CONTROLLING CHAOS IN A STATE-DEPENDENT NONLINEAR SYSTEM
2002 ◽
Vol 12
(05)
◽
pp. 1111-1119
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Keyword(s):
In this paper, we propose a general method for controlling chaos in a nonlinear dynamical system containing a state-dependent switch. The pole assignment for the corresponding discrete system derived from such a nonsmooth system via Poincaré mapping works effectively. As an illustrative example, we consider controlling the chaos in the Rayleigh-type oscillator with a state-dependent switch, which is changed by the hysteresis comparator. The unstable one- and two-periodic orbits in the chaotic attractor are stabilized in both numerical and experimental simulations.
2020 ◽
Vol 91
◽
pp. 105426
2014 ◽
Vol 533
◽
pp. 140-144
2018 ◽
Vol 141
(2)
◽
2003 ◽
Vol 60
(7-9)
◽
pp. 137-149
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Keyword(s):