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This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. S
Differential Galois Theory and Non-Integrability of Hamiltonian Systems
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This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and t
Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis
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This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an int
Integrability of Dynamical Systems: Algebra and Analysis
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This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on t
Symmetries and Singularity Structures
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Symmetries and singularity structures play important roles in the study of nonlinear dynamical systems. It was Sophus Lie who originally stressed the importance