Discontinuity and Complexity in Nonlinear Physical Systems

Editors:

ISBN: 978-3-319-01410-4 (Print) 978-3-319-01411-1 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages i-xiii

  2. Fractional Dynamics and Nonlinearity

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-21

      Nonlinear Self-Adjointness for some Generalized KdV Equations

    3. No Access

      Chapter

      Pages 23-34

      Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations

    4. No Access

      Chapter

      Pages 35-62

      Some Analytical Techniques in Fractional Calculus: Realities and Challenges

    5. No Access

      Chapter

      Pages 63-89

      Application of the Local Fractional Fourier Series to Fractal Signals

    6. No Access

      Chapter

      Pages 91-105

      Parameter Optimization of Fractional Order PI λ D μ Controller Using Response Surface Methodology

    7. No Access

      Chapter

      Pages 107-112

      Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative

    8. No Access

      Chapter

      Pages 113-134

      Fractional Calculus: From Simple Control Solutions to Complex Implementation Issues

    9. No Access

      Chapter

      Pages 135-149

      Emerging Tools for Quantifying Unconscious Analgesia: Fractional-Order Impedance Models

  3. Chaos and Complexity

    1. Front Matter

      Pages 151-151

    2. No Access

      Chapter

      Pages 153-168

      1D Cahn–Hilliard Dynamics: Coarsening and Interrupted Coarsening

    3. No Access

      Chapter

      Pages 169-192

      Nonlinear Analysis of Phase-locked Loop-Based Circuits

    4. No Access

      Chapter

      Pages 193-213

      Approaches to Defining and Measuring Assembly Supply Chain Complexity

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      Chapter

      Pages 215-254

      Non-commutative Tomography: Applications to Data Analysis

    6. No Access

      Chapter

      Pages 255-272

      Projective Synchronization of Two Gyroscope Systems with Different Motions

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      Chapter

      Pages 273-283

      Measuring and Analysing Nonlinearities in the Lung Tissue

  4. Discontinuous Dynamics

    1. Front Matter

      Pages 285-285

    2. No Access

      Chapter

      Pages 287-304

      Drilling Systems: Stability and Hidden Oscillations

    3. No Access

      Chapter

      Pages 305-313

      Chaos in a Piecewise Linear System with Periodic Oscillations

    4. No Access

      Chapter

      Pages 315-321

      Basins of Attraction in a Simple Harvesting System with a Stopper

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      Chapter

      Pages 323-343

      Analytical Dynamics of a Mass–Damper–Spring Constrained System

  5. Engineering and Financial Nonlinearity

    1. Front Matter

      Pages 345-345

    2. No Access

      Chapter

      Pages 347-358

      Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations

    3. No Access

      Chapter

      Pages 359-367

      Dynamics of Composite Milling: Application of Recurrence Plots to Huang Experimental Modes

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