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Attractors and Methods (Hardcover)
Loot Price: R4,446
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Attractors and Methods (Hardcover)
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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. Contents Discrete
attractor and approximate calculation Some properties of global
attractor Structures of small dissipative dynamical systems
Existence and stability of solitary waves
General
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