Chaotic Economic Dynamics.

Control of a Chemical Reactor with Chaotic Dynamics

In this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. The reactor shows chaotic behavior for a certain set of reactor parameters. In order to control the product concentration, an optimal state feedback controller has been designed. Since concentrations of reactor species are ...

Chaotic dynamics and synchronization of fractional order PMSM ‎system

‎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...

Chaotic Synchronization in Economic Networks

Synchronization, long an important topic in the theory of nonlinear oscillation, has recently become a research frontier in chaos theory as well. Here we introduce the sync phenomenon for forced and coupled Rössler attractors, and its role in the context of complex economic systems. And we extend the basic framework developed by the late Richard Goodwin in his book, Chaotic Economic Dynamics, o...

Chaotic Dynamics Using Electrical

Developments in Chaotic Dynamics

Dynamical systems as a mathematical discipline goes back to Poincaré, who developed a qualitative approach to problems that arose from celestial mechanics. The subject expanded considerably in scope and underwent some fundamental changes in the last three decades. Today it stands at the crossroad of several areas of mathematics including analysis, geometry, topology, probability, and mathematic...