Konishi K. Spatiotemporal stability and control of one-way open coupled Lorenz systems.
PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;
65:036203. [PMID:
11909208 DOI:
10.1103/physreve.65.036203]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/10/2001] [Indexed: 05/23/2023]
Abstract
We investigate the spatiotemporal stability of a homogeneous solution in one-way open coupled Lorenz systems, and suppress the spatial instability in the systems by using the H(infinity) control technique. The suppression is illustrated with numerical simulations. In addition, it is shown that the suppression can be also achieved for one-way ring-type systems.
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