Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems. Furthermore, it offers an array of new, real-world applications in the field. Written by eminent scientists in the field of control theory and nonlinear systems from 19 countries (Cameroon, China, Ethiopia, France, Greece, India, Italia, Iran, Japan, Mexico, and more), this book covers the latest advances in chaos theory, along with the efficiency of novel synchronization approaches.
Readers will find the fundamentals and algorithms related to the analysis and synchronization of chaotic systems, along with key applications, including electronic design, text and image encryption, and robot control and tracking.
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Table of Contents
Part I. New Chaotic Systems: Design and Analysis 1. Experimental observations and circuit realization of a jerk chaotic system with piecewise nonlinear function 2. Analytical, numerical and experimental analysis of a RC chaotic circuit with diodes in anti-parallel 3. Chaos in a system with parabolic equilibrium 4. A new four-dimensional chaotic system with no equilibrium point 5. A new five-dimensional multi-stable chaotic system with hidden attractors 6. Extreme Multistability in a Hyperjerk Memristive System with Hidden Attractors 7. Parameter estimation in a new chaotic system by the help of GMM based cost function
Part II. Real World Applications 8. Virtualization of Chua's circuit state space 9. Some new chaotic maps with engineering applications 10. Chaotic solutions in a forced two-dimensional Hindmarsh-Rose neuron 11. Period-Doubling bifurcation and Chaos in a new algebraic structure of predator-prey BB-model 12. Chaotic path planning for a two-link flexible manipulator using composite control techniques
Part III. New trends in Chaos Synchronization 13. Robust Synchronization of Master Slave Chaotic Systems: A Continuous Sliding-Mode Control Approach with Experimental Study 14. A four-dimensional chaotic system with one and without equilibrium points: dynamical analysis and its application to text encryption 15. FPGA implementation of chaotic oscillators, their synchronization and application to secure communications 16. On discrete-time hyperchaotic systems synchronization: Toward secure image transmission 17. Fractional-Order Hybrid Synchronization for Multiple Hyperchaotic Systems