This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at the boundary in discontinuous dynamical systems. Based on such a theory, the authors address dynamics and motion mechanism of engineering discontinuous systems due to interaction. Stability and bifurcations of fixed points in nonlinear discrete dynamical systems are presented, and mapping dynamics are developed for analytical predictions of periodic motions in engineering discontinuous dynamical systems. Ultimately, the book provides an alternative way to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Introduces readers to system dynamics of interaction discontinuity, which clarifies a dynamics description of engineering systems to more closely resemble practical engineering, rather than the traditional smoothening of discontinuity Presents mapping dynamics for analytical predictions of periodic motions in engineering discontinuous dynamical systems Illustrates complex motions in engineering systems that mainly originate from interaction discontinuity and provide a systematical description, analysis and design for engineering

Autorentext

Dr. Albert C. J. Luo is a Distinguished Research Professor at the Southern Illinois University Edwardsville, in Edwardsville, IL, USA. Dr. Luo worked on Nonlinear Mechanics, Nonlinear Dynamics, and Applied Mathematics. He proposed and systematically developed: (i) the discontinuous dynamical system theory, (ii) analytical solutions for periodic motions in nonlinear dynamical systems, (iii) the theory of dynamical system synchronization, (iv) the accurate theory of nonlinear deformable-body dynamics, (v) new theories for stability and bifurcations of nonlinear dynamical systems. He discovered new phenomena in nonlinear dynamical systems. His methods and theories can help understanding and solving the Hilbert sixteenth problems and other nonlinear physics problems. The main results were scattered in 45 monographs in Springer, Wiley, Elsevier, and World Scientific, over 200 prestigious journal papers, and over 150 peer-reviewed conference papers.

Inhalt

1. Introduction.- 2. System Discontinuity and Switchability.- 3. A Theory for Flow Passability.- 4. Dynamical System Interaction.- 5. A Gear Transmission System.- 6. A Freight Train Suspension System.- Appendices.