LettersNo Access

ALFVÉN BOUNDARY CRISIS

A. C.-L. CHIAN

World Institute ofr Space Environment Research-WISER, NITP, Adelaide University, SA 5005, Australia

National Institute for Space Research-INPE, P. O. Box 515, 12227-010 Sao Jose dos Campos-SP, Brazil

Search for more papers by this author

F. A. BOROTTO

World Institute ofr Space Environment Research-WISER, NITP, Adelaide University, SA 5005, Australia

National Institute for Space Research-INPE, P. O. Box 515, 12227-010 Sao Jose dos Campos-SP, Brazil

Universidad de Concepcion, Departamento de Fisica, Concepcion, Chile

Search for more papers by this author

, and

E. L. REMPEL

World Institute ofr Space Environment Research-WISER, NITP, Adelaide University, SA 5005, Australia

National Institute for Space Research-INPE, P. O. Box 515, 12227-010 Sao Jose dos Campos-SP, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0218127402005303Cited by:16 (Source: Crossref)

Abstract

A new transition mechanism to Alfvén chaos via boundary crisis is reported. This crisis appears in a complex plasma region in the presence of a large number of coexisting attractors. We characterize an example of double boundary crises using the unstable periodic orbit determined from the numerical solution of the driven-dissipative derivative nonlinear Schrödinger equation, and demonstrate how the same unstable periodic orbit causes the appearance/disappearance of two chaotic attractors due to two successive homoclinic tangencies.

Keywords:

Remember to check out the Most Cited Articles!
Check out our Bifurcation & Chaos

References

R. H. Abraham and H. B. Stewart, Physica D 21, 394 (1986). Web of Science, Google Scholar
P. E. Baket al., Phys. Rev. Lett. 83, 1339 (1999). Web of Science, Google Scholar
K. Baumgärtel, J. Geophys. Res. 104, 28295 (1999). Web of Science, Google Scholar
B. Buti, J Geophys. Res. 97, 4229 (1992). Web of Science, Google Scholar
B. Butiet al., Astrophys. J. 523, 849 (1999). Web of Science, Google Scholar
A. C.-L. Chian and L. P. L. Oliveira, Astron. Astrophys. 286, L1 (1994). Web of Science, Google Scholar
A. C.-L. Chianet al., Phys. Scripta T 60, (1995). Google Scholar
A. C.-L. Chian, F. A. Borotto and W. D. Gonzalez, Astrophys. J. 505, 993 (1998). Web of Science, Google Scholar
W. Gekelman, J. Geophys. Res. 104, 14417 (1999). Web of Science, Google Scholar
S. Ghosh and K. Papadopoulos, Phys. Fluids 30, 1371 (1987). Web of Science, Google Scholar
C. Grebogi, E. Ott and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982). Web of Science, Google Scholar
C. Grebogi, E. Ott and J. A. Yorke, Physica D 7, 181 (1983). Web of Science, Google Scholar
C. Grebogiet al., Phys. Rev. A 36, 5365 (1987). Web of Science, Google Scholar
T. Hada, C. F. Kennel and B. Buti, J. Geophys. Res. 94, 65 (1989). Web of Science, Google Scholar
T. Hadaet al., Phys. Fluids B 2, 2581 (1990). Google Scholar
K. He, Phys. Rev. Lett. 80, 696 (1998). Web of Science, Google Scholar
C. F. Kennelet al., Phys. Fluids 31, 1949 (1988). Web of Science, Google Scholar
L. Nocera and B. Buti, Phys. Scripta T 63, 186 (1996). Google Scholar
L. P. L. Oliveira and A. C.-L. Chian, J. Plasma Phys. 56, 251 (1996). Web of Science, Google Scholar
L. P. L. Oliveira, F. B. Rizzato and A. C.-L. Chian, J. Plasma Phys. 58, 441 (1997). Web of Science, Google Scholar
R. D. Pinto and J. C. Sartorelli, Phys. Rev. E 61, 342 (2000). Web of Science, Google Scholar
O. E. Rössler, Z. Naturforsch 31a, 1664 (1976). Google Scholar
C. Simó, J. Stat. Phys. 21, 465 (1979). Web of Science, Google Scholar
C.-Y. Tu and E. Marsch, Space Sci. Rev. 73, 210 (1995). Web of Science, Google Scholar
B. Van der Pol and J. Van der Mark, Phil. Mag. 6, 763 (1928). Google Scholar