Wave-packet evolution along periodic structures of classical dynamics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 2, 1999, Pages 1414-1419

  Schweizer, W ^a   Jans, W ^a   Uzer, T ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344384763     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.1414     Document Type: Article

References (30)

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24. By an isochrone bifurcation a pair of stable/unstable trajectories is created, which have at the bifurcation point an identical period, action, and shape. Both trajectories are created from a single phase space point and they have no other orbit as a successor. By computing the Poincaré map or the (Formula presented) repetition of the Poincaré map for (Formula presented) periodic trajectories one can see the following behavior: Shortly before the bifurcation happens the Poincaré map (or its (Formula presented) iterate) does not cross itself and no fixed point exists, but when the bifurcation takes place the map crosses itself and after increasing the energy two different fixed point become visible. Each one corresponds to a periodic trajectory which did not exist at lower energy and which had no successor. For more details see
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