This paper introduces Chaos Theory as a means of studying information systems. It argues that Chaos Theory, combined with new techniques for discovering patterns in complex quantitative and qualitative evidence offers a potentially more substantive approach to understand the nature of information systems in a variety of contexts. The paper introduces Chaos Theory concepts by way of an illustrat...

In this paper we prove the occurence of chaos for charged particles moving around a Schwarzschild black hole, perturbed by special classes of electromagnetic fields. The appearance of chaos is studied resorting to the Poincaré-Melnikov method. Submitted to: Class. Quantum Grav. PACS numbers: 04.20.-q, 05.45.-a, 95.10.Fh, 95.30.Sf Chaos in Black Holes Surrounded by Electromagnetic Fields 2

The lectures are centered around three selected topics of quantum chaos: the Selberg trace formula, the two-point spectral correlation functions of Riemann zeta function zeros, and of the Laplace–Beltrami operator for the modular group. The lectures cover a wide range of quantum chaos applications and can serve as a non-formal introduction to mathematical methods of quantum chaos.

We carry out a detailed bifurcation analysis for a common class of electrostatically driven nanowires in a multiphysics model. A finding is that the nanoscale system can exhibit distinct chaotic states: chaos with symmetry breaking and extensive chaos possessing the full symmetry of the system. Potential applications such as nanoscale random number generator and controlling extensive chaos to a...

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

The presence of chaos and quantum chaos is shown in two different nuclear systems. We analyze the chaotic behaviour of the classical SU(2) Yang–Mills– Higgs system, and then we study quantum chaos in the nuclear shell model calculating the spectral statistics of A = 46–50 atomic nuclei.

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...

This paper presents anti-synchronization of chaos between two different chaotic systems using active control method. The proposed technique is applied to achieve chaos antisynchronization for the Lü and Rössler dynamical systems. Numerical simulations are implemented to verify the results. Keywords—Active control, Anti-Synchronization, Chaos, Lü system, Rössler system.

Chaos could occur anytime in agriculture sector, and that some occurences will be predictable and some will not, so it needs early warning system that could detect early chaotic conditions and take action for crisis recovery.This research was aimed to design early warning system for tapioca agroindustry with the chaos existence test. The methodology in this research we investigate the existence...

– We generalize the concept of geometrical resonance to perturbed sine-Gordon, Nonlinear Schrödinger and Complex Ginzburg-Landau equations. Using this theory we can control different dynamical patterns. For instance, we can stabilize breathers and oscillatory patterns of large amplitudes successfully avoiding chaos. On the other hand, this method can be used to suppress spatiotemporal chaos and...