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Random Point Attractors Versus Random Set Attractors
Journal of the London Mathematical Society, 2001Summary: The notion of an attractor for a random dynamical system with respect to a general collection of deterministic sets is introduced. This comprises, in particular, global point attractors and global set attractors. After deriving a necessary and sufficient condition for existence of the corresponding attractors it is proved that a global set ...
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Modern Physics Letters B, 2006
In this paper, Chen's attractor is scaled via the one-way coupling approach and the adaptive control approach. The proposed method is theoretically analyzed and numerically studied. And the numerical simulations are in line with the theoretical analysis.
Li, Changpin, Deng, Weihua
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In this paper, Chen's attractor is scaled via the one-way coupling approach and the adaptive control approach. The proposed method is theoretically analyzed and numerically studied. And the numerical simulations are in line with the theoretical analysis.
Li, Changpin, Deng, Weihua
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Fractals, 1995
When a chaotic signal is used to force a switching-type variable which dependent on the momentary magnitude of the chaotic stimulus either shows a damped or an autocatalytic response, a new dynamical phenomenon arises. It is reminiscent of the “flares” observed in astrophysical situations.
Rossler, Otto E., Hartmann, Georg C.
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When a chaotic signal is used to force a switching-type variable which dependent on the momentary magnitude of the chaotic stimulus either shows a damped or an autocatalytic response, a new dynamical phenomenon arises. It is reminiscent of the “flares” observed in astrophysical situations.
Rossler, Otto E., Hartmann, Georg C.
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