Results 211 to 220 of about 37,160 (263)
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Chinese Physics B, 2010
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems.
Zhou Ping, Cheng Yuan-Ming, Kuang Fei
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Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems.
Zhou Ping, Cheng Yuan-Ming, Kuang Fei
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What is the lowest order of the fractional-order chaotic systems to behave chaotically?
Chaos, Solitons & Fractals, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong Peng +3 more
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Chaotic synchronization between different fractional-order chaotic systems
Journal of the Franklin Institute, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ping Zhou, Rui Ding
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Synchronization of chaotic systems with different order
Physical Review E, 2002The chaotic synchronization of third-order systems and second-order driven oscillator is studied in this paper. Such a problem is related to synchronization of strictly different chaotic systems. We show that dynamical evolution of second-order driven oscillators can be synchronized with the canonical projection of a third-order chaotic system. In this
Ricardo, Femat +1 more
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Chinese Physics B, 2011
This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof.
Gang-Quan Si +2 more
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This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof.
Gang-Quan Si +2 more
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Discrete Fractional Diffusion Equation of Chaotic Order
International Journal of Bifurcation and Chaos, 2016Discrete fractional calculus is suggested in diffusion modeling in porous media. A variable-order fractional diffusion equation is proposed on discrete time scales. A function of the variable order is constructed by a chaotic map. The model shows some new random behaviors in comparison with other variable-order cases.
Guo-Cheng Wu 0001 +3 more
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On a question of Furuta on chaotic order. II
Mathematical Journal of Okayama University, 2003This paper is a continuation of [Linear Algebra Appl. 341, 119--127 (2002; Zbl 1015.47013)]. The authors discusses the operator inequality \[ A^{r-t}\geq \{A^{\frac{r}{2}}(A^{\frac{-t}{2}}B^{p}A^{\frac{-t}{2}})^{s} A^{\frac{r}{2}}\}^{\frac{r-t}{(p-t)s+r}} \] for some \(p,t,r\) and \(s\) under chaotic order \(\log A\geq \log B\) which is discussed in ...
Fuji, Masatoshi +2 more
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2019 Chinese Control Conference (CCC), 2019
The problem of synchronization control for fractional chaotic systems and integer-order chaotic systems is considered. Combined with the idea of tracking control, synchronization of chaotic system based on passive control is proposed. According to the fractional order system stability theory, compensators and passive controllers are designed ...
Shao Keyong +4 more
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The problem of synchronization control for fractional chaotic systems and integer-order chaotic systems is considered. Combined with the idea of tracking control, synchronization of chaotic system based on passive control is proposed. According to the fractional order system stability theory, compensators and passive controllers are designed ...
Shao Keyong +4 more
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2008
A simple algorithm is constructed for the quadratic one-parameter family of maps. It predicts the number of periodic orbits of arbitrary period ocurring for parameter values lower than any other corresponding to a given stable periodic orbit. This algorithm produces the number of periodic unstable points coexisting with the stable periodic orbit.
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A simple algorithm is constructed for the quadratic one-parameter family of maps. It predicts the number of periodic orbits of arbitrary period ocurring for parameter values lower than any other corresponding to a given stable periodic orbit. This algorithm produces the number of periodic unstable points coexisting with the stable periodic orbit.
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2014
The vibrant, interdisciplinary science of complexity is illuminating the tendency of complex adaptive systems to oscillate along a continuum from chaos to order, occasionally finding a complexity-generating space somewhere between the two extremes. Awareness of the continuum can enable educators to understand more clearly their own career development ...
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The vibrant, interdisciplinary science of complexity is illuminating the tendency of complex adaptive systems to oscillate along a continuum from chaos to order, occasionally finding a complexity-generating space somewhere between the two extremes. Awareness of the continuum can enable educators to understand more clearly their own career development ...
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