The discovery of fifth nonlinear region of operation i.e. quasi–chaos is confirmed in this paper after its recently reported two observations in loss and pumpmodulated Erbium doped fiber ring lasers.Quasi-chaos is apparently chaos but its time and physical phase space trajectories actually converge instead of diverging, even for widely separated initial conditions once the system numerical mode...

We call a foliation (M,F) on manifold M chaotic if it is topologically transitive and the union of closed leaves dense in M. A foliated not assumed to be compact. The foliations can considered as multidimensional generalization dynamical systems sense Devaney. For covered by fibrations we prove that only its global holonomy group chaotic. introduce concept integrable Ehresmann connection for na...

In recent years, encryption technology has been developed rapidly the chaos based cryptographic algorithms. Chaos owns certain critical properties such as sensitive dependence on initial condition, random-like behavior, and continuous broadband power spectrum, which match the confusion, diffusion, and key sensitivity requirements for cryptography. Chaos based cryptographic offer sundry features...

Control of chaos in the single-mode optically pumped far-infrared NH3 laser is experimentally demonstrated using continuous time-delay control. Both the Lorenz spiral chaos and the detuned period-doubling chaos exhibited by the laser have been controlled. While the laser is in the Lorenz spiral chaos regime the chaos has been controlled both such that the laser output is cw, with corrections of...

The most exciting recent development in nonlinear dynamics is realization that chaos can be useful. One application involves "Secure Communication". Two piecewise linear systems with switching nonlinearities have been taken as chaos generators. In the present work the phenomenon of secure communication with chaos masking has been investigated experimentally. In this investigation chaos which is...

This paper studies the performance of selected chaos-based systems which share their frequency bands with conventional spread-spectrum systems. Such a scenario may occur in normal practice when chaos-based systems are introduced while the conventional systems are still in operation. The particular chaos-based systems under study are the coherent chaosshift-keying (CSK) system and the non-cohere...

Much of early research on chaos from the viewpoint of physics was performed using spatially confined convective systems. In spatially extended convective systems, on the other hand, spatiotemporal chaos occurs. However, there is no unified definition for the term spatiotemporal chaos as for chaos. To unify definition, a property common to the three kinds of spatiotemporal chaos observed in elec...

We confront existing definitions of chaos with the state of the art in topological dynamics. The article does not propose any new definition of chaos but, starting from several topological properties that can be reasonably called chaotic, tries to sketch a theoretical view of chaos. Among the main ideas in this article are the distinction between overall chaos and partial chaos, and the fact th...

The aim of this article is twofold: (1). develop a strategy to prove the existence of chaos in weakly quasilinear systems, (2). strengthen the existing results on chaos in partial differential equations. First, we study a sineGordon equation containing weakly quasilinear terms, and existence of chaos is proved. Then, we study a Ginzburg-Landau equation containing weakly quasilinear terms, and e...

Chaos criterion for quantum field theory is proposed. Its accordance with classical chaos criterion is demonstrated in the semi-classical limit of quantum mechanics. Originally phenomenon of chaos was associated with problems of classical mechanics and statistical physics. Attempt of substantiation of statistical mechanics initiated intensive study of chaos and uncover its basic properties main...