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The main goal of this book is to systematically address the
mathematical methods that are applied in the study of
synchronization of infinite-dimensional evolutionary dissipative or
partially dissipative systems. It bases its unique monograph
presentation on both general and abstract models and covers several
important classes of coupled nonlinear deterministic and stochastic
PDEs which generate infinite-dimensional dissipative systems. This
text, which adapts readily to advanced graduate coursework in
dissipative dynamics, requires some background knowledge in
evolutionary equations and introductory functional analysis as well
as a basic understanding of PDEs and the theory of random
processes. Suitable for researchers in synchronization theory, the
book is also relevant to physicists and engineers interested in
both the mathematical background and the methods for the asymptotic
analysis of coupled infinite-dimensional dissipative systems that
arise in continuum mechanics.
The main goal of this book is to systematically address the
mathematical methods that are applied in the study of
synchronization of infinite-dimensional evolutionary dissipative or
partially dissipative systems. It bases its unique monograph
presentation on both general and abstract models and covers several
important classes of coupled nonlinear deterministic and stochastic
PDEs which generate infinite-dimensional dissipative systems. This
text, which adapts readily to advanced graduate coursework in
dissipative dynamics, requires some background knowledge in
evolutionary equations and introductory functional analysis as well
as a basic understanding of PDEs and the theory of random
processes. Suitable for researchers in synchronization theory, the
book is also relevant to physicists and engineers interested in
both the mathematical background and the methods for the asymptotic
analysis of coupled infinite-dimensional dissipative systems that
arise in continuum mechanics.
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