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

Part I Nonlinear Dynamics of Continuous and Discontinuous Dynamical Systems; Part II Lie Group Analysis and Applications in Nonlinear Sciences; Part III Celestial Mechanics and Dynamical Astronomy: Methods and Applications; Part IV Mathematical Modeling of Nonlinear Structures in Bose-Einstein; Part V Mathematical Models in Engineering; Part VI Fractional Calculus Applications; Part VII Computational Techniques for Engineering Sciences; Part VIII Nonlinear Systems; Index