It has been well-known that tight relationship exists between chaos and cryptography [Brown & Chua, 1996]. Many fundamental characteristics of chaos, such as ergodicity, mixing property and sensitivity to initial conditions/control parameters [Hao, 1993], can be connected with some cryptographic properties of good ciphers, such as confusion/diffusion, balance and avalanche property [Schneier, 1...

We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a model that reproduces turbulent E×B drift and show numerically that the control is able to drastically reduce chaotic transport. Submitted to: J. Phys. A: M...

The final report for the Deterministic Chaos Lab (DC Lab) should include appropriate presentations and explanations of data in addition to some qualitative discussion on interesting or significant aspects of the experiment. A brief discussion describing the general nature referenced in scientific literature will be to your benefit. There are some books (and even free ebooks) on the subject avai...

Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...

In the present paper, we show that (under some minor technical assumption) Complex Gaussian multiplicative chaos defined as complex exponential of a log-correlated field can be obtained by taking limit convoluted with smoothing kernel. We consider two types chaos: e?X for log correlated X and ?=?+i?, ?,??R e?X+i?Y Y independent fields ?,??R. Our result is valid in range Psub:={?2+?2<d}?{|?|?( d...

in this research prediction methods of artificial neural network and chaos theory are employed to predict daily, weekly and monthly runoff. for this, runoff series data observed at pole-kohneh located in the qareh-soo river. the nonlinear predictions of chaos are found to be in close agreement with the observed runoff, with high correlation coefficient for daily and weekly time scales. predicte...

a r t i c l e i n f o Current mathematical models in building research have been limited in most studies to linear dynamics systems. A literature review of past studies investigating chaos theory approaches in building simulation models suggests that as a basis chaos model is valid and can handle the increasing complexity of building systems that have dynamic interactions among all the distribu...

Nonlinear reaction-diffusion systems admit a wide variety of spatiotemporal patterns or structures. In this lecture, we point out that there is certain advantage in studying discrete arrays, namely cellular neural/nonlinear networks (CNNs), over continuous systems. Then, to illustrate these ideas, the dynamics of diffusively coupled one and two dimensional cellular nonlinear networks (CNNs), in...

In this paper, the new concept of non-autonomous iterated function system is introduced and also shown that non-autonomous iterated function system IFS(f_(1,∞)^0,f_(1,∞)^1) is topologically transitive for the metric space of X whenever the system has average shadowing property and its minimal points on X are dense. Moreover, such a system is topologically transitive, whenever, there is a point ...

Three-dimensional steady-state Arnold-Beltrami-Childress (ABC) flow has a chaotic Lagrangian structure, and also satisfies the Navier-Stokes (NS) equations with an external force per unit mass. It is well-known that, although trajectories of system have sensitive dependence on initial conditions, i.e. famous ``butterfly-effect'', their statistical properties are often insensitive to small distu...