Results 11 to 20 of about 4,250,304 (141)
Liouvillian integrability of gravitating static isothermal fluid spheres [PDF]
Journal of Mathematical Physics, 2014 We examine the integrability properties of the Einstein field equations for static, spherically symmetric fluid spheres, complemented with an isothermal equation of state, ρ = np. In this case, Einstein's equations can be reduced to a nonlinear, autonomous second order ordinary differential equation (ODE) for m/R (m is the mass inside the radius R ...
Iacono, Roberto, Llibre, Jaume
semanticscholar +6 more sources
A note on Liouvillian integrability
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giné, Jaume, Llibre, Jaume
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Liouvillian integrability of the FitzHugh–Nagumo systems
Journal of Geometry and Physics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Llibre, Jaume, Valls, Clàudia
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Liouvillian Integrability of a Modified Michaelis-Menten Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2021 In this work we consider the modified Michaelis-Menten equation in biochemistry It models the enzyme kinetics. We contribute to the understanding of its global dynamics, or more precisely, to the topological structure of its orbits by studying the integrability problem. We prove that a = 0, or r = 0, or E = 0 are the unique values of the parameters for
C. Valls
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Non-integrability on AdS3 supergravity backgrounds [PDF]
Journal of High Energy Physics, 2020 We investigate classical integrability on two recently discovered classes of back- grounds in massive IIA supergravity. These vacua are of the form AdS3 × S2 × ℝ × CY2, they preserve small N $$ \mathcal{N} $$ = (0, 4) supersymmetry and are associated ...
Kostas Filippas
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Liouvillian integrability of polynomial differential systems [PDF]
Transactions of the American Mathematical Society, 2014 M.F. Singer (Liouvillian first integrals of differential equations, Trans. Amer. Math. Soc. 333 (1992), 673–688) proved the equivalence between Liouvillian integrability and Darboux integrability for two dimensional polynomial differential systems. In this paper we will extend Singer’s result to any finite dimensional polynomial differential systems ...
Xiang Zhang
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Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model [PDF]
Physical Review ResearchStrongly interacting nonequilibrium systems are of great fundamental interest, yet their inherent complexity make them notoriously hard to analyze. We demonstrate that the dynamics of the Bose-Hubbard model, which by itself evades solvability, can be ...
Christopher Ekman, Emil J. Bergholtz
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On Liouvillian integrability of the first–order polynomial ordinary differential equations
Journal of Mathematical Analysis and Applications, 2012 The authors prove the following result: Theorem. If a complex differential equation of the form \[ {dy\over dx}= a_0(x)+ a_1(x) y+\cdots+ a_n(x) y^n, \] where \(a_i(x)\), \(i= 0,\dots, n\), are polynomials in \(x\), \(a_n(x)\neq 0\), \(n\geq 2\), has a Liouvillian first integral, then it has a finite invariant algebraic curve.
Giné, Jaume, Llibre, Jaume
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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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