Results 61 to 70 of about 4,250,304 (141)
Global integrability of cosmological scalar fields
, 2008 We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois group approach, as introduced by Morales-Ruiz and Ramis.
Maciejewski, Andrzej J. +3 more
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Computation of Time‐Resolved Nonlinear Electronic Spectra From Classical Trajectories
WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.Stimulated emission contribution to the two‐dimensional electronic spectrum of pyrazine at a waiting time of 60 fs as a function of the excitation and emission frequencies. ABSTRACT A variety of time‐resolved spectroscopic techniques employing femtosecond pump and probe pulses are nowadays widely used to unravel the fundamental mechanisms of ...
Maxim F. Gelin +3 more
wiley +1 more source
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials
, 2012 In the framework of differential Galois theory we treat the classical spectral problem $\Psi"-u(x)\Psi=\lambda\Psi$ and its finite-gap potentials as exactly solvable in quadratures by Picard--Vessiot without involving special functions; the ideology goes
Brezhnev, Yurii V.
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Nanophotonics, Volume 14, Issue 1, Page 81-94, January 2025.Abstract Non‐Hermitian (NH) photonic systems leverage gain and loss to open new directions for nanophotonic technologies. However, the quantum and thermal noise intrinsically associated with gain/loss affects the eigenvalue/eigenvector structure of NH systems, and thus the existence of exceptional points, as well as the practical noise performance of ...
Osmery Hernández, Iñigo Liberal
wiley +1 more source
Nonautonomous Hamiltonian Systems and Morales-Ramis Theory I. The Case $\ddot{x}=f(x,t)$
, 2012 In this paper we present an approach towards the comprehensive analysis of the non-integrability of differential equations in the form $\ddot x=f(x,t)$ which is analogous to Hamiltonian systems with 1+1/2 degree of freedom.
Morales-Ruiz J. J. +3 more
core +1 more source
Advanced Science, Volume 11, Issue 24, June 26, 2024.A unified kinetic model of aggregation of the huntingtin exon‐1 protein, based on NMR data, is presented which directly links microsecond pre‐nucleation tetramerization with aggregation/fibril formation on the minutes/hours timescale via slow unimolecular conversion of excited states in the pool of sparsely‐populated tetramers into elongation‐competent
Francesco Torricella +2 more
wiley +1 more source
Nanophotonics, Volume 13, Issue 14, Page 2575-2590, June 2024.Abstract The emerging field of molecular cavity polaritons has stimulated a surge of experimental and theoretical activities and presents a unique opportunity to develop the many‐body simulation methodology. This paper presents a numerical scheme for the extraction of key kinetic information of lossy cavity polaritons based on the transfer tensor ...
Andrew Wu, Javier Cerrillo, Jianshu Cao
wiley +1 more source
Liouvillian first integrals of quadratic–linear polynomial differential systems
Journal of Mathematical Analysis and Applications, 2011 Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon. For a large class of quadratic-linear polynomial differential systems with a unique singular point at the origin having non-zero eigenvalues, we classify the ones which have a Liouvillian first integral, and we provide the explicit expression of them.
Llibre, Jaume, Valls, Clàudia
openaire +2 more sources
A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator
, 2017 In [1,2] we have developed a method (we call it the S-function method) that is successful in treating certain classes of rational second order ordinary differential equations (rational 2ODEs) that are particularly `resistant' to canonical Lie methods and
da Mota, L. A. C. P., Duarte, L. G. S.
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Global Dynamics and Integrability of a Leslie-Gower Predator–Prey Model with Linear Functional Response and Generalist Predator [PDF]
Qualitative Theory of Dynamical SystemsWe deal with a Leslie-Gower predator–prey model with a generalist or alternating food for predator and linear functional response. Using a topological equivalent polynomial system we prove that the system is not Liouvillian (hence also not Darboux ...
Martha Alvarez-Ram'irez +2 more
semanticscholar +1 more source