EAN: 9783110586992

INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS VOLUME 2...

This two-volume work presents state-of-the-art mathematical theories and results on
infinite-dimensional dynamical systems. Inertial manifolds  approximate inertial manifolds 
discrete attractors and the dynamics of small dissipation are discussed in detail. The unique
combination of mathematical rigor and physical background makes this work an essential
reference for researchers and graduate students in applied mathematics and physics. The main
emphasis in the fi rst volume is on the existence and properties for attractors and inertial
manifolds. This volume highlights the use of modern analytical tools and methods such as the
geometric measure method  center manifold theory in infinite dimensions  the Melnihov method 
spectral analysis and so on for infinite-dimensional dynamical systems. The second volume
includes the properties of global attractors  the calculation of discrete attractors 
structures of small dissipative dynamical systems  and the existence and stability of solitary
waves. ContentsDiscrete attractor and approximate calculation Some properties of global
attractor Structures of small dissipative dynamical systems Existence and stability of solitary
waves

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