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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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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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2018
Impairments of balance and gait leading to loss of mobility, falls, and disability are common occurrences in many neurologic conditions and with older age. Much of our current understanding about posture and balance control and its impairments has come from investigations of how healthy individuals and those with neurologic disorders respond to ...
Mark W, Rogers, Marie-Laure, Mille
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Impairments of balance and gait leading to loss of mobility, falls, and disability are common occurrences in many neurologic conditions and with older age. Much of our current understanding about posture and balance control and its impairments has come from investigations of how healthy individuals and those with neurologic disorders respond to ...
Mark W, Rogers, Marie-Laure, Mille
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Fuzzy perturbation analysis, part I: Directional perturbation
Fuzzy Sets and Systems, 1985A new idea, fuzzy perturbation, is advanced. The stability of the solutions of a fuzzy relation equation and the generalized solution of the unsolvable equation are defined by means of this idea. Thereupon, a part of the theory of fuzzy perturbation analysis, fuzzy directional perturbation, is formed.
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Robust stability: perturbed systems with perturbed equilibria
Systems & Control Letters, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel, Anthony N., Wang, Kaining
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Perturbation Theory: Relatively Bounded Perturbations
1996We have so far discussed two aspects of perturbation theory: perturbations of self-adjoint operators which preserve self-adjointness, and perturbations of self-adjoint operators which preserve the essential spectrum. This latter subject is part of what we call spectral stability.
P. D. Hislop, I. M. Sigal
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Perturbation theory for odd perturbations
Journal of Physics A: General Physics, 1972The eigenvalues of perturbed Schrodinger equation with an odd perturbation are even functions of the perturbation parameter lambda . It is shown how to transform the perturbed equation so that the new perturbation is also explicitly an even function of lambda .
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Geometric space-time perturbation. I. Multiparameter perturbations
Journal of Mathematical Physics, 1987The standard definition of space-time perturbation is reexamined. It is seen that the noninvariance of the metric under identification gauge transformations is a consequence of the adopted zero signature in the fifth dimension of the space of space-times.
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