Discontinuity and Complexity in Nonlinear Physical Systems

Part I: Fractional Dynamics and Nonlinearity.- Nonlinear Self-Adjointness for Some Generalized KdV Equations.- Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations.- Some Analytical Techniques in Fractional Calculus: Realities and Challenges.-Application of the Local Fractional Fourier Series to Fractal Signals.-Parameter Optimization of Fractional Order PI Dmi Controller Using Response Surface Methodology.- Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative.- Fractional Calculus: From Simple Control Solutions to Complex Implementation Issues.- Emerging Tools for Quantifying Unconscious Analgesia: Fractional Order Impedance Models.- Part II: Chaos and Complexity.- 1D Cahn-Hilliard Dynamics: Coarsening and Interrupted Coarsening.- Nonlinear Analysis of Phase-locked Loop Based Circuits.- Approaches for Defining and Measuring Assembly Supply Chain Complexity.- Non-commutative Tomography: Applications to Data Analysis.- Projective Synchronization of Two Gyroscope Systems with Different Motions.- Measuring and Analysing Nonlinearities in the Lung Tissue.- Part III: Discontinuous Dynamics.- Drilling Systems Models and Hidden Oscillations.- Chaos in a Piecewise Linear System with Periodic Excitation.- Basins of Attraction in a Simple Harvesting System with a Stopper.- Analytical Dynamics of a Mass-Damper-Spring Constrained System.- Part IV: Engineering and Financial Nonlinearity.- Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations.- Dynamics of Composite Milling: Application of Recurrence Plots to Huang Experimental Modes.- The Dynamics of Shear-Type Frames Equipped with Chain-Based Nonlinear Braces.- In-Plane Free Vibration and Stability Analysis of High Speed Rotating Disks and Rings.- Patent Licensing: Stackelberg versus Cournot Models.- Privatization and Government Preferences in a Mixed Duopoly: Stackelbergversus Cournot.

José António Tenreiro Machado is Professor, Institute of Engineering, Polytechnic of Porto, Portugal; Dumitru Baleanu is Professor, Department of Mathematics and Computer SciencesCankaya University, Turkey;  Albert Luo is Professor of Mechanical ngineering, Southern Illinois University/Edwardsville, USA