<p><P><EM>Dynamical Systems: Discontinuous, Stochasticity and Time-Delay</EM> 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
Dynamical Systems: Discontinuity, Stochasticity and Time-Delay
β Scribed by Albert C.J. Luo
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β¦ Table of Contents
Dynamical Systems
Preface
Contents
Contributors
Part I Nonlinear and Discontinuous Dynamical Systems
1 General Solution of a Vibration System with Damping Force of Fractional-Order Derivative
2 An Analytic Proof for the Sensitivity of Chaos to Initial Condition and Perturbations
3 Study on the Multifractal Spectrum of Local Area Networks Traffic and Their Correlations
4 A Boundary Crisis in High Dimensional Chaotic Systems
5 Complete Bifurcation Behaviors of a Henon Map
6 Study on the Performance of a Two-Degree-of-Freedom Chaotic Vibration Isolation System
7 Simulation and Nonlinear Analysis of Panel Flutter with Thermal Effects in Supersonic Flow
8 A Parameter Study of a Machine Tool with Multiple Boundaries
9 A New Friction Model for Evaluating Energy Dissipation in Carbon Nanotube-Based Composites
10 Nonlinear Response in a Rotor System With a Coulomb Spline
11 The Influence of the Cross-Coupling Effects on the Dynamics of Rotor/Stator Rubbing
Part II Time-delay Systems
12 Some Control Studies of Dynamical Systems with Time Delay
13 Stability and Hopf Bifurcation Analysis in Synaptically Coupled FHN Neurons with Two Time Delays
14 On the Feedback Controlling of the Neuronal Systemwith Time Delay
15 Control of Erosion of Safe Basins in a Single Degree of Freedom Yaw System of a Ship with a Delayed Position Feedback
Part III Switching and Stochastic Dynamical Systems
16 On Periodic Flows of a 3-D Switching System with Many Subsystems
17 Impulsive Control Induced Effects on Dynamicsof Complex Networks
18 Study on Synchronization of Two Identical Uncoupled Neurons Induced by Noise
19 Non-equilibrium Phase Transitions in a Single-Mode Laser Model Driven by Non-Gaussian Noise
20 Dynamical Properties of Intensity Fluctuation of Saturation Laser Model Driven by Cross-Correlated Additive and Multiplicative Noises
21 Empirical Mode Decomposition Based on Bistable Stochastic Resonance Denoising
Part IV Classic Vibrations and Control
22 Order Reduction of a Two-Span Rotor-Bearing System Via the Predictor-Corrector Galerkin Method
23 Stiffness Nonlinearity Classification Using Morlet Wavelets
24 Dynamics of Wire-Driven Machine Mechanisms: Literature Review
25 Dynamics of Wire-Driven Machine Mechanisms, Part II: Theory and Applications
26 On Analytical Methods for Vibrations of Soils and Foundations
27 Inversely Found Elastic and Dimensional Properties
28 Nonlinear Self-Defined Truss Element Based on the Plane Truss Structure with Flexible Connector
29 Complex Frequency Analysis of an Axially Moving String with Multiple Attached Oscillators by Using Green's Function Method
30 Model Reduction on Inertial Manifolds of NavierβStokes Equations Through Multi-scale Finite Element
31 Diesel Engine Condition Classification Based on Mechanical Dynamics and Time-Frequency Image Processing
32 Input Design for Systems Under Identification as Applied to Ultrasonic Transducers
33 Development of a Control System for Automating of SpiralConcentrators in Coal Preparation Plants
34 On the Rough Number Computation and the Ada Language
Author Index
Subject Index
π SIMILAR VOLUMES
<p>Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their conΒ trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alternaΒ ti
<p><br><p>This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay syste
<p><p><br>Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential eq
Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations ha
<p><p><br>Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential eq