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On chaotic behavior of gravitating stellar shells
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10.1063/1.1828991
/content/aip/journal/chaos/15/1/10.1063/1.1828991
http://aip.metastore.ingenta.com/content/aip/journal/chaos/15/1/10.1063/1.1828991
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color). Trajectories of five initial points (three chaotic, two regular) under the action of Poincaré return map in the domain where lines are of the type A. , , .

Image of FIG. 2.
FIG. 2.

Maximal values of for the invariant curves enclosing cylinder and minimal value of such that there are no visible islands at bigger values of . The line is of the type A.

Image of FIG. 3.
FIG. 3.

(Color). Trajectories of seven initial points under the action of Poincaré return map in the domain where lines are of the type B and there are no visible escaping trajectories. , , , .

Image of FIG. 4.
FIG. 4.

(Color online). The structure of invariant set from Fig. 3 under magnification.

Image of FIG. 5.
FIG. 5.

(Color online). Minimal values of such that there are no visible islands at bigger values of . The line is of type B.

Image of FIG. 6.
FIG. 6.

(Color). Trajectories of four initial points under the action of Poincaré return map for the case when the line is of type B. , , , .

Image of FIG. 7.
FIG. 7.

(Color). Stability island inside the domain where lines are of type B.

Image of FIG. 8.
FIG. 8.

(Color online). Trajectory of one initial point under the action of Poincaré return map for the nonrestricted problem. Parameters and initial conditions are: , , , , , , , the initial direction of the shells motion is inwards.

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/content/aip/journal/chaos/15/1/10.1063/1.1828991
2004-12-22
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: On chaotic behavior of gravitating stellar shells
http://aip.metastore.ingenta.com/content/aip/journal/chaos/15/1/10.1063/1.1828991
10.1063/1.1828991
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