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