Results 31 to 40 of about 33,546 (278)
Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System
Abstract and Applied Analysis, 2012 This paper deals with the problems of integrability and linearizable conditions at degenerate singular point in a class of quasianalytic septic polynomial differential system.
Feng Li, Yusen Wu
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Long-time behavior of stochastic reaction–diffusion equation with multiplicative noise
Advances in Difference Equations, 2020 In this paper, we study the dynamical behavior of the solution for the stochastic reaction–diffusion equation with the nonlinearity satisfying the polynomial growth of arbitrary order p ≥ 2 $p\geq2$ and any space dimension N.
Jing Wang, Qiaozhen Ma, Tingting Liu
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A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials
Bulletin of Computational Applied Mathematics, 2021 This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=0 ...
Primitivo B. Acosta-Humánez +2 more
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From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition
, 2000 The Bertrand-Darboux integrability condition for a certain class of perturbed harmonic oscillators is studied from the viewpoint of the Birkhoff-Gustavson(BG)-normalization: By solving an inverse problem of the BG-normalization on computer algebra, it is
Arnold V I +17 more
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Integrability and level crossing manifolds in a quantum Hamiltonian system [PDF]
, 1998 We consider a two-spin model, represented classically by a nonlinear autonomous Hamiltonian system with two degrees of freedom and a nontrivial integrability condition, and quantum mechanically by a real symmetric Hamiltonian matrix with blocks of ...
E. Magyari +12 more
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Analytic reducibility of nondegenerate centers: Cherkas systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible.
Jaume Giné, Jaume Llibre
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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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, 2010 Based on the gradient-holonomic algorithm we analyze the integrability property of the generalized hydrodynamical Riemann type equation $%D_{t}^{N}u=0$ for arbitrary $N\in \mathbb{Z}_{+}.$ The infinite hierarchies of polynomial and non-polynomial ...
Popowicz, Ziemowit +1 more
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Open problems, questions, and challenges in finite-dimensional integrable systems [PDF]
, 2018 The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference “Finite-dimensional Integrable ...
Bolsinov, Alexey +3 more
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On some orthogonal polynomial integrals [PDF]
Mathematics of Computation, 1980 The modified moments of the weight functions w ( x ) = x ρ ( 1 − x ) a ln ( 1 / x ) w(x) = {x^\rho }{(1 - x ...
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