Abstract:The time delay signature (TDS) properties in ring network of three mutually coupled semiconductor lasers (MCSLs) are investigated quantitatively. The evolution pattern of TDS, which is quantified via the auto-correlation function, for ring network with identical coupling delays as well as with heterogeneous coupling delays are discussed and compared. The effects of coupling strength, frequency detuning and injection current are mainly examined. The parameter regions contributing to successful TDS concealment are identified. It is found that, three sets of chaotic signals with TDS concealment can be simultaneously generated in ring network of three MCSLs under certain condition, and the TDS is mainly affected by injection current and coupling strength, but is not so sensitive to the frequency detuning. To obtain low TDS, larger injection current and smaller coupling strength are desired. Besides, by intentionally introducing heterogeneous coupling delays in the ring network, the TDS can be better concealed in much wider parameter regions compared to the network with identical coupling delays, which is highly desirable for the chaos-based random bit generators.

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	1. Simultaneous generation of multiple time-delay-signature eliminated chaos in ring network of coupled semiconductor lasers with heterogeneous delays
	XIANG Shuiying,WEN Aijun,LIN Lin,ZHANG Huixing,ZHANG Hao,GUO Xingxing,LI Jiafu
	Information Science and System Science 17 March 2016
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	Abstract:The time delay signature (TDS) properties in ring network of three mutually coupled semiconductor lasers (MCSLs) are investigated quantitatively. The evolution pattern of TDS, which is quantified via the auto-correlation function, for ring network with identical coupling delays as well as with heterogeneous coupling delays are discussed and compared. The effects of coupling strength, frequency detuning and injection current are mainly examined. The parameter regions contributing to successful TDS concealment are identified. It is found that, three sets of chaotic signals with TDS concealment can be simultaneously generated in ring network of three MCSLs under certain condition, and the TDS is mainly affected by injection current and coupling strength, but is not so sensitive to the frequency detuning. To obtain low TDS, larger injection current and smaller coupling strength are desired. Besides, by intentionally introducing heterogeneous coupling delays in the ring network, the TDS can be better concealed in much wider parameter regions compared to the network with identical coupling delays, which is highly desirable for the chaos-based random bit generators.
	TO cite this article:XIANG Shuiying,WEN Aijun,LIN Lin, et al. Simultaneous generation of multiple time-delay-signature eliminated chaos in ring network of coupled semiconductor lasers with heterogeneous delays[OL].[17 March 2016] http://en.paper.edu.cn/en_releasepaper/content/4681167


	2. Impulsive stabilization of a class of nonlinear system with bounded gain error
	MA Tiedong,ZHAO Feiya
	Information Science and System Science 24 December 2013
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	Abstract:This paper introduces impulsive gain error result from mechanical limitation or device restriction in practical application. Our new impulsive control method includes control gain error with an acceptable boundary is more practically applicable than previous existing impulsive analytical approaches. A sufficient criterion for global exponential stability of impulsive control system is derived without the need for precise impulsive gain by estimating impulsive differential inequality. The effectiveness of the proposed method is confirmed by theoretical analysis and numerical simulation.
	TO cite this article:MA Tiedong,ZHAO Feiya. Impulsive stabilization of a class of nonlinear system with bounded gain error[OL].[24 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4576685

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	3. Robust Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time-Delay
	MA Tiedong,XI Quan
	Information Science and System Science 16 December 2013
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	Abstract:The hybrid projective synchronization for fractional-order chaotic systems with time-delay and uncertain perturbation is investigated in this paper. Adaptive sliding mode control method is proposed to synchronize the fractional-order chaotic and hyperchaotic systems under time-delay and uncertain perturbation. Stability is analyzed by using stability theorem of fractional calculus. The simulation results show the feasibility and effectiveness of the proposed scheme.
	TO cite this article:MA Tiedong,XI Quan. Robust Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time-Delay[OL].[16 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4575776


	4. Circuit simulation and implementation for synchronization between fractional-order modified Liu chaotic systems
	MA Tiedong,GUO Dong
	Information Science and System Science 28 October 2013
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	Abstract:For a novel modified fractional-order Liu chaotic system, this paper studies the circuit simulation for this system and its synchronization. Based on the approximation theory of fractional-order operator, an electronic circuit is designed to describe the dynamic behavior of the modified fractional-order system firstly, and then the synchronization between two identical fractional-order Liu systems is designed by given circuit. Our results are supported by numerical simulation and circuit implementation.
	TO cite this article:MA Tiedong,GUO Dong. Circuit simulation and implementation for synchronization between fractional-order modified Liu chaotic systems[OL].[28 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4565866


	5. On Multifractal Spectrum of Hidden Markov Processes
	Shuangping Chen
	Information Science and System Science 05 January 2010
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	Abstract:The hidden Markov processes (HMP) have been shown to be related to Cantor set which is a typical fractal. Statistical methods have been introduced to compute the multifractal spectrum of HMPs, and an example of applying the methods on a binary hidden Markov process was provided. The multifractal spectrum is a very useful tool for evaluating parameters and output of HMPs.
	TO cite this article:Shuangping Chen. On Multifractal Spectrum of Hidden Markov Processes[OL].[ 5 January 2010] http://en.paper.edu.cn/en_releasepaper/content/38447


	6. A new multistage chaos synchronized system for secure communications
	AN Xinlei,Yu JianNing,Zhang JianGang,ZHANG Li
	Information Science and System Science 12 March 2009
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	Abstract:Based on Lyapunov stabilization theorem, considering the diffusionless chaotic system, a method is proposed for global chaos synchronization among three identical systems. Meanwhile, the method of three different structures chaotic systems global synchronization is shown. Then this method is applied to secure communication through chaotic masking, used three coupled identical system, propose a novel method of chaos encryption, after encrypting in the first two coupled systems, do it again in the later two coupled systems. Simulation results show that the method can realize monotonous synchronization. Further more, the information signal can be recovered undistorted when applying this method to secure communication.
	TO cite this article:AN Xinlei,Yu JianNing,Zhang JianGang, et al. A new multistage chaos synchronized system for secure communications[OL].[12 March 2009] http://en.paper.edu.cn/en_releasepaper/content/30178


	7. Star direct product of symbolized vertex shift matrices: angle decomposition method in symbolic dynamics
	Xu Chuanyun ,Peng Shouli ,Cao Kefei
	Information Science and System Science 09 February 2009
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	Abstract:A star direct product in the form of matrices is proposed for one-dimensional symbolic dynamics of arbitrary multimodal maps. The direct product is based on the angle decomposition technique in the from of symbolized vertex shift matrices which are orthonormal 0-1 matrices and form a special orthonormal group. The admissibility condition of symbolized vertex shift matrices and the admissibility of star direct product are proved in detail. They will guarantee that the product are of renormalizable orbits. The star direct product has many algebraic distinctions to the conventional star product. Therefore, it is expected that there may exist a great diversity of Feigenbaum\\\
	TO cite this article:Xu Chuanyun ,Peng Shouli ,Cao Kefei . Star direct product of symbolized vertex shift matrices: angle decomposition method in symbolic dynamics[OL].[ 9 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28636


	8. Universal Form of Renormalizable Knots in Symbolic Dynamics of Bimodal Maps
	Wen Gao,Chuan-Yun Xu,Shou-Li Peng,Ke-Fei Cao
	Information Science and System Science 22 January 2009
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	Abstract:The universal relation between knot theory and symbolic dynamics is established in bimodal maps in this paper. When symbolic sequences of maps are expressed as simple knots, it is easy to find that knots for renormalizable sequences are constructed of bunches of flows. They are parallel, inverse parallel or single-folding. The generation of renormalizable knots can be operated easily in geometry or be calculated by algebraic method. Especially, it is independent of traditional star product of symbolic dynamics. We present some examples and list them in a table with period not beyond 6.
	TO cite this article:Wen Gao,Chuan-Yun Xu,Shou-Li Peng, et al. Universal Form of Renormalizable Knots in Symbolic Dynamics of Bimodal Maps[J].


	9. Generation & Analysis on a Novel Autonomous Chaotic System with Manifold Variable Lyapunov Exponents
	Tang Binhua ,He Li ,Yang Zhi
	Information Science and System Science 10 May 2006
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	Abstract:A high-dimension chaotic system based on Multivariable Linkage Function (MvLF) is proposed within the passage, which has variable Lyapunov exponents (LEs) and the sufficient capabilities to implement different chaotic, hyperchaotic status, or both. Not only does it have much more security than the former similar ones, but its expansibility and physical simplicity in modeling and applications also excel others. The passage carried out relevant analysis on the eigenvalue problem of system Jacobian matrix and their Lyapunov exponent spectrum, which finally led to two general conclusions for the cases under investigation. Relevant simulations and analysis prove that the proposed system has theoretical importance and practical advantages in information security domain, such as chaotic communication, modern chaotic cryptology, etc.
	TO cite this article:Tang Binhua ,He Li ,Yang Zhi . Generation & Analysis on a Novel Autonomous Chaotic System with Manifold Variable Lyapunov Exponents[OL].[10 May 2006] http://en.paper.edu.cn/en_releasepaper/content/6547


	10. A Constructive Generalized Synchronization Theorem for Array Differential Equations with Application to Secure Image Communication
	Min Lequan,Zang hongyan
	Information Science and System Science 02 March 2005
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	Abstract: A constructive theorem of generalized synchronization (GS) for unidirectionally coupled array differential equations (ADE) is presented. Based on the theorem, one can design a GS driven ADE via a driving chaotic ADE and a C^1 diffeomorphism. As an application, a smoothed Chua
	TO cite this article:Min Lequan,Zang hongyan. A Constructive Generalized Synchronization Theorem for Array Differential Equations with Application to Secure Image Communication[OL].[ 2 March 2005] http://en.paper.edu.cn/en_releasepaper/content/1620

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