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  • Stojanovski, Toni  (11)
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  • 1
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., March, 2001, Vol.48(3), p.281
    Description: This paper and its companion (Part II) are devoted to the analysis of the application of a chaotic piecewise-linear one-dimensional(PL1D) map as random number generator (RNG). Piecewise linearity of the map enables us to mathematically find parameter values for which a generating partition is Markov and the RNG behaves as a Markov information source, and then to mathematically analyze the information generation process and the RNG. In the companion paper we discuss practical aspects of our chaos-based RNGs. Index Terms--Chaos, random number generator, symbolic dynamics.
    Keywords: Random Number Generators (Software) -- Models ; Chaotic Systems -- Usage ; Markov Processes -- Analysis
    ISSN: 1057-7122
    E-ISSN: 15580806
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  • 2
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., March, 2001, Vol.48(3), p.382
    Description: This paper and its companion (Part I) are devoted to to the analysis of the application of a chaotic piecewise-linear one-dimensional (PL1D) map as Random Number Generator (RNG). In Part I, we have mathematically analyzed the information generation process of a class of PL1D maps. In this paper, we find optimum parameters that give an RNG with lowest redundancy and maximum margin against parasitic attractors. Further, the map is implemented in a 0.8 [micro]]m standard CMOS process utilizing switched current techniques. Post-layout circuit simulations of the RNG indicate no periodic attractors over variations in temperature, power supply and process conditions, and maximum redundancy of 0.4%. We estimate that the output bit rate of our RNG is 1 Mbit/s, which is substantially higher than the output bit rate of RNGs available on the market. Index Terms--Chaos, CMOS, random number generator.
    Keywords: Random Number Generators (Software) -- Models ; Complementary Metal Oxide Semiconductors -- Usage ; Chaotic Systems -- Usage
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 3
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., June, 1997, Vol.44(6), p.562(4)
    Description: The concept of time-discontinuous coupling of two identical chaotic systems called sporadic coupling is addressed. The conditions for the occurrence of synchronization between two sporadically coupled chaotic systems are given. Amplitude quantization of the driving signal in addition to the sporadic coupling allows digital exchange of digital information signals between the sporadically coupled chaotic systems. Index Terms - Chaos, chaos synchronization, digital coding.
    Keywords: Chaotic Systems -- Research ; Systems Analysis -- Research ; Digital Electronics -- Research ; Electronic Circuits -- Research
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 4
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Oct, 1997, Vol.44(10), p.1014(5)
    Description: We give the relationship between symbolic dynamics and chaos synchronization. If the capacity of the channel which one- directionally connects two chaotic systems with the aim of synchronizing them is larger than Kolmogorov-Sinai entropy of the driving system, then the synchronization error can be made arbitrarily small. Index Terms - Chaos, channel capacity, symbolic dynamics, synchronization.
    Keywords: Chaotic Systems -- Analysis
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 5
    Language: English
    In: Physical Review E, 8/1996, Vol.54(2), pp.2128-2131
    ISSN: 1063-651X
    E-ISSN: 1095-3787
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  • 6
    Language: English
    In: International Journal of Bifurcation and Chaos, December 1996, Vol.6(12b), pp.2645-2652
    Description: In this paper we describe a simple method to reveal the parameters of the Lorenz system from time series of the x1 or x2 variable of the Lorenz system. The method is numerically tractable and extremely simple to apply. Furthermore, the method breaks secure communication systems like chaotic masking, chaos switching, and chaos modulation if they are based on the Lorenz system.
    Keywords: Engineering ; Sciences (General)
    ISSN: 0218-1274
    E-ISSN: 1793-6551
    Source: World Scientific Publishing Co.
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  • 7
    Language: English
    In: Chaos, Solitons and Fractals, 1998, Vol.9(1), pp.283-293
    Description: The work deals with control of spatio-temporal chaos in coupled ordinary differential equations. We propose a method based on the following ideas: stabilization of unstable periodic orbits embedded in spatio-temporal chaos, perturbation of minimal number of system variables, and perturbation only at regular time intervals and, if possible, not of all coupled systems. Numerical examples are given for various spatially ordered phases.
    Keywords: Sciences (General) ; Mathematics
    ISSN: 0960-0779
    E-ISSN: 1873-2887
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  • 8
    Language: English
    In: Chaos: An Interdisciplinary Journal of Nonlinear Science, December 1997, Vol.7(4), pp.635-643
    Description: We show analytically and numerically that a pair of uni-directionally coupled spatially extended systems can synchronize. For the case of partial differential equations the synchronization can be achieved by applying the scalar driving signals only at finite number of space points. Our approach is very general and can be useful for practical applications since the synchronization is achieved via feeding in the response system only the information from certain (discrete) spatial locations of the drive system. We also stress some open problems in the field of synchronization of spatiotemporal chaos.
    Keywords: Sciences (General) ; Physics;
    ISSN: 1054-1500
    E-ISSN: 1089-7682
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  • 9
    Language: English
    In: Physical Review E, 7/1997, Vol.56(1), pp.1238-1241
    Description: A method for controlling spatiotemporal chaos in coupled ordinary differential equations is presented. It is based on two ideas: stabilization of unstable periodic patterns embedded in spatiotemporal chaos, and perturbation of dynamical variables only at regular time intervals.
    Keywords: Physics;
    ISSN: 1063-651X
    E-ISSN: 1095-3787
    Source: American Physical Society (APS) (via CrossRef)
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  • 10
    Language: English
    In: Physics Letters A, 1997, Vol.233(4), pp.355-360
    Description: Using Takens's theorem we show that any pair of uni-directionally coupled dynamical systems can be synchronised via almost all scalar observations of the driving system's state. Moreover, the values of the scalar observation at only a finite number of times are sufficient for synchronisation purposes.
    Keywords: Chaos Synchronisation ; Delay Reconstruction ; Physics
    ISSN: 0375-9601
    E-ISSN: 1873-2429
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