In this paper, the authors propose a new chaotic block cryptosystem based on multiple one-dimensional chaotic maps. In the proposed cryptosystem, the authors establish map-to-task relations between the multiple chaotic maps and the tasks, which must be performed in the encryption rounds. The encryption process is based on these map-to-task relations. The authors enhance the security of the cryp...

Klaus Morawetz, Michael Vogt, Uwe Fuhrmann, Pavel Lipavský, Václav Špička 1 LPC, IN2P3-CNRS, ISMRA, 6 Bd du Marechal Juin, Caen, 14050, France 2 GANIL, B.P. 5027, Bd Henri Becquerel, 14076 Caen Cedex 5, France 3 Fachbereich Physik, University Rostock, D-18055 Rostock, Germany 4 Institute of Philosophy, University Rostock, D-18055 Rostock, Germany 5 Institute of Physics, Academy of Sciences, Cuk...

The aim of this paper is to prove the following results: a continuous map f : [0, 1]→ [0, 1] is chaotic iff the shift map σf : lim ← ([0, 1], f)→ lim ← ([0, 1], f) is chaotic. However, this result fails, in general, for arbitrary compact metric spaces. σf : lim ← ([0, 1], f) → lim ← ([0, 1], f) is chaotic iff there exists an increasing sequence of positive integers A such that the topological s...

The ability to control the distribution of particles in a fluid is generally regarded as factor great importance variety fields (manufacturing processes, biomedical applications, materials engineering and various particle separation cite few). present study considers hitherto not yet addressed situation which solid spherical are dispersed non-isothermal undergoing turbulent vibrationally-induce...

in this paper we review some recent ideas of synchronization theory. we apply this theory to study the different synchronization aspects of uni-directionally coupled pair of chaotic one-dimensional gaussian maps.

Recent investigations show that wireless communication systems are a very promising application area of chaotic dynamics. At the same time synthesis of chaotic oscillators suitable for IC implementation and producing chaotic oscillations in the specified frequency band is a problem. Here the problem of synthesis of RC chaotic oscillator with preassigned spectrum is discussed. Spectral propertie...

Designing chaotic maps with complex dynamics is a challenging topic. This paper introduces the nonlinear chaotic processing (NCP) model, which contains six basic nonlinear operations. Each operation is a general framework that can use existing chaotic maps as seed maps to generate a huge number of new chaotic maps. The proposed NCP model can be easily extended by introducing new nonlinear opera...