Dynamical Systems: Discontinuity, Stochasticity and Time-Delay

✍ Scribed by Z. H. Wang, X. Wang (auth.), Albert C.J. Luo (eds.)

• Publisher: Springer-Verlag New York
• Year: 2010
• Tongue: English
• Leaves: 458
• Edition: 1
• Category: Library

✦ Synopsis

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. This volume also:

• Discusses discontinuous dynamical systems as applied to real-world issues, like the behavior of suspension systems in railways, the multifractal spectrum of LAN traffic and their correlations, as well as the effect of nonlinear vibration and applied control on coal manufacturing.
• Includes material on time-delay systems as they relate to linear switching systems, dynamics of complex networks and machine tools with multiple boundaries.
• Presents numerous theories and aspects of vibration and control, using worked mathematical examples and empirical evidence to argue the pros and cons of all theories.

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay 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

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
General Solution of a Vibration System with Damping Force of Fractional-Order Derivative....Pages 3-11
An Analytic Proof for the Sensitivity of Chaos to Initial Condition and Perturbations....Pages 13-21
Study on the Multifractal Spectrum of Local Area Networks Traffic and Their Correlations....Pages 23-30
A Boundary Crisis in High Dimensional Chaotic Systems....Pages 31-36
Complete Bifurcation Behaviors of a Henon Map....Pages 37-47
Study on the Performance of a Two-Degree-of-Freedom Chaotic Vibration Isolation System....Pages 49-60
Simulation and Nonlinear Analysis of Panel Flutter with Thermal Effects in Supersonic Flow....Pages 61-76
A Parameter Study of a Machine Tool with Multiple Boundaries....Pages 77-94
A New Friction Model for Evaluating Energy Dissipation in Carbon Nanotube-Based Composites....Pages 95-104
Nonlinear Response in a Rotor System With a Coulomb Spline....Pages 105-120
The Influence of the Cross-Coupling Effects on the Dynamics of Rotor/Stator Rubbing....Pages 121-132
Front Matter....Pages 134-134
Some Control Studies of Dynamical Systems with Time Delay....Pages 135-155
Stability and Hopf Bifurcation Analysis in Synaptically Coupled FHN Neurons with Two Time Delays....Pages 157-167
On the Feedback Controlling of the Neuronal System with Time Delay....Pages 169-175
Control of Erosion of Safe Basins in a Single Degree of Freedom Yaw System of a Ship with a Delayed Position Feedback....Pages 177-185
Front Matter....Pages 188-188
On Periodic Flows of a 3-D Switching System with Many Subsystems....Pages 189-201
Impulsive Control Induced Effects on Dynamics of Complex Networks....Pages 203-216
Study on Synchronization of Two Identical Uncoupled Neurons Induced by Noise....Pages 217-221
Non-equilibrium Phase Transitions in a Single-Mode Laser Model Driven by Non-Gaussian Noise....Pages 223-231
Dynamical Properties of Intensity Fluctuation of Saturation Laser Model Driven by Cross-Correlated Additive and Multiplicative Noises....Pages 233-249
Front Matter....Pages 188-188
Empirical Mode Decomposition Based on Bistable Stochastic Resonance Denoising....Pages 251-259
Front Matter....Pages 262-262
Order Reduction of a Two-Span Rotor-Bearing System Via the Predictor-Corrector Galerkin Method....Pages 263-273
Stiffness Nonlinearity Classification Using Morlet Wavelets....Pages 275-284
Dynamics of Wire-Driven Machine Mechanisms: Literature Review....Pages 285-298
Dynamics of Wire-Driven Machine Mechanisms, Part II: Theory and Applications....Pages 299-317
On Analytical Methods for Vibrations of Soils and Foundations....Pages 319-340
Inversely Found Elastic and Dimensional Properties....Pages 341-355
Nonlinear Self-Defined Truss Element Based on the Plane Truss Structure with Flexible Connector....Pages 357-370
Complex Frequency Analysis of an Axially Moving String with Multiple Attached Oscillators by Using Green’s Function Method....Pages 371-381
Model Reduction on Inertial Manifolds of Navier–Stokes Equations Through Multi-scale Finite Element....Pages 383-396
Diesel Engine Condition Classification Based on Mechanical Dynamics and Time-Frequency Image Processing....Pages 397-408
Input Design for Systems Under Identification as Applied to Ultrasonic Transducers....Pages 409-420
Development of a Control System for Automating of Spiral Concentrators in Coal Preparation Plants....Pages 421-435
On the Rough Number Computation and the Ada Language....Pages 437-447
Back Matter....Pages 449-464

✦ Subjects

Vibration, Dynamical Systems, Control; Control, Robotics, Mechatronics; Mechanical Engineering; Systems Theory, Control