Nowadays, one of the most studied phenomena is chaos into the nonlinear dynamical systems. For deterministic chaos to exist, a nonlinear dynamical system must have a dense set of periodic orbits and be transitive and sensitive to initial conditions. Their significance has been increased during the last decade because of several applications in diverse fields ranging from living systems, such as synchronization in neurobiology, chemical reactions among pancreatic cells, and social, economical, or political events, to nonliving systems including robotics, low power high-speed data transceivers for medical applications, chaotic electrochemical oscillators, encrypted communications, and control algorithms for motor drivers in electric vehicles. However, in order to exploit all the possible engineering applications, the open problems about chaotic systems need to be addressed by proposing novel theoretical and practical approaches focused on modeling, simulation, synthesis, design, control, and circuit implementation.
Munoz-Pacheco J.M., Volos C., Campos-Canton E., Taher Azar A., Pham V.-T., Radwan A.G.
Mathematical Problems in Engineering, Vol. 2017, Art. No. 3737681, Doi: 10.1155/2017/3737681