TY - JOUR
T1 - Chaos in driven Alfvén systems
T2 - Boundary and interior crises
AU - Borotto, Felix A.
AU - Chian, Abraham C.L.
AU - Hada, Tohru
AU - Rempel, Erico L.
N1 - Funding Information:
This work is supported by CNPq (Brazil), FAPESP (Brazil) and AFOSR. The authors wish to thank NITP/CSSM of the University of Adelaide for their kind hospitality.
PY - 2004/7/15
Y1 - 2004/7/15
N2 - Chaotic transitions of nonlinear Alfvén waves via boundary and interior crises are studied. Alfvén crises are characterized using the unstable periodic orbits and their stable and unstable manifolds. In a period-3 periodic window of the bifurcation diagram, we identify a period-9 unstable periodic orbit that is responsible for both boundary and interior crises of two chaotic attractors. We demonstrate that these Alfvén crises arise from a homoclinic tangency.
AB - Chaotic transitions of nonlinear Alfvén waves via boundary and interior crises are studied. Alfvén crises are characterized using the unstable periodic orbits and their stable and unstable manifolds. In a period-3 periodic window of the bifurcation diagram, we identify a period-9 unstable periodic orbit that is responsible for both boundary and interior crises of two chaotic attractors. We demonstrate that these Alfvén crises arise from a homoclinic tangency.
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U2 - 10.1016/j.physd.2004.02.014
DO - 10.1016/j.physd.2004.02.014
M3 - Article
AN - SCOPUS:2942694328
SN - 0167-2789
VL - 194
SP - 275
EP - 282
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 3-4
ER -