In the past decade, there have been some studies about control methods with the purpose of either reducing “bad” chaos or introducing “good” chaos [Chen & Dong, 1998]. Due to its great potential in nontraditional applications such as those found within the context of physical, chemical, mechanical, electrical, optical, and particularly, biological and medical systems [Chen et al., 2001; Schiff ...

totoday’s market place is increasingly dynamic and volatile. in this area supply network issues recently have attracted a lot of attention from industrial practitioners and academics worldwide. chaos theory is the study of complex, nonlinear, dynamic systems. for chaotic systems, a tiny change in conditions may result in an enormous change in system output, whereas substantial changes in condit...

In this paper, output feedback strategy for stabilization of a broad class of nonlinear systems is proposed. Using the Lyapunov function analysis, a simple adaptive control system in observer plus estimated state feedback form is presented. Moreover, robustness of the proposed method under modelling errors is discussed. Then in the last part, based on the proposed method, control of some well k...

The topic related to the coexistence of different synchronization types between fractional-order chaotic systems is almost unexplored in the literature. Referring to commensurate and incommensurate fractional systems, this paper presents a new approach to rigorously study the coexistence of some synchronization types between nonidentical systems characterized by different dimensions and differe...

In this paper we perform a global analysis of the dynamics of the Chen system ẋ = a(y − x), ẏ = (c− a)x− xz + cy, ż = xy − bz, where (x, y, z) ∈ R and (a, b, c) ∈ R. We give the complete description of its dynamics on the sphere at infinity. For six sets of the parameter values the system has invariant algebraic surfaces. In these cases we provide the global phase portrait of the Chen system an...

Some aspects of the theory of transport in chaotic Hamiltonian systems are reviewed and applied to a model potential for diffusion of Na atoms on a Cu(001) surface (Graham A P, Hofmann F, Toennies J P, Chen L Y and Ying S C 1997 Phys. Rev. Lett. 78 3900). Through a detailed investigation of the deterministic dynamics, we describe how normal and anomalous diffusion can take place, as well as the...

Various approaches of incorporating chaos into artificial neural networks have recently been proposed, and used successfully to solve combinatorial optimisation problems. This paper investigates three such approaches: 1) Chen & Aihara's transiently chaotic neural network with chaotic simulated annealing, which has a gradually decaying negative selfcoupling term; 2) Wang & Smith's chaotic simula...

In recent years, there has been an expanding research on the applications of fractional calculus to the areas of signal processing, modeling, and controls. Analog circuit implementation of chaotic systems is used in studying the nonlinear dynamical phenomena, as well as applied in realizing the controller development. In this paper, chain fractance and tree fractance circuits are constructed to...

a chaotic optimization algorithm (coa) based approach for the robust coordinated design of the upfc power oscillation damping controller and the conventional power system stabilizer has been investigated in this paper. chaotic optimization algorithms, which have the features of easy implementation, short execution time and robust mechanisms of escaping from local optimum, is a promising tool fo...

In this paper, a new hyperchaotic system is obtained by introducing an additional state, and adding two nonlinear terms of the original states and one linear term of the new state to the Chen chaotic system. Particular attention is given to globally exponential hyperchaos (time-delayed) synchronization and control for this hyperchaotic system. As a consequence, several families of control laws ...