Discontinuity and Complexity in Nonlinear Physical Systems

This unique book explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonline...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Machado, J. A. Tenreiro (Editor ), Baleanu, Dumitru (Editor ), Luo, Albert C J. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Nonlinear Systems and Complexity, 6
Temas:
Dynamics.
Nonlinear theories.
System theory.
Mathematical physics.
Applied Dynamical Systems.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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 PIλ Dμ 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: Stackelberg versus Cournot.

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