In recent years chaos theory has received a great deal of attention among social scientists. Chaos theory originated from turbulent-type of motions in physical systems, but recently its relevance has been explored successfully in economie and social sciences. After a brief overview of recent developments related to chaos theory in economie systems, our paper will present a chaotic model for urb...

Chaos is a class of ubiquitous phenomena and controlling chaos is of great interest and importance. In this Letter, we introduce wavelet controlled dynamics as a new paradigm of dynamical control. We find that by modifying a tiny fraction of the wavelet subspaces of a coupling matrix, we could dramatically enhance the transverse stability of the synchronous manifold of a chaotic system. Wavelet...

This paper proposes a simple design procedure of chaos generators consisting of two capacitors, some resistors, one linear voltagecontrolled current source (VCCS), and one piecewise-linear hysteresis VCCS. The design procedure is based on nodal analysis and can guarantee the chaos generation. The resulting circuits have suitable shapes to implement on-chip and an operational transconductance am...

We discuss the appearance of cyclic and toroidal chaos in Hopfield neural networks. The theoretical results may strongly relate to investigations of brain activities performed by neurobiologists. As new phenomena, extension of chaos by entrainment of several limit cycles as well as the attraction of cyclic chaos by an equilibrium are discussed. Appropriate simulations that support the theoretic...

We report experimental results on the defect turbulent state of undulation chaos in inclined layer convection of a fluid with Prandtl number approximately 1. By measuring defect density and undulation wave number, we find that the onset of undulation chaos coincides with the theoretically predicted onset for stable, stationary undulations. At stronger driving, we observe a competition between o...

Synchronisation of chaotic systems is an important research problem in chaos theory. In this research work, a novel sliding mode control method is proposed for the global chaos synchronisation of identical chaotic systems. The general result derived using novel sliding mode control method is established using Lyapunov stability theory. As an application of the general result, the problem of glo...

BACKGROUND The six item Confusion, Hubbub and Order Scale (CHAOS-6) has been validated as a reliable tool to measure levels of household disorder. We aimed to investigate the goodness of fit and reliability of a new Malay version of the CHAOS-6. METHODS The original English version of the CHAOS-6 underwent forward-backward translation into the Malay language. The finalised Malay version was a...

pursuing literary studies based on chaos theory: Turbulent Mirror (Briggs and Peta) and Chaos: Making a New Science (Gleick), two monographs aimed at the non-specialist; Does God Play Dice? (Stewart); The Beauty of Fractals: Images of Complex Dynamical Systems (Peitgen-Richter), a visually amazing scientific treatise; and Computers, Pattern, Chaos and Beauty: Graphics from an Unseen World (Pick...

Chaos control is of vital importance in the fields of chaos application. To avoid too much artificial control factors, by transforming problems related to chaos system into those of different functions’ optimizations, a novel application through particle swarm optimization simulating the swarm intelligence is proposed. It makes the processes of tracing unstable periodic orbits, directing and mu...

We study classical and quantum dynamics of a particle in a circular billiard with a straight cut. Classically, this system can be integrable, nonintegrable with soft chaos, or nonintegrable with hard chaos as we vary the size of the cut. We plot Poincaré surfaces of section to study chaos. Quantum mechanically, we look at Husimi plots, and also use the quantum web, the technique primarily used ...