Discontinuity and Complexity in Nonlinear Physical Systems

1. Auflage 2014
ISBN: 978-3-319-01410-4
Verlag: Springer

Buch, Englisch, 433 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 8734 g

Reihe: Nonlinear Systems and Complexity

Discontinuity in Nonlinear Physical Systems 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 nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis. Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.

Zielgruppe

Research

Autoren/Hrsg.

Machado, J. A. Tenreiro

Baleanu, Dumitru

Luo, Albert C J

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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.- Nonlinear self-adjointness for some generalized KdV equations.- Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers equations.- Energy dissipation through viscoelastic chain-based devices.- Simulation of Costas loop in phase-frequency space for general case of signals waveforms.- Simulation of drilling systems models and hidden oscillations.- Dynamical response of a Van der Pol system with an external harmonic excitation and fractional derivative.- Basins of attraction in a simple harvesting system with a stopper.- Milling of composites by recurrence plots and Hilbert-Huang transform.- Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations.- Approaches for defining and measuring assembly supply chains complexity.- Tuning of Fractional order PI^lamda D^mu controller with Responce surface methodology.- Chaos in a piecewise linear system with periodic excitation.- 1D Cahn-Hilliard dynamics: coarsening and interrupted coarsening.- Tomographic analysis: a tool for detection and characterization of Lévy flights in chaotic trajectories.- Analytical dynamics of nonlinear rotating blades under parametric excitation.- Dynamical synchronization of two gyroscope systems.- Analytical dynamics of a mass-damper-spring constrained system.- Fractional Maps as Maps with Memory.- New Trends in the Computational Methods in the Fractional Calculus.- Application of the local fractional Fourier series to fractal signals.- Analysis of the DNA Information.

Über Autor(innen)

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