A compact chaos generator core circuit has been designed, fabricated, and tested. It generates PWM and PPM (pulse width and phase modulation) signals that follow arbitrary nonlinear analog dynamics. The measurement results show that PWM/PPM chaotic signals are generated at 1 MHz with a calculation precision of 6.7 bits at a supply voltage of 3.3 V. The circuit can be used for large-scale integr...

This paper and its companion (Part II) are devoted to the analysis of the application of a chaotic piecewise-linear onedimensional (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 infor...

Pseudorandom number generators are used in many areas of contemporary technology such as modern communication systems and engineering applications. In recent years a new approach to secure transmission of information based on the application of the theory of chaotic dynamical systems has been developed. In this paper we present a method of generating pseudorandom numbers applying discrete chaot...

Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable Gate Array (FPGA) is developed to process a scalable fixed-point method for random streams generation. In our previous researches, we have proposed a technique by applying some well-defined discrete chaotic iterations...

In this work, a chaotification technique is proposed that can be used to enhance the complexity of any one-dimensional map by adding remainder operator it. It shown an appropriate parameter choice, resulting achieve higher Lyapunov exponent compared its seed map, and all periodic orbits period will unstable, leading robust chaos. The tested on several maps from literature, yielding increased ch...

New models and properties of piezoceramic transducer due to the interaction with the excitation device of limited power-supply are built and investigated in details. The special attention is given to examination of origin and development of the deterministic chaos in this system. It is shown, that a major variety of effects typical for problems of chaotic dynamics is inherent in the system. The...

This paper discusses a circuit family including a dependent switched capacitor (DSC). The DSC function is instantaneously short of one capacitor at the moment when its voltage reaches a threshold. The chaos generation can be guaranteed theoretically, We also consider a master-slave system. If there does not exist a homoclinic orbit in the master chaos attractor, it exhibits either in-phase or i...

The search for generation approaches to robust chaos has received considerable attention due to potential applications in cryptography or secure communications. This paper is of interest regarding a 1-D sigmoidal chaotic map, which has never been distinctly investigated. This paper introduces a generic form of the sigmoidal chaotic map with three terms, i.e., xn+1 = ∓Af NL(Bxn) ± Cxn ± D, where...

In recent years, the study of chaotic and complex phenomena in electronic circuits has been widely developed due to the increasing number of applications. In these studies, associated with the use of chaotic sequences, chaos is required to be robust (not occurring only in a set of zero measure and persistent to perturbations of the system). These properties are not easy to be proved, and numeri...