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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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