Dynamical Systems

by Luo, Albert C. J.

• ISBN13: 9781441957535
• ISBN10: 1441957537
• Edition: 1st
• Format: Hardcover
• Copyright: 2010-06-30
• Publisher: Springer Verlag

Summary

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.

Table of Contents

Nonlinear and Discontinuous Dynamical Systems
General Solution of a Vibration System with Damping Force of Fractional-Order Derivative	p. 3
An Analytic Proof for the Sensitivity of Chaos to Initial Condition and Perturbations	p. 13
Study on the Multifractal Spectrum of Local Area Networks Traffic and Their Correlations	p. 23
A Boundary Crisis in High Dimensional Chaotic Systems	p. 31
Complete Bifurcation Behaviors of a Henon Map	p. 37
Study on the Performance of a Two-Degree-of-Freedom Chaotic Vibration Isolation System	p. 49
Simulation and Nonlinear Analysis of Panel Flutter with Thermal Effects in Supersonic Flow	p. 61
A Parameter Study of a Machine Tool with Multiple Boundaries	p. 77
A New Friction Mode! for Evaluating Energy Dissipation in Carbon Nanotube-Based Composites	p. 95
Nonlinear Response in a Rotor System With a Coulomb Spline	p. 105
The Influence of the Cross-Coupling Effects on the Dynamics of Rotor/Stator Rubbing	p. 121
Time-delay Systems
Some Control Studies of Dynamical Systems with Time Delay	p. 135
Stability and Hopf Bifurcation Analysis in Synaptically Coupled FHN Neurons with Two Time Delays	p. 157
On the Feedback Controlling of the Neuronal System with Time Delay	p. 169
Control of Erosion of Safe Basins in a Single Degree of Freedom Yaw System of a Ship with a Delayed Position Feedback	p. 177
Switching and Stochastic Dynamical Systems
On Periodic Flows of a 3-D Switching System with Many Subsystems	p. 189
Impulsive Control Induced Effects on Dynamics of Complex Networks	p. 203
Study on Synchronization of Two Identical Uncoupled Neurons Induced by Noise	p. 217
Non-equilibrium Phase Transitions in a Single-Mode Laser Model Driven by Non-Gaussian Noise	p. 223
Dynamical Properties of Intensity Fluctuation of Saturation Laser Model Driven by Cross-Correlated Additive and Multiplicative Noises	p. 233
Empirical Mode Decomposition Based on Bistable Stochastic Resonance Denoising	p. 251
Classic Vibrations and Control
Order Reduction of a Two-Span Rotor-Bearing System Via the Predictor-Corrector Galerkin Method	p. 263
Stiffness Nonlinearity Classification Using Morlet Wavelets	p. 275
Dynamics of Wire-Driven Machine Mechanisms: Literature Review	p. 285
Dynamics of Wire-Driven Machine Mechanisms, Part II: Theory and Applications	p. 299
On Analytical Methods for Vibrations of Soils and Foundations	p. 319
Inversely Found Elastic and Dimensional Properties	p. 341
Nonlinear Self-Defined Truss Element Based on the Plane Truss Structure with Flexible Connector	p. 357
Complex Frequency Analysis of an Axially Moving String with Multiple Attached Oscillators by Using Green's Function Method	p. 371
Model Reduction on Inertial Manifolds of Navier-Stokes Equations Through Multi-scale Finite Element	p. 383
Diesel Engine Condition Classification Based on Mechanical Dynamics and Time-Frequency Image Processing	p. 397
Input Design for Systems Under Identification as Applied to Ultrasonic Transducers	p. 409
Development of a Control System for Automating of Spiral Concentrators in Coal Preparation Plants	p. 421
On the Rough Number Computation and the Ada Language	p. 437
Author Index	p. 449
Subject Index	p. 461
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