In a thermoacoustic system, such as a flame in a combustor, heat release oscillations couple
with acoustic pressure oscillations. If the heat release is sufficiently in phase with the …

The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information) such as transport and propagation …

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Following an introductory section with important definitions and concepts, Section 2
concerns algebraic results for undamped time-invariant linear systems. In Section 3 we …

This updated revision gives a complete and topical overview on Nonconservative Stability
which is essential for many areas of science and technology ranging from particles trapping …

Let A(ε) be an analytic square matrix and 0 an eigenvalue of A(0) of algebraic multiplicity
m\geq1. Then under the condition ∂∂ε\det(λIA(ε))|_(ε,λ)=(0,0)\neq0, we prove that the …

We consider the synchronization problem of an arbitrary number of coupled nonlinear
oscillators with delays in the interconnections. The network topology is described by a …

It generalizes the linear eigenvalue problem Ax= λx, A∈ Cn× n, where T (λ)= λI− A, and the
generalized linear eigenvalue problem where T (λ)= λB− A, A, B∈ Cn× n. Nonlinear …

We contribute to the perturbation theory of nonlinear eigenvalue problems in three ways.
First, we extend the formula for the sensitivity of a simple eigenvalue with respect to a …

This paper provides several contributions to the mathematical analysis of subwavelength
resonances in a high‐contrast medium containing NN acoustic obstacles. Our approach is …