Domain-wall free energy sigmaF, entropy sigmaS, and the correlation function C(temp) of sigmaF are measured independently in the four-dimensional +/-J Edwards-Anderson (EA) Ising spin glass. The stiffness exponent theta, the fractal dimension of domain walls d(s), and the chaos exponent zeta are extracted from the finite-size scaling analysis of sigmaF, sigmaS, and C(temp), respectively, well i...

In this paper, we derive new results for global chaos control of chaotic systems via sliding control. We also explore the analysis and global chaos control of the hyperchaotic Li system (2005) using sliding control. The global chaos control results via sliding control have been established using Lyapunov stability theory. Numerical simulations using MATLAB are shown to validate and depict the e...

Some people may be laughing when looking at you reading in your spare time. Some may be admired of you. And some may want be like you who have reading hobby. What about your own feel? Have you felt right? Reading is a need and a hobby at once. This condition is the on that will make you feel that you must read. If you know are looking for the book enPDFd chaos and fractals new frontiers of scie...

Nowadays, chaos theory, turbulence and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence (chaos and turbulence engineering), 2. rough dependence on initial data – short term unpredictability (turbulence physics), 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of p...

Nowadays there is no universally accepted definition of quantum chaos. In this paper we review and critically discuss different approaches to the subject, such as Quantum Chaology and the Random Matrix Theory. Then we analyze the problem of dynamical chaos and the time scales associated with chaos suppression in quantum mechanics. PACS Numbers: 05.45.+b, 03.65.Bz

In this paper, we study the influence of quantum effects to chaotic dynamics, especially the influence of Pauli effect and dynamical symmetry breaking to dynamical chaos. We apply the semiquantal theory to the Sp(6) fermion symmetry model in nuclear collective motion. We demonstrate that quantum chaos appear when dynamical symmetry is broken. We further find that the dynamical Pauli effect enha...

Ever since the fundamental ideas of Poincaré in the qualitative theory of dynamical systems, there has been intense interest into the global behaviour of such systems. Many important ideas and examples have grown out of the basic theory including chaos, knotted trajectories, fractal dimension and equivalence theory. Here we shall give an overview of some of the most important results which are ...

In this article, two of the pinnacles of nonlinear science – solitons and chaos, are discussed giving importance to the philosophy behind these concepts, and highlighting the ubiquity of the duo in real life phenomena. It is seen that solitons and chaos are prevalent in nature much more than one would expect, and are much wider in scope than the restrictive mathematical equations usually seen i...