Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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3 citations
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01 Dec 1976TL;DR: In this paper, an approach for approximating the uniform asymptotic stability boundary of non-autonomous systems by extending the above-mentioned approach is discussed, which is based on the Lie series method.
Abstract: The application of Lie series method for determination and approximation of asymptotic stability boundary of nonlinear autonomous systems has been reported 1,2,3. However, very little has been published with regard to computing the stability boundary of nonlinear nonautonomous systems. This paper is to discuss an approach for approximating the uniform asymptotic stability boundary of nonautonomous systems by extending the above-mentioned approach.
3 citations
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TL;DR: It is shown that the regular perturbation theory can formally be applied in a natural way up to terms of order e2 and the eigenvalue of the perturbed problem can be both more and less than the eigens of the limiting problem subject to the position and geometry of the slit.
Abstract: The Neumann problem in two-dimensional domain with a narrow slit is studied. The width of the slit is a small para- meter 0
3 citations