− In this paper, the international data encryption algorithm is applied to design the symmetric cryptosystem based on chaotic signals. Ciphertext are masked by means of the tent map. Plaintext could be recovered to the original signals through chaos synchronization. Since the H∞ controller is robust, it can restrain effects of different initial values and variant system parameters between the t...

With the development of chaos theory, many image encryption algorithmshave been designed using the properties associated withthechaotic map. The chaotic map shows high sensitivity to initial conditions and the sequence generated using chaotic map are unpredictable making it a good choice for performing encryption operation. But, without proper encryption algorithm design, encryption scheme desi...

In recent years, chaos has been extensively used in cryptographic systems. In this regard, one dimensional chaotic maps gained increased attention because of their intrinsic simplicity and ease in application. Many image encryption algorithms that are based on chaotic substitution boxes (S-boxes) have been studied in the last few years but some of them appear to be vulnerable to robustness. We,...

We propose a new mechanism for undersampling chaotic numbers obtained by the ring coupling of one-dimensional maps. In the case of 2 coupled maps this mechanism allows the building of a PRNG which passes all NIST Test. This new geometric undersampling is very effective for generating 2 parallel streams of pseudorandom numbers, as we show, computing carefully their properties, up to sequences of...

In this paper, we present a novel approach to create the new chaotic map and propose an improved image encryption scheme based on it. Compared with traditional classic one-dimensional chaotic maps like Logistic Map and Tent Map, this newly created chaotic map demonstrates many better chaotic properties for encryption, implied by a much larger maximal Lyapunov exponent. Furthermore, the new chao...

We consider the tent map as the prototype of a chaotic system with escapes. We show analytically that a small, bounded, but carefully chosen perturbation added to the system can trap forever an orbit close to the chaotic saddle, even in presence of noise of larger, although bounded, amplitude. This problem is focused as a two-person, mathematical game between two players called "the protagonist...

To analyze the trade-off between channel capacity and noise-resistance in designing dynamical systems to pursue the idea of communications with chaos, we perform a measure theoretic analysis the topological entropy function of a “gap-tent map” whose invariant set is an unstable chaotic saddle of the tent map. Our model system, the “gap-tent map” is a family of tent maps with a symmetric gap, wh...

Chaotic signals have been considered potentially attractive in many signal processing applications ranging from wideband communication systems to cryptography and watermarking. Besides, some devices as nonlinear adaptive filters and phase-locked loops can present chaotic behavior. In this paper, we derive analytical expressions for the autocorrelation sequence, power spectral density and essent...

Nowadays, using transfer information includes images has increased due to increasing use of computer demands. Chaos-based image encryption method is one of the most efficient methods which is used to hide visual information during transmission. This paper presents a new image encryption method based on Logistic and Tent chaotic maps and permutation-diffusion architecture, in which, chaotic maps...