Discontinuity and Complexity in Nonlinear Physical Systems

Part I. Fractional Dynamics and Nonlinearity

1. Nonlinear Self-Adjointness for some Generalized KdV Equations
M. L. Gandarias, M. Rosa

2. Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations
M. S. Bruzón

3. Some Analytical Techniques in Fractional Calculus: Realities and Challenges
Dumitru Baleanu, Guo-Cheng Wu, Jun-Sheng Duan

4. Application of the Local Fractional Fourier Series to Fractal Signals
Xiao-Jun Yang, Dumitru Baleanu, J. A. Tenreiro Machado

5. Parameter Optimization of Fractional Order PI

λ

D
μ Controller Using Response Surface Methodology
Beyza Billur İskender, Necati Özdemir, Aslan Deniz Karaoglan

6. Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative
Arkadiusz Syta, Grzegorz Litak

7. Fractional Calculus: From Simple Control Solutions to Complex Implementation Issues
Cristina I. Muresan

8. Emerging Tools for Quantifying Unconscious Analgesia: Fractional-Order Impedance Models
Amélie Chevalier, Dana Copot, Clara M. Ionescu, J. A. Tenreiro Machado, Robin Keyser

Part II. Chaos and Complexity

9. 1D Cahn–Hilliard Dynamics: Coarsening and Interrupted Coarsening
Simon Villain-Guillot

10. Nonlinear Analysis of Phase-locked Loop-Based Circuits
R. E. Best, N. V. Kuznetsov, G. A. Leonov, M. V. Yuldashev, R. V. Yuldashev

11. Approaches to Defining and Measuring Assembly Supply Chain Complexity
V. Modrak, D. Marton

12. Non-commutative Tomography: Applications to Data Analysis
Françoise Briolle, Xavier Leoncini

13. Projective Synchronization of Two Gyroscope Systems with Different Motions
Fuhong Min, Albert C. J. Luo

14. Measuring and Analysing Nonlinearities in the Lung Tissue
Clara M. Ionescu

Part III. Discontinuous Dynamics

15. Drilling Systems: Stability and Hidden Oscillations
M. A. Kiseleva, N. V. Kuznetsov, G. A. Leonov, P. Neittaanmäki

16. Chaos in a Piecewise Linear System with Periodic Oscillations
Chunqing Lu

17. Basins of Attraction in a Simple Harvesting System with a Stopper
Marek Borowiec, Grzegorz Litak, Stefano Lenci

18. Analytical Dynamics of a Mass–Damper–Spring Constrained System
Albert C. J. Luo, Richard George

Part IV. Engineering and Financial Nonlinearity

19. Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations
Jia-Zhong Zhang, Yan Liu, Pei-Hua Feng, Jia-Hui Chen

20. Dynamics of Composite Milling: Application of Recurrence Plots to Huang Experimental Modes
G. Litak, R. Rusinek, K. Kecik, A. Rysak, A. Syta

21. The Dynamics of Shear-Type Frames Equipped with Chain-Based Nonlinear Braces
Enrico Babilio

22. In-Plane Free Vibration and Stability of High Speed Rotating Annular Disks and Rings
Hamid R. Hamidzadeh, Ehsan Sarfaraz

23. Patent Licensing: Stackelberg Versus Cournot Models
Oana Bode, Flávio Ferreira

24. Privatization and Government Preferences in a Mixed Duopoly: Stackelberg Versus Cournot
Fernanda A. Ferreira, Flávio Ferreira

Keywords: Engineering, Complexity, Statistical Physics, Dynamical Systems and Complexity, Theoretical, Mathematical and Computational Physics