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.

Part I: Discontinuous Dynamics. General Solution of the Bagley-Torvik Equation with Fractional-Order Derivative. Nonlinear Dynamic Behaviors of Suspension Systems in Railway Trucks. Study on the Multifractal Spectrum of LAN Traffic and their Correlations. A Boundary Crisis in High Dimensional Chaotic Systems. Parametric Characteristics of Simple Discrete Maps. Study on the Performance of a Two-Degree-of-Freedom Chaotic Vibration Isolation System. Simulation and Nonlinear Analysis of Panel Flutter with Thermal Effect in Supersonic Flow.- Part II: Time Delay and Switching Systems. Control Studies of Time-Delayed Dynamical Systems with the Method of Continuous Time Apporximation. Stability and Hopf Bifurcation Analysis in Synpatically Coupled FHN Neurons with Two Time Delays. Control of Erosion of Safe Basins in a Single-Degree Yaw Equation Model by Delayed Position Feedbacks. Periodic Responses and Stability of Linear Switching Systems with Impulses. Study on Synchronization of Two Identical Uncoupled Neurons Induced By Noise. A Parameter Study of the Eccentricity Frequency and Amplitude of a Machine Tool with Multiple Boundaries.- Part III: Nonlinear Rotor Dynamics. Nonlinear Response in a Rotor System with a Coulomb Spine. The Influence of the Cross-Coupling Effects on the Dynamics of Rotor-Stator Rubbing. Order Reduction of a Two-Span Rotor-Bearing System via the Predictor-Corrector Galerkin Method.- Part IV: Classic Vibrations. Inversely Found Elastic and Dimensional Properties. Nonlinear Self-Defined Truss Elements Based on the Plane Truss Structure with Flexible Connector. Complex Frequency Analysis of an Axially moving String with Multiple Attached Oscillators by Green's Function Method. Model Reduction on Inertial Manifolds for Nonlinear Continuous Dynamical System and its Applications to N-S Equations Approached by Multilevel Finite Elements.- Part V: Stochastic Vibrations and Control. Non-Equilibrium Phase Transitions in aSingle-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 Based on Bistable Stochastic Resonance Denoising. Input Design for Systems Under Identification as Applied to Ultrasonic Transducers. Development of Control Systems for Automating of Spiral Concentrators in Coal Preparation Plants. On the Rough Numbers Computation and Ada Language.