Nonlinear Processes in Geophysics www.nonlin-processes-geophys.net 1023-5809 1607-7946 14 1 2007 10.5194/npg-14-17-2007 http://www.nonlin-processes-geophys.net/14/17/2007/ http://www.nonlin-processes-geophys.net/14/17/2007/npg-14-17-2007.html http://www.nonlin-processes-geophys.net/14/17/2007/npg-14-17-2007.pdf 17 29 2007-01-24 Chaos in driven Alfvén systems: unstable periodic orbits and chaotic saddles A. C.-L. Chian achian@dge.inpe.br W. M. Santana E. L. Rempel F. A. Borotto T. Hada Y. Kamide National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos – SP, CEP 12227-010, Brazil Institute of Aeronautical Technology (ITA), São José dos Campos – SP, CEP 12228-900, Brazil Universidad de Concepción, Departamento de Física, Concepción, Chile Kyushu University, Department of Earth Sciences and Technology, Fukuoka 8168580, Japan Solar-Terrestrial Environment Laboratory, Nagoya University, Toyokawa 4428507, Japan The chaotic dynamics of Alfvén waves in space plasmas governed by the derivative nonlinear Schrödinger equation, in the low-dimensional limit described by stationary spatial solutions, is studied. A bifurcation diagram is constructed, by varying the driver amplitude, to identify a number of nonlinear dynamical processes including saddle-node bifurcation, boundary crisis, and interior crisis. The roles played by unstable periodic orbits and chaotic saddles in these transitions are analyzed, and the conversion from a chaotic saddle to a chaotic attractor in these dynamical processes is demonstrated. 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