Nomenclature and typification of sectional names in Carex (Cyperaceae)
TAXON, Volume 74, Issue 6, Page 1543-1568, December 2025.Abstract This paper presents an updated survey of all the published names at the section rank in Carex and its formerly accepted satellite genera. We included related names at other ranks when relevant. We address validity, legitimacy, priority, typification, and – if relevant – synonymy.
Pedro Jiménez‐Mejías +6 more
wiley +1 more source
Higher-order Melnikov functions for degenerate cubic Hamiltonians
Advances in Differential Equations, 1996 The author considers quadratic perturbation problems of Hamiltonian systems in the plane with degenerate cubic Hamiltonians. He first uses the scheme of J. P. Francoise to compute explicitly the first four Melnikov functions \(M_1(h),\dots, M_4(h)\), then he proves the following five interesting theorems. Theorem 1.
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Horseshoes and Arnold Diffusion for Hamiltonian Systems on Lie Groups [PDF]
, 1983 not ...
Holmes, Philip J., Marsden, Jerrold E.
core
On the existence of chaotic circumferential waves in spinning disks
, 2007 We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load.
Arzhang Angoshtari +3 more
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Higher order Melnikov function for a quartic hamiltonian with cuspidal loop
Discrete & Continuous Dynamical Systems - A, 2002 The authors consider the polynomial perturbations \[ X_{\varepsilon}=X_H+ \varepsilon f(x,y,\varepsilon)\frac{\partial}{\partial x}+ \varepsilon g(x,y,\varepsilon)\frac{\partial}{\partial y}, \] where \(f(x,y,\varepsilon)\) and \(g(x,y,\varepsilon)\) are polynomials in \(x,y\) with coefficients depending analytically on the small parameter ...
Zhao, Yulin, Zhu, Siming
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On exact solutions in multidimensional gravity with antisymmetric forms
, 2003 This short review deals with a multidimensional gravitational model containing dilatonic scalar fields and antisymmetric forms. The manifold is chosen in the product form. The sigma-model approach and exact solutions are reviewed.Comment: 22 pages, Latex,
D.V. Gal’tsov +32 more
core +1 more source
Melnikov functions and heteroclinic orbits in delay differential equations
Journal of Mathematical Analysis and Applications, 1990 The author gives sufficient conditions for the existence of bounded solutions for the perturbed delay differential equation \(\dot z(t)=g(z_ t)+h(t,z_ t,\epsilon)\) where \(h(t,\phi,0)=0\), \(\epsilon >0\), \(z_ t(\theta)=z(t+\theta)\), \(\theta\in [-r;0]\) with \(r>0\).
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On generalized analogues of black brane solutions in the model with multicomponent anisotropic fluid
, 2011 A family of spherically symmetric solutions in the model with m-component anisotropic fluid is considered. The metrics are defined on a manifold which contains a product of n-1 Ricci-flat "internal" spaces. The equation of state for any s-th component is
Ivashchuk, V. D.
core
Interchangeability of class I and II fumarases in an obligate methanotroph Methylotuvimicrobium alcaliphilum 20Z. [PDF]
PLoS One, 2023 Melnikov OI +6 more
europepmc +1 more source
Animal Metabolite Database: Metabolite Concentrations in Animal Tissues and Convenient Comparison of Quantitative Metabolomic Data. [PDF]
Metabolites, 2023 Yanshole VV +14 more
europepmc +1 more source