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Symmetry in Complex Network Systems - Connecting Equivariant Bifurcation Theory with Engineering Applications (Hardcover, 1st ed. 2018)
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Symmetry in Complex Network Systems - Connecting Equivariant Bifurcation Theory with Engineering Applications (Hardcover, 1st ed. 2018)
Series: Understanding Complex Systems
Expected to ship within 12 - 17 working days
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This book bridges the current gap between the theory of
symmetry-based dynamics and its application to model and analyze
complex systems. As an alternative approach, the authors use the
symmetry of the system directly to formulate the appropriate
models, and also to analyze the dynamics. Complex systems with
symmetry arise in a wide variety of fields, including communication
networks, molecular dynamics, manufacturing businesses, ecosystems,
underwater vehicle dynamics, celestial and spacecraft dynamics and
continuum mechanics. A general approach for their analysis has been
to derive a detailed model of their individual parts, connect the
parts and note that the system contains some sort of symmetry, then
attempt to exploit this symmetry in order to simplify numerical
computations. This approach can result in highly complicated models
that are difficult to analyze even numerically. The alternative
approach, while nonstandard, is not entirely new among the
mathematics community. However, there is much less familiarity with
the techniques of symmetry-breaking bifurcation, as they apply to
the engineering, design and fabrication, of complex systems, in
particular, nonlinear sensor devices with special emphasis on the
conceptualization and development of new technologies of magnetic
sensors such as fluxgate magnetometers and SQUID (Superconducting
Quantum Interference Devices), E-- (electric-field) sensors, and
communication and navigation systems that require multiple
frequencies of operation, such as radar and antenna devices as well
as gyroscopic systems.
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