Results 1 to 10 of about 849 (84)
From integrability to chaos in quantum Liouvillians
SciPost Physics Core, 2022 The dynamics of open quantum systems can be described by a Liouvillian, which in the Markovian approximation fulfills the Lindblad master equation. We present a family of integrable many-body Liouvillians based on Richardson-Gaudin models with a complex ...
Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky
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Liouvillian Integrability Versus Darboux Polynomials [PDF]
Qualitative Theory of Dynamical Systems, 2016 Agraïments: FEDER/UNAB10-4E-378. The second author is supported by Portuguese National Funds through FCT - Fundacâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD. The third author is partially supported by NNSF of China grant number 11271252, by RFDP of Higher Education of China grant number 20110073110054, and by ...
Llibre, Jaume +2 more
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Analytic (non)integrability of Arutyunov-Bassi-Lacroix model
Physics Letters B, 2021 We use the notion of the gauge/string duality and discuss the Liouvillian (non) integrability criteria for string sigma models in the context of recently proposed Arutyunov-Bassi-Lacroix (ABL) model in Arutyunov et al. (2021) [31].
Jitendra Pal +3 more
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Analysis of the multi-phenomenal nonlinear system : Testing Integrability and detecting chaos
Results in Physics, 2023 As a large extension in Hamiltonian form, the system of a PT symmetric dimer of coupled nonlinear oscillators is developed. This system provides an explanation for a number of problems with Hamiltonian dynamics. Integrability is evaluated in the Painlevé
Mohamed Benkhali +6 more
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Toward Effective Liouvillian Integration
Annales scientifiques de l'École Normale Supérieure, 2022 Enhancement of the previous version, with one extra theorem (Theorem C), 35 ...
Cousin, Gaël +2 more
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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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European Physical Journal C: Particles and Fields, 2023 In this manuscript we study Liouvillian non-integrability of strings in $$AdS_{6}\times S^{2}\times \Sigma $$ A d S 6 × S 2 × Σ background. We consider soliton strings and look for simple solutions in order to reduce the equations to only one linear ...
G. Alencar, M. O. Tahim
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Liouvillian integrability of a general Rayleigh-Duffing oscillator [PDF]
Journal of Nonlinear Mathematical Physics, 2021 We give a complete description of the Darboux and Liouville integrability of a general Rayleigh-Duffing oscillator through the characterization of its polynomial first integrals, Darboux polynomials and exponential factors. The authors are grateful to the referees for their valuable comments and suggestions to improve this paper.
Giné, Jaume, Valls, Claudia
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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Liouvillian integration and Bernoulli foliations [PDF]
Transactions of the American Mathematical Society, 1998 The authors study analytic foliations in the two-dimensional complex projective space \(CP(2)\), with algebraic invariant curves whose holonomy groups are solvable. To state the main results, let \(\mathcal B\) denote the set of foliations in \(CP(2)\) of some fixed degree \(\nu\geq 2\), such that 1) any \({\mathcal F}\in{\mathcal B}\) admits some ...
Cerveau, D., Sad, P.
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