‎In this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractional-order PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme  is simple and flexible, and it is suitable both fo...

Abstract. In this paper, the linear feedback controlling of a novel chaotic system is discussed. The chaotic system is a new attractor which is similar to the Lorenz chaotic attractor, but it is not topological equivalent with the Lorenz chaotic system. This Letter proposes a novel approach for controlling this new attractor by linear feedback functions. The results obtained in this paper show ...

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 ...

This paper proposes a novel four-dimensional autonomous system which has complex chaotic dynamics behaviors and gives analysis of novel system. More importantly, the novel system can generate three-layer chaotic attractor, four-layer chaotic attractor, five-layer chaotic attractor, multilayer chaotic attractor by choosing different parameters and initial condition. We analyze the new system by ...

This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display (i) two 1-scroll chaotic attractors simultaneously, with only three equilibria, and (ii) two 2-scroll chaotic attractors simultaneously, with five equilibria. Several issues such as some basic dynamical behaviors, routes to chaos, bifurcations, periodic windo...

A chaotic transmitter and a synchronized chaotic receiver have been designed in a 0.25um CMOS process. Both transmitter and receiver use conversions between voltage and time to implement nonlinear tent-map functions. The transmitter outputs chaotic pulse position modulated (C-PPM) data as a stream of 2.3V p-p pulses of <1ns duration. The chaotic receiver uses the timing information between puls...

Using both experimental and theoretical results, this Letter describes how low-energy, feedback control signals can be successfully utilized to suppress (laminarize) chaotic flow in a thermal convection loop. Disciplines Engineering | Mechanical Engineering Comments Suggested Citation: Singer, Jonathan, Y-Z Wang, and Haim H. Bau. (1991) Controlling a Chaotic System. Physical Review Letters. Vol...

Recently many chaotic circuits are designed to generate chaos. The ability to synchronize chaotic circuits opens number of ways to use them in signal masking applications. This paper gives a brief overview of three dimensional autonomous chaotic systems which is represented by simple quadratic differential equations. A new autonomous chaotic system is introduced and compared with some existing ...

this paper examines critically the contributions of cournot, jevons and walras as the founders of classical mathematical economics from a methodological standpoint. advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...

which is chaotic on a particular parameter set, (σ, ρ, β) = (10, 28, 8/3)1 in the real parameter space of the general system (1); but for other parameter sets, system (1) may not be chaotic. The chaotic Lorenz system (2) has received sustained research interest in the literature since its discovery. For example, in [Tucker, 1999; Stewart, 2000], a rigorous proof confirms the existence of the ch...