This volume provides useful tools in Lie group analysis to solve nonlinear partial differential equations. Many of important issues in nonlinear wave dynamics and nonlinear fluid mechanics are presented: Homotopy techniques are used to obtain analytical solutions; fundamental problems and theories in classic and quantum dynamical systems are discussed; and numerous interesting results about dynamics and vibration in sensor and smart systems are presented. Interval computation and nonlinear modeling in dynamics and control are also briefly included.

Contents:

• Turbulence and Surface Gravity Waves on the Sun (N Mole et al.)
• A Fuzzy Blue Sky Catastrophe (J Q Sun & L Hong)
• Complex Dynamics in the Trajectory Control of Redundant Manipulators (B M Fernando Duarte et al.)
• Nonlinear Dynamics and Optimization of Spur Gears (F Pellicano et al.)
• Exact Solutions of a Second Grade Fluid in a Porous Medium (S Islam & C Y Zhou)
• Lump Solutions of 2D Generalized Gardner Equation (Y A Stepanyants et al.)
• In-Plane Free Vibrations of Compound High Speed Rotating Disks (H R Hamidzadeh)
• Nonlinear Dynamical Analysis of Micro Self-Acting Gas Journal Bearing (H Huang et al.)
• Nonlinear Characteristics of Magnetorheological Damper under Base Excitation (Y Li et al.)
• Spatial Signal Characteristics of Shallow Paraboloidal Shell Structronic System (H H Yue et al.)
• Application of Magnetorheological Elastomer to Vibration Control (H X Deng & X L Gong)
• and other papers