High-dimensional chaotic behavior in systems with time-delayed feedback. (English) Zbl 0626.58014
This paper reviews the results of a study of several aspects of high- dimensional chaos found in a very simple equation obtained as a model of a passive optical resonator system. The model equation we study is
\[
(1)\quad \dot x(t)=-x(t)+\mu f(x(t-t_ R)),
\]
with
\[
(2)\quad f(x)=\sin (x-x_ 0)\quad (x_ 0=\text{const.}).
\]
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