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Title: Global transport in a nonautonomous periodic standard map

Journal Article · · Communications in Nonlinear Science and Numerical Simulation
 [1];  [2];  [1];  [1]
  1. IIMAS-UNAM (Mexico)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
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A non-autonomous version of the standard map with a periodic variation of the perturbation parameter is introduced and studied via an autonomous map obtained from the iteration of the nonautonomous map over a period. Symmetry properties in the variables and parameters of the map are found and used to find relations between rotation numbers of invariant sets. The role of the nonautonomous dynamics on period-one orbits, stability and bifurcation is studied. The critical boundaries for the global transport and for the destruction of invariant circles with fixed rotation number are studied in detail using direct computation and a continuation method. In the case of global transport, the critical boundary has a particular symmetrical horn shape. Here, the results are contrasted with similar calculations found in the literature.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1412059
Alternate ID(s):
OSTI ID: 1415685
Journal Information:
Communications in Nonlinear Science and Numerical Simulation, Vol. 51, Issue C; ISSN 1007-5704
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

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