Results 1 to 10 of about 172 (142)
Liouville Integrability in a Four-Dimensional Model of the Visual Cortex [PDF]
Journal of Imaging, 2021 We consider a natural extension of the Petitot–Citti–Sarti model of the primary visual cortex. In the extended model, the curvature of contours is taken into account.
Ivan Galyaev, Alexey Mashtakov
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Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
Mathematics, 2023 Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation.
Shou-Ting Chen, Wen-Xiu Ma
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Liouville Correspondences between Integrable Hierarchies [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada-Kotera equations, and the isospectral problems of the Degasperis ...
Kang, J., Liu, X., Olver, P.J., Qu, C.
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Liouville correspondences between multicomponent integrable hierarchies [PDF]
Theoretical and Mathematical Physics, 2020 In this paper, we establish Liouville correspondences for the integrable two-component Camassa-Holm hierarchy, the two-component Novikov (Geng-Xue) hierarchy, and the two-component dual dispersive water wave hierarchy by means of the related Liouville transformations. This extends previous results on the scalar Camassa-Holm and KdV hierarchies, and the
Kang, Jing +3 more
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Bifurcations of Liouville tori of coupled sextic anharmonic oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2023 In the current paper, the problem of sextic anharmonic oscillators is investigated. There are three integrable cases of this problem. Emphasis is placed on two integrable cases, and a full description of each one is provided.
Fawzy M El-Sabaa +3 more
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Explicit solutions of rational integrable differential-difference equations
Partial Differential Equations in Applied Mathematics, 2022 The rational integrable differential-difference equations are proposed from a different discrete spectral problem. We proved the Liouville integrability of rational integrable differential-difference equations by deriving its bi-Hamiltonian structures ...
Qiulan Zhao, Muhammad Arham Amin
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Strongly formal Weierstrass non-integrability for polynomial differential systems in $\mathbb{C}^2$
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Recently it has been given a criterion for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in $\mathbb{C}^2$.
Jaume Giné, Jaume Llibre
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Liouville integrability of classical Calogero–Moser models [PDF]
Physics Letters A, 2001 8 pages, LaTeX2e, no ...
Khastgir, S. P., Sasaki, R.
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ON THE LIOUVILLE INTERGRABILITY OF LOTKA-VOLTERRA SYSTEMS
Frontiers in Physics, 2014 This paper is a review on some recent works on the Liouville integrability of a large class of Lotka-Volterra ...
Pantelis eDamianou, Fani ePetalidou
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From quantum groups to Liouville and dilaton quantum gravity
Journal of High Energy Physics, 2022 We investigate the underlying quantum group symmetry of 2d Liouville and dilaton gravity models, both consolidating known results and extending them to the cases with N $$ \mathcal{N} $$ = 1 supersymmetry.
Yale Fan, Thomas G. Mertens
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