Results 41 to 50 of about 4,616 (166)

2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles

European Physical Journal C: Particles and Fields, 2022
We compare the construction of 2D integrable models through two gauge field theories. The first one is the 4D Chern–Simons (4D-CS) theory proposed by Costello and Yamazaki.
A. Levin, M. Olshanetsky, A. Zotov
doaj   +1 more source

Dynamics of chains of a large number of fully coupled oscillators, as well as oscillators with one-way and two-way delay couplings

Partial Differential Equations in Applied Mathematics
This articles considers chains consisting of identical nonlinear equations of second order with couplings in linear elements. It is assumed that there is a large delay in the coupling elements.
S.A. Kashchenko
doaj   +1 more source

Integrity management systems

Recent years have seen various attempts at conceptualising integrity management within organisations. This chapter focuses on those integrity management models that take a systems approach. This emphasises interconnectedness and requisite variety, as well as the processual and iterative nature of integrity management and the importance of grassroots ...
Maesschalck, Jeroen, Hoekstra, Alain, van Montfort, André   +2 more
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Generalized completely integrable systems [PDF]

Theoretical and Applied Mechanics
Dynamical systems more general than Hamiltonian systems are considered. The role of the Hamiltonian function is played by a 1-form (not necessarily closed) on a symplectic phase space.
Kozlov Velery V.
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The integral system.

Central European journal of urology, 2011
The Integral System is a total care management system based on the Integral Theory which states 'prolapse and symptoms of urinary stress, urge, abnormal bowel & bladder emptying, and some forms of pelvic pain, mainly arise, for different reasons, from laxity in the vagina or its supporting ligaments, a result of altered connective tissue'.The organs ...
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Dynamics of Non-Periodic Chains with One-Sided and Two-Sided Couplings

Mathematics
This paper considers the question of local dynamics of the simplest non-periodic chains of nonlinear first-order equations with two-sided couplings. The main attention is paid to the study of chains with a large number N of elements.
Sergey Kashchenko
doaj   +1 more source

A Few Integrable Couplings of Some Integrable Systems and (2+1)-Dimensional Integrable Hierarchies

Abstract and Applied Analysis, 2014
Two high-dimensional Lie algebras are presented for which four (1+1)-dimensional expanding integrable couplings of the D-AKNS hierarchy are obtained by using the Tu scheme; one of them is a united integrable coupling model of the D-AKNS hierarchy and the
Binlu Feng, Yufeng Zhang, Huanhe Dong
doaj   +1 more source

Chains with Connections of Diffusion and Advective Types

Mathematics
The local dynamics of a system of oscillators with a large number of elements and with diffusive- and advective-type couplings containing a large delay are studied.
Sergey Kashchenko
doaj   +1 more source

KdV6: An integrable system

Physics Letters A, 2008
$K^2 S^2 T [5]$ recently derived a new 6$^{th}$-order wave equation $KdV6$: $(\partial^2_x + 8u_x \partial_x + 4u_{xx})(u_t + u_{xxx} + 6u_x^2) = 0$, found a linear problem and an auto-B${\ddot{\rm{a}}}$ckclund transformation for it, and conjectured its integrability in the usual sense.
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Hydrodynamic nonlinear response of interacting integrable systems. [PDF]

Proc Natl Acad Sci U S A, 2021
Fava M, Biswas S, Gopalakrishnan S, Vasseur R, Parameswaran SA.   +4 more
europepmc   +1 more source