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— In this paper, we give sufficient conditions which guarantee the existence of a diffeomorphism in an extended state space that allows to transform a multi-output nonlinear dynamical system into a nonlinear normal observable canonical form. In particular, we propose an algorithm that permits to derive such diffeomorphism. The main feature of the canonical(More)
987 off O such that (x1(0); x2(0)) 6 = (0; 0), x3(0) > 0, the corresponding trajectory is bounded, but its positive limit set is the unit circle on O, and therefore it is not a subset of 0; see Fig. 2. In conclusion, 0 is not attractive for the closed-loop system (and neither is it stable). This example illustrates the fact that, when 0 V 01 (0) is compact,(More)
this paper, we propose a secure communication system composed of four chaotic oscillators. Two of those oscillators are unidirectionally coupled and employed as transmitter and receiver. The other two oscillators are indirectly coupled and are employed as keystream generators. The novelty lies in the generation of the same chaotic key both in the(More)
In this paper, a modified chaotic shift keying method is proposed to transmit digital bits securely over a communication channel. The scheme is based upon encrypting the digital bits 0 and 1 into infinite levels by applying the keystream such that there is no recognisable pattern in the encoded transmitted signal. The encoded transmitting signal generated(More)
— In this paper, a new a secure communication scheme using chaotic signal for transmitting binary digital signals is proposed and which is then implemented on a Digital Signal Processor (DSP) board. The method uses the idea of indirect coupled synchronization for generating the same keystream in the transmitter and receiver side. This chaotic keystream is(More)