The effect of arbitrarily small rigidity on the free oscillations of the Earth
Annals of Geophysics, 1997 The system of propagator equations for an elastic solid becomes singular as the shear modulus becomes vanishingly small. In computational applications there is severe loss of precision as the limit of zero shear modulus is approached.
F. Gilbert
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Dynamic model reduction: An overview of available techniques with application to power systems [PDF]
Serbian Journal of Electrical Engineering, 2012 This paper summarises the model reduction techniques used for the reduction of large-scale linear and nonlinear dynamic models, described by the differential and algebraic equations that are commonly used in control theory. The groups of methods
Đukić Savo D., Sarić Andrija T.
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Asymptotics of conduction velocity restitution in models of electrical excitation in the heart [PDF]
, 2011 We extend a non-Tikhonov asymptotic embedding, proposed earlier, for calculation of conduction velocity restitution curves in ionic models of cardiac excitability.
Simitev, R.D., Biktashev, V.N.
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Nonlinear dynamics, 2019 When we apply the steady-state approximation (SSA) in chemi cal k netics, we typically argue that some of the intermediates are highly reactive, so that they a r removed as fast as they are made.
M. Roussel
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Existence of Solitary Waves in a Perturbed KdV-mKdV Equation
Journal of Mathematics, 2021 In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function.
Chengqun Li, Minzhi Wei, Yuanhua Lin
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Principal component analysis and perturbation theory–based robust damage detection of multifunctional aircraft structure [PDF]
, 2013 A fundamental problem in structural damage detection is to define an efficient feature to calculate a damage index. Furthermore, due to perturbations from various sources, we also need to define a rigorous threshold whose overtaking indicates the ...
HAJRYA, Rafik, MECHBAL, Nazih
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Finite-Time Control of Markov Jump Lur'e Systems With Singular Perturbations
IEEE Transactions on Automatic Control, 2023 This article investigates the asynchronous controller design issue for Markov jump Lur'e systems with singular perturbations within a fixed time interval.
Jun Cheng, Ju H. Park, Zhengpeng Wu
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Singular p-Laplacian equations with superlinear perturbation
Journal of Differential Equations, 2019 We consider a nonlinear Dirichlet problem driven by the p-Laplace operator and with a right-hand side which has a singular term and a parametric superlinear perturbation.
N. Papageorgiou, Patrick Winkert
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Beyond Adiabatic Elimination: Effective Hamiltonians and Singular Perturbation [PDF]
, 2015 Adiabatic elimination is a standard tool in quantum optics, that produces an effective Hamiltonian for a relevant subspace of states, incorporating effects of its coupling to states with much higher unperturbed energy.
M. Sanz, E. Solano, '. L. Egusquiza
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Highlighting Link Prediction in Bipartite Networks via Structural Perturbation
IEEE Access, 2018 Most of the link prediction algorithms for bipartite networks assume that the generation of link is based on a predefined prior assumption. However, for the real-world bipartite networks, the generation mechanism of link is still ambiguous due to their ...
Xue Chen +4 more
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