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Provides useful tools in Lie group analysis to solve nonlinear partial differential equations. This work presents many of the important issues in nonlinear wave dynamics and nonlinear fluid mechanics. It also discusses fundamental problems and theories in classic and quantum dynamical systems.
Mathematical analysis --- Nonlinear theories --- 517.1 Mathematical analysis
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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.
Differentiable dynamical systems -- Congresses. --- Mathematical physics -- Congresses. --- Nonlinear theories -- Congresses. --- Nonlinear waves -- Congresses. --- Nonlinear theories --- Dynamics --- Engineering & Applied Sciences --- Computer Science --- Applied Physics --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Computer mathematics. --- Complexity, Computational. --- Complexity. --- Complex Systems. --- Computational Mathematics and Numerical Analysis. --- Applications of Mathematics. --- Statistical Physics and Dynamical Systems. --- Computer science --- Mathematics. --- Statistical physics. --- Physics --- Mathematical statistics --- Math --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Statistical methods --- Mathematics --- Computational complexity. --- Dynamical systems. --- Complexity, Computational --- Machine theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics
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