Low dimensional chaos in ion sheath dynamics

Citation
T. Yamagishi et M. Tsukayama, Low dimensional chaos in ion sheath dynamics, J PHYS JPN, 69(9), 2000, pp. 2883-2888
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
69
Issue
9
Year of publication
2000
Pages
2883 - 2888
Database
ISI
SICI code
0031-9015(200009)69:9<2883:LDCIIS>2.0.ZU;2-H
Abstract
Dynamics of externally driven ion sheath in the double plasma device has be en investigated by numerically solving a nonlinear differential equation. T he global dynamical changes of the system have been examined by evaluating parametric changes of the Poincare map and the maximum Lyapunov exponent. T he transitions to chaos caused by the cascade bifurcation and intermittency are clearly shown by graphical methods. The correlation dimension calculat ed for a strange attractor, D-2 similar to 1.54, agrees well with the exper imental one indicates that the chaos is low dimensional, and the system can be described by the low dimensional equation.