Hyper chaos is the non-periodic behaviour of deterministic nonlinear dynamical system that is highly sensitive to initial conditions with more than one positive Lypunov Exponents, i.e., its dynamics expand not only small line segments, but also small area elements, these giving rise to a ‘thick’ chaotic attractor. Bifurcation effects include the period doubling route to chaos, the intermittency...

This paper studies chaos synchronization in the modified Chua's circuit with x x using linear state feedback control scheme. A new sufficient condition is derived for chaos synchronization between the two modified Chua's circuits with x x based on the Lyapunov stability theory and the Linear Quadratic Optimal Control theory. A simulation example is given for demonstration. 1. Introduction Today...

We propose several new detector schemes for non-coherent communication with a chaotic signal. To successfully decode the signal the detector needs to know only the chip timing and form of the dynamical system utilised by the encoder. We show that this method can be used to achieve bit error rates comparable to other non-coherent schemes. Moreover, our method also benefits from additional genera...

In this paper we propose two cryptographic algorithm AES and RSA Using Chaos. Chaos has attracted much attention in the field of cryptography. It describes a system which is sensitive to initial condition. It generates apparently random behavior but at the same time is completely deterministic Chaos function is used to increase the complexity and Security of the System.AES and RSA are the two c...

We address the problem of quantum chaos: Is there a rigorous, physically meaningful definition of chaos in quantum physics? Can the tools of classical chaos theory, like Lyapunov exponents, Poincaré sections etc. be carried over to quantum systems? Can quantitative predictions be made? We show that the recently proposed quantum action is well suited to answer those questions. As an example we s...

Crutchfield et al. observed that noise truncates period-doubling cascade and induces chaos. To date, however, very little low-dimensional chaos has been unambiguously identified experimentally. This discrepancy stimulates us to reexamine the noisy logistic map. We find that noise can indeed induce chaos. However, this is not associated with the main 2n cascade. We identify three basic condition...

We argue that transient chaos in deterministic dynamical systems is a major source of noiseinduced chaos. The line of arguments is based on the fractal properties of the dynamical invariant sets responsible for transient chaos, which were not taken into account in previous works. We point out that noise-induced chaos is a weak noise phenomenon since intermediate noise strengths destroy fractali...

Chaos criterion for quantum field theory is proposed. Its correspondence with classical chaos criterion in semi-classical regime is shown. It is demonstrated for real scalar field that proposed chaos criterion can be used to investigate stability of classical solutions of field equations. Phenomenon of chaos attracts much attention in various fields of physics. Originally it was associated with...