Results 41 to 50 of about 4,250,304 (141)
Large‐scale magnetic resonance simulations: A tutorial
Magnetic Resonance in Chemistry, Volume 58, Issue 8, Page 691-717, August 2020., 2020 Abstract Computational modeling is becoming an essential tool in magnetic resonance to design and optimize experiments, test the performance of theoretical models, and interpret experimental data. Recent theoretical research and software development made possible simulations of large spin systems, for example, proteins with thousands of spins, in ...
Maria Grazia Concilio
wiley +1 more source
The role of algebraic solutions in planar polynomial differential systems [PDF]
, 2005 We study a planar polynomial differential system, given by \dot{x}=P(x,y), \dot{y}=Q(x,y). We consider a function I(x,y)=\exp \{h_2(x) A_1(x,y) \diagup A_0(x,y) \} h_1(x) \prod_{i=1}^{\ell} (y-g_i(x))^{\alpha_i}, where g_i(x) are algebraic functions, A_1(
Giacomini, Héctor +2 more
core +5 more sources
Integrability and dynamics of a simplified class B laser system.
Chaos, 2023 A simplified class B laser system is a family of differential polynomial systems of degree two depending on the parameters a and b. Its rich dynamics has already been observed in 1980s, see Arecchi et al. [Opt. Commun.
J. Llibre, C. Pantazi
semanticscholar +1 more source
On (non)integrability of classical strings in p-brane backgrounds
, 2013 We investigate the question of possible integrability of classical string motion in curved p-brane backgrounds. For example, the D3-brane metric interpolates between the flat and the AdS_5 x S^5 regions in which string propagation is integrable.
Stepanchuk, A., Tseytlin, A. A.
core +1 more source
Non-integrability of density perturbations in the FRW universe
, 2006 We investigate the evolution equation of linear density perturbations in the Friedmann-Robertson-Walker universe with matter, radiation and the cosmological constant.
Andrzej J. Maciejewski +6 more
core +1 more source
On Marginal Deformations and Non-Integrability [PDF]
, 2013 We study the interplay between a particular marginal deformation of ${\cal N}=4$ super Yang-Mills theory, the $\beta$ deformation, and integrability in the holographic setting. Using modern methods of analytic non-integrability of Hamiltonian systems, we
Giataganas, Dimitrios +2 more
core +3 more sources
Probing analytical and numerical integrability: The curious case of $(AdS_5\times S^5)_{\eta}$
, 2018 Motivated by recent studies related to integrability of string motion in various backgrounds via analytical and numerical procedures, we discuss these procedures for a well known integrable string background $(AdS_5\times S^5)_{\eta}$.
Banerjee, Aritra, Bhattacharyya, Arpan
core +1 more source
Non-integrability and Chaos with Unquenched Flavor [PDF]
, 2017 We study (non-)integrability and the presence of chaos in gravity dual backgrounds of strongly coupled gauge theories with unquenched flavor, specifically of the four-dimensional N=2 super Yang-Mills theory and the three-dimensional ABJM theory.
Giataganas, Dimitrios +1 more
core +4 more sources
Liouvillian first integrals for Liénard polynomial differential systems [PDF]
Proceedings of the American Mathematical Society, 2010 Summary: We characterize the Liouvillian first integrals for the Liénard polynomial differential systems of the form \(x^{\prime } = y, y^{\prime } = -cx-f(x)y\), with \(c \in \mathbb{R}\) and \(f(x)\) is an arbitrary polynomial. For obtaining this result we need to find all the Darboux polynomials and the exponential factors of these systems.
Llibre, J., Valls, C.
openaire +1 more source
Weierstrass integrability of differential equations [PDF]
, 2007 The integrability problem consists in finding the class of functions a first integral of a given system must belong to. We recall the characterization to admit an elementary or Liouvillian first integral.
Giné Mesa, Jaume, Grau Montaña, Maite
core