Results 271 to 280 of about 433,716 (317)
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A note on perturbation-adapted perturbation theory
The Journal of Chemical Physics, 2022The partitioning introduced recently by Knowles [J. Chem. Phys. 156, 011101 (2022)] is analyzed and its connections with the Adams partitioning and the Davidson–Kapuy partitioning are discussed. Davidson’s partitioning is reformulated using the second quantized formalism.
Péter R. Surján +2 more
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Perturbation Expansions on Perturbed Domains
SIAM Review, 1982Expansions in powers of a perturbation parameter are considered for partial differential equations to be solved on a domain that is also perturbed. Two kinds of expansions—Lagrange-like and Euler-like—are developed and shown to be equivalent to one another under a certain transformation of dependent variables.
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Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 2002
If a CNN template, through the application of one of the sign-changing transformations T defined by Chua and Wu (see Int. Journal of Circuit Theory and Applications, vol. 20, p.497-517, 1992), is positive and cell-linking and has isolated equilibria then the convergence of the original CNN follows; this is theorem 4 of the aforementioned paper.
Mark P. Joy, Vedat Tavsanoglu
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If a CNN template, through the application of one of the sign-changing transformations T defined by Chua and Wu (see Int. Journal of Circuit Theory and Applications, vol. 20, p.497-517, 1992), is positive and cell-linking and has isolated equilibria then the convergence of the original CNN follows; this is theorem 4 of the aforementioned paper.
Mark P. Joy, Vedat Tavsanoglu
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The Quarterly Journal of Mathematics, 1985
This paper (written in a remarkable clear style) answers to a reciprocal problem of the classical perturbation one. Given two semigroups \(S_ t\) (with the generator A) and \(T_ t\) with the restriction \(\| S_ t- T_ t\| /t\) bounded when \(t\to 0^+\), there exists a linear bounded operator B such that the semigroup generated by \(A+B\) is exactly \(T_
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This paper (written in a remarkable clear style) answers to a reciprocal problem of the classical perturbation one. Given two semigroups \(S_ t\) (with the generator A) and \(T_ t\) with the restriction \(\| S_ t- T_ t\| /t\) bounded when \(t\to 0^+\), there exists a linear bounded operator B such that the semigroup generated by \(A+B\) is exactly \(T_
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Perturbation determinants for singular perturbations
Russian Journal of Mathematical Physics, 2014Let A be a densely defined symmetric operator and let {Ae0 , Ae} be an ordered pair of proper extensions of A such that their resolvent difference is of trace class. We study the perturbation determinant ∆Ae0/Ae(·) of the singular pair {Ae0 , Ae} by using the boundary triplet approach.
Malamud, Mark M., Neidhardt, Hagen
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1999
Abstract This Chapter describes techniques for obtaining approximations to periodic time solutions of nearly linear second-order differential equations subject to a harmonic forcing term, and to limit cycles of autonomous equations.
D W Jordan, P Smith
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Abstract This Chapter describes techniques for obtaining approximations to periodic time solutions of nearly linear second-order differential equations subject to a harmonic forcing term, and to limit cycles of autonomous equations.
D W Jordan, P Smith
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2015 IEEE Symposium Series on Computational Intelligence, 2015
The proposed approach is based on the theory of multisets. In the paper we defined a novel measure of remoteness between multisets. There is introduced the definition of perturbation of one multiset by another multiset and/or vice-versa. In general these two measures are different, asymmetrical, so they should not be considered as the distance between ...
Maciej Krawczak, Grayna Szkatua
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The proposed approach is based on the theory of multisets. In the paper we defined a novel measure of remoteness between multisets. There is introduced the definition of perturbation of one multiset by another multiset and/or vice-versa. In general these two measures are different, asymmetrical, so they should not be considered as the distance between ...
Maciej Krawczak, Grayna Szkatua
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Physical Review, 1941
Quantitative formulae for the intensities of lines from a pair of interacting states to a common lower state are applied to perturbations in band spectra. It appears that rotational and vibrational perturbations show quite a different behavior. In the former there is a direct superposition of intensities of the two interacting states whereas in the ...
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Quantitative formulae for the intensities of lines from a pair of interacting states to a common lower state are applied to perturbations in band spectra. It appears that rotational and vibrational perturbations show quite a different behavior. In the former there is a direct superposition of intensities of the two interacting states whereas in the ...
openaire +2 more sources