Results 211 to 220 of about 9,112 (264)

Riccati-based analytical framework for solving the potential Korteweg-de Vries equation. [PDF]

Sci Rep
Jawarneh Y, Mukhtar S, Islam S, Amadou Y.   +3 more
europepmc   +1 more source

Adversarial Defense without <i>Adversarial Defense</i>: Enhancing Language Model Robustness via Instance-level Principal Component Removal. [PDF]

Trans Assoc Comput Linguist
Wang Y, Xiao C, Li Y, Middleton SE, Moubayed NA, Lin C.   +5 more
europepmc   +1 more source

Non-Hermitian Dynamics in Three-Level Systems: A Perturbative Approach for Time-Dependent Hamiltonians. [PDF]

Entropy (Basel)
La G, Li Y, Zheng G.
europepmc   +1 more source

Lyapunov exponents explain disorder-induced polarization and soliton jumping in a mechanical Markov system. [PDF]

Nat Commun
Stephenson W, Cheng N, Sun K, Mao X.
europepmc   +1 more source

Novel 4D Tensor Decomposition-Based Approach Integrating Tri-Omics Profiling Data Can Identify Functionally Relevant Gene Clusters. [PDF]

Biology (Basel)
Turki T, Taguchi YH.
europepmc   +1 more source

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SINGULAR PERTURBATION AND INTERPOLATION

Mathematical Models and Methods in Applied Sciences, 1994
It is well known that the rate of convergence of the solution uε of a singular perturbed problem to the solution u of the unperturbed equation can be measured in terms of the “smoothness” of u; smoothness which, in turn, can be expressed in terms of linear interpolation theory.
BAIOCCHI C., SAVARE', GIUSEPPE
openaire   +2 more sources

Singular Perturbations of Bifurcations

SIAM Journal on Applied Mathematics, 1977
An asymptotic theory is presented to analyze perturbations of bifurcations of the solutions of nonlinear problems. The perturbations may result from imperfections, impurities, or other inhomogeneities in the corresponding physical problem. It is shown that for a wide class of problems the perturbations are singular.
Matkowsky, Bernard J., Reiss, Edward L.
openaire   +1 more source

SINGULAR PERTURBATIONS OF QUADRATIC MAPS

International Journal of Bifurcation and Chaos, 2004
We give a complete description of the dynamics of the mapping fε(z)=z2+(ε/z) for positive real values of ε. We then consider two generalizations: the case of complex ε and the mapping z→zn+(ε/zm), where ε is positive and real. In both cases we provide a full characterization of the map for a certain set of parameters, and give observations based on ...
Robert L. Devaney, Kresimir Josic, Yakov Shapiro   +2 more
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Singular Perturbation and the Energy of Folds

Journal of Nonlinear Science, 2000
The paper deals with the asymptotic behaviour as \(\varepsilon\downarrow 0\) of the energy functionals \[ E_\varepsilon(u):= \int_\Omega \varepsilon|\nabla\nabla u|^2+ {(1-|\nabla u|^2)^2\over\varepsilon} dx \tag{1} \] and contains a relevant progress towards the conjecture that the limiting energy is given by \[ {1\over 3}\int_D |[\nabla u]|^3 d ...
Weimin Jin, Robert V. Kohn
openaire   +3 more sources