Results 61 to 70 of about 1,034,900 (267)
Singular Perturbation of Nonlinear Systems with Regular Singularity [PDF]
Discrete Dynamics in Nature and Society, 2018 We extend Balser-Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′=Fε,z,f with F a Cν-valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti +1 more
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Van der Pol Equation with a Large Feedback Delay
Mathematics, 2023 The well-known Van der Pol equation with delayed feedback is considered. It is assumed that the delay factor is large enough. In the study of the dynamics, the critical cases in the problem of the stability of the zero equilibrium state are identified ...
Sergey Kashchenko
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Singular perturbations in foliations
Inventiones Mathematicae, 1989 Let M be a smooth manifold. A constraint system of class \(C^ r\) on M is a pair \(\{\) \(\{\) \(\tilde Z_{\epsilon}\},{\mathcal F}\}\) of \(C^ r\) family of vector fields on M, \(\{\) \(\bar Z_{\epsilon}\}\), \(0\leq \epsilon
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Singular limit of an activator-inhibitor type model
Networks and Heterogeneous Media, 2012 We consider a reaction-diffusion system of activator-inhibitor type arising in the theory of phase transition. Itappears in biological contexts such as pattern formation in population genetics.
Marie Henry
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Singular perturbations and Lindblad-Kossakowski differential equations
, 2008 We consider an ensemble of quantum systems whose average evolution is described by a density matrix, solution of a Lindblad-Kossakowski differential equation.
Mirrahimi, Mazyar, Rouchon, Pierre
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Singular perturbations to semilinear stochastic heat equations [PDF]
Probability theory and related fields, 2010 We consider a class of singular perturbations to the stochastic heat equation or semilinear variations thereof. The interesting feature of these perturbations is that, as the small parameter ε tends to zero, their solutions converge to the ‘wrong’ limit,
Martin Hairer
semanticscholar +1 more source
Combined effects of homogenization and singular perturbations: A bloch wave approach
Networks and Heterogeneous Media, 2021 In this work, we study Bloch wave homogenization of periodically heterogeneous media with fourth order singular perturbations. We recover different homogenization regimes depending on the relative strength of the singular perturbation and length scale of
Vivek Tewary
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Regular and singular perturbations of upper semicontinuous differential inclusion
International Journal of Mathematics and Mathematical Sciences, 1997 In the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case.
Tzanko Donchev, Vasil Angelov
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On fractional powers of singular perturbations of the Laplacian
, 2017 We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin.
Georgiev, Vladimir +2 more
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Motion Control of a Quadrotor Aircraft via Singular Perturbations
International Journal of Advanced Robotic Systems, 2013 In this paper, a new motion controller for a quadrotor aircraft is introduced. A reformulation of the control inputs of the dynamic model is discussed and then the control algorithm is given in a constructive form.
Salvador González-Vázquez +1 more
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