Professor J. Q. Sun started working on random vibrations of nonlinear systems when he did his doctoral research at the University of California-Berkeley in 1980s. Since joining the faculty at the University of Delaware in 1994, he has successfully completed several research projects on analysis and control of stochastic systems. 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.

• DedicationPrefaceChapter 1. Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems (Pei Yu)Chapter 2. Grazing Flows in Discontinuous Dynamic Systems (Albert C.J. Luo)Chapter 3. Global Bifurcations of Complex Nonlinear Dynamical Systems with Cell Mapping Methods (Ling Hong and Jian-Qiao Sun)Chapter 4. Bifurcation Analysis of Nonlinear Dynamic Systems with Time-Periodic Coefficients (Alexandra Dàvid and S.C. Sinha)Chapter 5. Modal Interactions in Asymmetric Vibrations of Circular Plates (Won Kyoung Lee)

Professor J. Q. Sun started working on random vibrations of nonlinear systems when he did his doctoral research at the University of California-Berkeley in 1980s. Since joining the faculty at the University of Delaware in 1994, he has successfully completed several research projects on analysis and control of stochastic systems. 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.

• DedicationPrefaceChapter 1. Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems (Pei Yu)Chapter 2. Grazing Flows in Discontinuous Dynamic Systems (Albert C.J. Luo)Chapter 3. Global Bifurcations of Complex Nonlinear Dynamical Systems with Cell Mapping Methods (Ling Hong and Jian-Qiao Sun)Chapter 4. Bifurcation Analysis of Nonlinear Dynamic Systems with Time-Periodic Coefficients (Alexandra Dàvid and S.C. Sinha)Chapter 5. Modal Interactions in Asymmetric Vibrations of Circular Plates (Won Kyoung Lee)

Professor J. Q. Sun started working on random vibrations of nonlinear systems when he did his doctoral research at the University of California-Berkeley in 1980s. Since joining the faculty at the University of Delaware in 1994, he has successfully completed several research projects on analysis and control of stochastic systems. 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.

• DedicationPrefaceChapter 1. Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems (Pei Yu)Chapter 2. Grazing Flows in Discontinuous Dynamic Systems (Albert C.J. Luo)Chapter 3. Global Bifurcations of Complex Nonlinear Dynamical Systems with Cell Mapping Methods (Ling Hong and Jian-Qiao Sun)Chapter 4. Bifurcation Analysis of Nonlinear Dynamic Systems with Time-Periodic Coefficients (Alexandra Dàvid and S.C. Sinha)Chapter 5. Modal Interactions in Asymmetric Vibrations of Circular Plates (Won Kyoung Lee)