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.
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This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include · Chaotic Dynamics and Transport in Classic and Quantum Systems · Complexity and Nonlinearity in Molecular Dynamics and Nano-Science · Complexity and Fractals in Nonlinear Biological Physics and Social Systems · Lie Group Analysis and Applications in Nonlinear Science · Nonlinear Hydrodynamics and Turbulence · Bifurcation and Stability in Nonlinear Dynamic Systems · Nonlinear Oscillations and Control with Applications · Celestial Physics and Deep Space Exploration · Nonlinear Mechanics and Nonlinear Structural Dynamics · Non-smooth Systems and Hybrid Systems · Fractional dynamical systems
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