Albert C.J. Luo is an internationally recognized professor in nonlinear dynamics and mechanics. He is a Distinguished Research Professor at Southern Illinois University Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian chaos, nonlinear deformable-body dynamics, discontinuous dynamical systems, regularity and complexity in nonlinear systems, analytical and numerical solutions of differential equations. Bo Yu is an assistant professor at University of Wisconsin Platteville, USA. His research interests lie in nonlinear dynamics and fluid-induced vibrations.

• Introduction.- Nonlinear Dynamical Systems.- Analytical Methods.- A Quadratic Nonlinear Oscillator.- Two-degree-of-freedom Nonlinear Oscillators.- Linear Cable Galloping.- Nonlinear Cable Galloping.- Appendix.

Albert C.J. Luo is an internationally recognized professor in nonlinear dynamics and mechanics. He is a Distinguished Research Professor at Southern Illinois University Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian chaos, nonlinear deformable-body dynamics, discontinuous dynamical systems, regularity and complexity in nonlinear systems, analytical and numerical solutions of differential equations. Bo Yu is an assistant professor at University of Wisconsin Platteville, USA. His research interests lie in nonlinear dynamics and fluid-induced vibrations.

• Introduction.- Nonlinear Dynamical Systems.- Analytical Methods.- A Quadratic Nonlinear Oscillator.- Two-degree-of-freedom Nonlinear Oscillators.- Linear Cable Galloping.- Nonlinear Cable Galloping.- Appendix.

Albert C.J. Luo is an internationally recognized professor in nonlinear dynamics and mechanics. He is a Distinguished Research Professor at Southern Illinois University Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian chaos, nonlinear deformable-body dynamics, discontinuous dynamical systems, regularity and complexity in nonlinear systems, analytical and numerical solutions of differential equations. Bo Yu is an assistant professor at University of Wisconsin Platteville, USA. His research interests lie in nonlinear dynamics and fluid-induced vibrations.

• Introduction.- Nonlinear Dynamical Systems.- Analytical Methods.- A Quadratic Nonlinear Oscillator.- Two-degree-of-freedom Nonlinear Oscillators.- Linear Cable Galloping.- Nonlinear Cable Galloping.- Appendix.