- Challenging continuous Newton's dynamics- Original theory and seeds of new researches in the field- Wide spectrum of applications in science and engineering- Systematic presentation and clear illustrations
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Chapter 1: Introduction
Chapter 2: Flow Passability and Tangential Flows
Chapter 3: Flow Switching Bifurcations
Chapter 4: Transversal Singularity and Bouncing Flows
Chapter 5: Real and Imaginary Flows
Chapter 6: Discontinuous Vector Fields with Flow Barriers
Chapter 7: Transport Laws and Mapping Dynamics
Chapter 8: Symmetry and Fragmentized Strange Attractor
Albert C.J. Luo received his B.S. in Mechanical Engineering (1984) and M.S. in Engineering Mechanics (1990) in China and Ph.D. in Applied Mechanics (1996) in Canada. During 1996-1998, he was an NSERC (Canada) post-doctoral fellow at UC Berkeley. From 1998-present, Dr. Luo have worked at Southern Illinois University Edwardsville as Assistant/Associate Professor. During 20 year research experience, Dr. Luo developed stochastic and resonant layer theories in nonlinear Hamiltonian systems; a local theory for non-smooth dynamical systems on connectable domains. In addition, Dr, Luo also developed an approximate plate theory; a large damage theory for anisotropic materials and a generalized fractal theory. He has published over 130 peer-reviewed journal and conference papers. Dr. Luo has served editors for the Journal "Communications in Nonlinear Science and Numerical simulation and two book series on Nonlinear Science and Complexity. Dr. Luo is the editorial member for IMeCh E Part K Journal of Multibody Dynamics and Journal of Vibration and Control. He also organized over 10 international symposiums and conferences on Dynamics and Control.