Design and cryptanalysis of chaotic encryption schemes are major concerns to provide secured information systems. Pursuing our previous research works, some well-defined discrete chaotic iterations that satisfy the reputed Devaney’s definition of chaos have been proposed. In this article, we summarize these contributions and propose applications in the fields of pseudorandom number generation, ...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

We construct a family of chaotic dynamical systems with explicit broad distributions, which always violate the central limit theorem. In particular, we show that the superposition of many statistically independent, identically distributed random variables obeying such chaotic process converge in density to Lévy’s stable laws in a full range of the index parameters. The theory related to the con...

The non-linear dynamics of the chaotic 1D logistic map and its statistical and spectral properties are studied using MATLAB numerical simulations. We have developed an analog behavioral model and implemented logistic map on a field programmable analog array chip. Presented measurement results confirmed the chaotic behavior of the implemented system. Results show that field programmable analog a...

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of xn = cot(xn−1). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract random bytes from this simulation. Diehard and NIST test suite for randomness detection is run on this bytes, and it is found to pass all the tests in the sui...

chaos theory discusses unstable and non-periodic behavior of non-linear fluctuating dynamicsystems. since evaporation level variations of lakes have a dynamic identity, chaos theory can have a uniquerole in collecting data of these variations. therefore it is an important and challenging problem in the field ofplanning and qualitative and quantitative management of urmia lake to verify whether ...

Several efforts have been seen claiming the lightweight block ciphers as a necessarily suitable substitute in securing Internet of Things. Currently, it has able to envisage pervasive frame reference almost all across privacy preserving smart and sensor-oriented appliances. Different approaches are likely be inefficient, bringing desired degree security considering easiness surely process simpl...

We propose a simple method to generate broadband polarization chaos using two mutually coupled free-running vertical-cavity surface-emitting lasers (VCSELs). Specifically, we quantitatively investigate the effect of critical external parameters (bias current, frequency detuning and coupling coefficient) on bandwidth in scenarios parallel injection orthogonal injection, reveal physical mechanism...