CONTROLLING IDEAL TURBULENCE IN TIME-DELAYED CHUA'S CIRCUIT: STABILIZATION AND SYNCHRONIZATION
2010 ◽
Vol 20
(05)
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pp. 1351-1363
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Keyword(s):
We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions. This system is a distributed parameter system in which ideal turbulence, introduced by Sharkovsky et al., occurs. Although the behavior of the system is quite intricate both in time and space, by using d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation. In this report, based on this analytical method using d'Alembert's solution, we design control laws to stabilize steady solutions (equilibrium solutions and periodic solutions) and synchronize a pair of identical systems.
Keyword(s):
1989 ◽
Vol 25
(2)
◽
pp. 139-144
2019 ◽
Vol 31
(4)
◽
pp. 323
Keyword(s):
1990 ◽
Vol 112
(3)
◽
pp. 313-319
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