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This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.
Contents Volume 1: celestial mechanics; homoclinic tangencies; singular perturbations; stochastic systems; symmetry; topological methods and Conley Index; delay equations; geometric dynamics; hyperbolic conservation laws; hyperbolic wave equations; hysteresis; large domains; lattice dynamical systems; microstructure; nonlinear functional analysis; variational methods; viscosity solutions; global attractors and limits; nonautonomous attractors; order-preserving dynamical systems; qualitative theory of parabolic equations; stability of fronts and pulses. Volume 2: computer algebra tools; control and optimization; dynamics and algorithms; exponentially small phenomena; geometric integrators; numerical ergodic theory; numerics of dynamics; chemistry; chemotaxis, cross-diffusion, and blow-up; industrial applications; mechanics; models in biology, medicine, and physiology; molecular modelling; patterns; semiconductors; steady water waves; unsteady hydrodynamic waves; delay equations; numerics; ordinary differential equations; partial differential equations.
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