The dynamics of fractional-order systems have attracted increasing attentions in recent
years. In this paper, we numerically study the chaotic behaviors in the fractional-order …

In the literature on dynamical systems analysis and the control of systems with complex
behavior, the topic of synchronization of the response of systems has received considerable …

In this Letter we numerically investigate the chaotic behaviors of the fractional-order Lü
system. A striking finding is that the lowest order for this system to have chaos is 0.3, which is …

An algorithm for searching hidden oscillations in dynamic systems is developed to help
solve the Aizerman's, Kalman's and Markus-Yamabe's conjectures well-known in control …

Controlling chaos is a process wherein an unstable periodic orbit embedded in a chaotic
attractor is stabilized by means of tiny perturbations of the system. These perturbations imply …

In this book, the reader will find a theoretical introduction to noninteger order systems, as
well as several applications showing their features and peculiarities. The main definitions …

In this paper, a simple system showing chaotic behavior is introduced. It is based on the well-
known concept of cellular neural networks (CNNs), which have already given good results in …

The harmonic balance method is applied to the analysis of period-doubling bifurcations in a
general class of nonlinear feedback systems. Compact conditions for the prediction and …

Conventional digital computation methods have run into a se rious speed bottleneck due to
their serial nature. To overcome this problem, a new computation model, called Neural …

Fast chaotic dynamics in a diode resonator are controlled using a continuous feedback
scheme proposed by Pyragas [Phys. Lett. A 181, 203 (1993)]. The resonator is driven by a …