Global transport in a nonautonomous periodic standard map
Por:
Calleja, R. C., del-Castillo-Negrete, D., Martinez-del-Rio, D., Olvera, A.
Publicada:
1 oct 2017
Resumen:
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. The
results are contrasted with similar calculations found in the
literature. (C) 2017 Elsevier B.V. All rights reserved.
Filiaciones:
Calleja, R. C.:
Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico
del-Castillo-Negrete, D.:
Oak Ridge Natl Lab, Oak Ridge, TN 37831 USA
Martinez-del-Rio, D.:
Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico
Olvera, A.:
Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico
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