Results 11 to 20 of about 160,056 (177)
Extracting kinetic information from short-time trajectories: relaxation and disorder of lossy cavity polaritons. [PDF]
NanophotonicsAbstract 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 ...
Wu A, Cerrillo J, Cao J.
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Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems [PDF]
Advanced Nonlinear Studies, 2013 Abstract We study the Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form xʹ = y, yʹ = -g(x) - f(x)y, where g(x) and f(x) are arbitrary polynomials such that 2 ≤ deg g ≤ deg f.
Jaume Llibre, Clàudia Valls
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Geometry and integrability of quadratic systems with invariant hyperbolas
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira +2 more
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Liouvillian and Analytic First Integrals for the Brusselator System [PDF]
Journal of Nonlinear Mathematical Physics, 2012 We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a − (b + 1)x + x2y, y' = bx − x2y, with a, b ∈ R, called the Brusselator differential systems.
Llibre, Jaume, Valls, Clàudia
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Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems [PDF]
Advanced Nonlinear Studies, 2015 Abstract We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form xʹ = y, yʹ = a(x)y2 +b(x)y+c(x), where a(x), b(x) and c(x) are polynomials.
Llibre, Jaume, Valls, Clàudia
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Liouvillian first integrals for quadratic systems with an integrable saddle [PDF]
Rocky Mountain Journal of Mathematics, 2015 Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD. We provide explicit expressions for the Liouvillian first integrals of the quadratic polynomial differential systems having an integrable saddle.
Yudy Bolaños +2 more
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Transition Characteristics of Non‐Hermitian Skin Effects in a Zigzag Lattice Without Chiral Symmetry
Advanced Physics Research, Volume 2, Issue 11, November 2023., 2023 Transitions of the non‐Hermitian skin effect in a Zigzag lattice with/without chiral symmetry are closely linked to the real parts of eigen‐energy spectra when the closed eigen‐energy spectra under periodic boundary condition have no interior. Such an approach provides a way in judging transitions of localized directions and has a potential in helping ...
Xiaoxiong Wu +4 more
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Modeling spin relaxation in complex radical systems using MolSpin
Journal of Computational Chemistry, Volume 44, Issue 19, Page 1704-1714, July 15, 2023., 2023 Bloch–Redfield–Wangsness theory is a powerful mathematical framework to describe environment‐induced spin relaxation. In particular, complex perturbations which have no explicit analytical form can be included with this theory. The generalized implementation into the toolkit MolSpin guarantees a versatile usage with which complex motions such as those ...
Luca Gerhards +4 more
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Branching High‐Order Exceptional Points in Non‐Hermitian Optical Systems
Laser &Photonics Reviews, Volume 16, Issue 9, September 2022., 2022 Exceptional points are complex‐valued spectral singularities that lead to a host of intriguing features such as loss‐induced transparency—a counterintuitive process in which an increase in the system's overall loss can lead to enhanced transmission.
Konrad Tschernig +3 more
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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.
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