jose Jordi
Munteanu Andreea
Petrisor Emilia
No associations
LandOfFree
Creation of twistless circles in a model of stellar pulsations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Creation of twistless circles in a model of stellar pulsations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Creation of twistless circles in a model of stellar pulsations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-519808