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Comparison of the Newtonian and relativistic predicted trajectories for a low-speed periodically delta-kicked system
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10.1063/1.2218379
/content/aip/journal/chaos/16/3/10.1063/1.2218379
http://aip.metastore.ingenta.com/content/aip/journal/chaos/16/3/10.1063/1.2218379
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Comparison of the Newtonian (squares) and relativistic (diamonds) (a) positions and (b) momentums, for a case in which both the Newtonian and relativistic trajectories are chaotic.

Image of FIG. 2.
FIG. 2.

Natural log of the absolute value of the difference between the Newtonian and relativistic (a) positions and (b) momentums, versus iteration for the chaotic case in Fig. 1 . Straight-line fits up to iteration 120 are also plotted.

Image of FIG. 3.
FIG. 3.

Absolute value of the difference between the Newtonian and relativistic (a) positions and (b) momentums, versus iteration for a case in which both the Newtonian and relativistic trajectories are nonchaotic quasiperiodic ones. Straight-line fits are also plotted.

Image of FIG. 4.
FIG. 4.

Plot of the relativistic trajectory (for the chaotic case in Fig. 1 ) in phase space for the first 300 000 iterations.

Image of FIG. 5.
FIG. 5.

Plot of the Newtonian trajectory (for the chaotic case in Fig. 1 ) in phase space for the first 300 000 iterations.

Image of FIG. 6.
FIG. 6.

Plot of the Newtonian and relativistic trajectories (for the nonchaotic case in Fig. 3 ) in phase space for 100 000 iterations after the breakdown of the iteration-by-iteration agreement of the two trajectories.

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/content/aip/journal/chaos/16/3/10.1063/1.2218379
2006-07-31
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Comparison of the Newtonian and relativistic predicted trajectories for a low-speed periodically delta-kicked system
http://aip.metastore.ingenta.com/content/aip/journal/chaos/16/3/10.1063/1.2218379
10.1063/1.2218379
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