Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

Part I. Nonlinear Dynamical Systems with Self-Excited Attractors

1. Bifurcation Analysis and Chaotic Behaviors of Fractional-Order Singular Biological Systems
Komeil Nosrati, Christos Volos

2. Chaos and Bifurcation in Controllable Jerk-Based Self-Excited Attractors
Wafaa S. Sayed, Ahmed G. Radwan, Hossam A. H. Fahmy

3. Self-Excited Attractors in Jerk Systems: Overview and Numerical Investigation of Chaos Production
Wafaa S. Sayed, Ahmed G. Radwan, Salwa K. Abd-El-Hafiz

4. Synchronization Properties in Coupled Dry Friction Oscillators
Michał Marszal, Andrzej Stefański

5. Backstepping Control for Combined Function Projective Synchronization Among Fractional Order Chaotic Systems with Uncertainties and External Disturbances
Vijay K. Yadav, Mayank Srivastava, Subir Das

6. Chaotic Business Cycles within a Kaldor-Kalecki Framework
Giuseppe Orlando

7. Analysis of Three-Dimensional Autonomous Van der Pol–Duffing Type Oscillator and Its Synchronization in Bistable Regime
Gaetan Fautso Kuiate, Victor Kamdoum Tamba, Sifeu Takougang Kingni

8. Dynamic Analysis, Electronic Circuit Realization of Mathieu-Duffing Oscillator and Its Synchronization with Unknown Parameters and External Disturbances
Victor Kamdoum Tamba, François Kapche Tagne, Elie Bertrand Megam Ngouonkadi, Hilaire Bertrand Fotsin

9. An Autonomous Helmholtz Like-Jerk Oscillator: Analysis, Electronic Circuit Realization and Synchronization Issues
Victor Kamdoum Tamba, Gaetan Fautso Kuiate, Sifeu Takougang Kingni, Pierre Kisito Talla

10. Synchronization in Kuramoto Oscillators Under Single External Oscillator
Gokul P. M., V. K. Chandrasekar, Tomasz Kapitaniak

11. Analysis, Circuit Design and Synchronization of a New Hyperchaotic System with Three Quadratic Nonlinearities
A. A. Oumate, S. Vaidyanathan, K. Zourmba, B. Gambo, A. Mohamadou

12. A New Chaotic Finance System: Its Analysis, Control, Synchronization and Circuit Design
Babatunde A. Idowu, Sundarapandian Vaidyanathan, Aceng Sambas, Olasunkanmi I. Olusola, O. S. Onma

Part II. Nonlinear Dynamical Systems with Hidden Attractors

13. Periodic Orbits, Invariant Tori and Chaotic Behavior in Certain Nonequilibrium Quadratic Three-Dimensional Differential Systems
Alisson C. Reinol, Marcelo Messias

14. Existence and Control of Hidden Oscillations in a Memristive Autonomous Duffing Oscillator
Vaibhav Varshney, S. Sabarathinam, K. Thamilmaran, M. D. Shrimali, Awadhesh Prasad

15. A Novel 4-D Hyperchaotic Rikitake Dynamo System with Hidden Attractor, its Properties, Synchronization and Circuit Design
Sundarapandian Vaidyanathan, Viet-Thanh Pham, Christos Volos, Aceng Sambas

16. A Six-Term Novel Chaotic System with Hidden Attractor and Its Circuit Design
Aceng Sambas, Sundarapandian Vaidyanathan, Mustafa Mamat, W. S. Mada Sanjaya

17. Synchronization Phenomena in Coupled Dynamical Systems with Hidden Attractors
C. K. Volos, Viet-Thanh Pham, Ahmad Taher Azar, I. N. Stouboulos, I. M. Kyprianidis

18. 4-D Memristive Chaotic System with Different Families of Hidden Attractors
Dimitrios A. Prousalis, Christos K. Volos, Viet-Thanh Pham, Ioannis N. Stouboulos, Ioannis M. Kyprianidis

19. Hidden Chaotic Path Planning and Control of a Two-Link Flexible Robot Manipulator
Kshetrimayum Lochan, Jay Prakash Singh, Binoy Krishna Roy, Bidyadhar Subudhi

20. 5-D Hyperchaotic and Chaotic Systems with Non-hyperbolic Equilibria and Many Equilibria
Jay Prakash Singh, Binoy Krishna Roy

Keywords: Engineering, Computational Intelligence, Complex Systems, Complexity