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Authors
Advisor(s)
Abstract(s)
A natural problem associated with coupling of non-autonomous oscillators and synchronization is described. It leads to a question about the boundedness of a domain associated with a derived quadratic form. Properties of real symmetric matrices with bounded domains are developed, and unboundedness is translated into satisfiability of a certain Lyapunov-like matrix form. Eventually the real symmetric matrices associated with unbounded domains are explicitly characterized in terms of inertia explicit matrices. A consequence of the characterization is that large, irreducible matrices are likely to have bounded domains.
Description
Keywords
Inertia explicit Lyapunov equation Coupled oscillators Synchronization
Pedagogical Context
Citation
JOHNSON, Charles; MORAIS, Gonçalo – Bounded domains of negative multipliers. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. Vol. 479, N.º 1 (2019), pp. 926-940
Publisher
Elsevier