Chaos behavior and Synchronization in fractional and integer-order chaotic systems

The problem of designing a response system, which follows the behavior of a drive system, is called synchronization. Synchronization is one of the most interesting phenomena observed in many systems. Therefore, synchronization has applications in many interdisciplinary areas ranging from biology to engineering, chemistry, medicine, and social sciences. Furthermore, there is a close relationship between synchronization and control. However, from the viewpoint of control, synchronization of chaotic systems is challenging because of their ergodicity, sensitivity to initial conditions, deterministic dynamics, and structural complexity. As a result, different types of synchronization have emerged, such as complete, lag, phase, bubbling, and generalized synchronization, to mention a few. Nowadays, the synchronization of fractional and integer-order chaotic systems is more attractive due to its potential applications in cryptography and signal processing, to mention a few.
Potential topics include, but are not limited to, the following:
• Analytical–numerical methods for investing hidden oscillations
• Bifurcation and chaos in complex systems
• Designing new nonlinear systems with desired features
• Electronic implementation of nonlinear systems
• Extreme multistability
• Fractional order dynamical systems
• Variable order dynamical systems
• Hidden attractors in complex systems
• New methods of control and synchronization nonlinear systems
• Nonlinear dynamics and chaos in engineering applications
• Chaos-based cryptography
• Novel computation algorithms for studying nonlinear systems
• Oscillations and chaos in dynamic economic models
• Oscillations and chaos in dynamic biological models

Organizers:
Dr. Jesus M. Muñoz Pacheco
Faculty of Electronics Sciences
Autonomous University of Puebla, Mexico

Dr. Ernesto Zambrano Serrano
Facultad de Ingeniería Mecánica Eléctrica
Autonomous University of Nuevo León, Mexico