Results 11 to 20 of about 116 (92)

First integrals and phase portraits of planar polynomial differential cubic systems with invariant straight lines of total multiplicity eight

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In the article [C. Bujac, J. Llibre, N. Vulpe, Qual. Theory Dyn. Syst. 15(2016), 327–348] for the family of cubic differential systems with the maximum number of invariant straight lines, i.e.
Cristina Bujac, Nicolae Vulpe
doaj   +1 more source

Generalized α-Attractor Models from Elementary Hyperbolic Surfaces

Advances in Mathematical Physics, 2018
We consider generalized α-attractor models whose scalar potentials are globally well-behaved and whose scalar manifolds are elementary hyperbolic surfaces.
Elena Mirela Babalic, Calin Iuliu Lazaroiu   +1 more
doaj   +1 more source

Large amplitude oscillations for a class of symmetric polynomial differential systems in R³

Anais da Academia Brasileira de Ciências, 2007
In this paper we study a class of symmetric polynomial differential systems in R³, which has a set of parallel invariant straight lines, forming degenerate heteroclinic cycles, which have their two singular endpoints at infinity.
Jaume Llibre, Marcelo Messias
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Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés, Jaume Llibre, Dana Schlomiuk, Nicolae Vulpe   +3 more
doaj   +1 more source

Global phase portraits of quintic reversible uniform isochronous centers

Electronic Journal of Qualitative Theory of Differential Equations
This paper studies the global phase portraits of uniform isochronous quintic centers at the origin with time reversibility such that their nonlinear part is not homogeneous.
Lina Guo, Aiyong Chen
doaj   +1 more source

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double complex
Joan Artés, Jaume Llibre, Alex Rezende, Dana Schlomiuk, Nicolae Vulpe   +4 more
doaj   +1 more source

Ancient solutions of the homogenous Ricci flow on flag manifolds

Extracta Mathematicae, 2021
For any flag manifold M=G/K of a compact simple Lie group G we describe non-collapsing ancient invariant solutions of the homogeneous unnormalized Ricci flow.
S. Anastassiou, I. Chrysikos
doaj  

Generalized two-field α-attractor models from the hyperbolic triply-punctured sphere

Nuclear Physics B, 2018
We study generalized two-field α-attractor models whose rescaled scalar manifold is the triply-punctured sphere endowed with its complete hyperbolic metric, whose underlying complex manifold is the modular curve Y(2). Using an explicit embedding into the
Elena Mirela Babalic, Calin Iuliu Lazaroiu   +1 more
doaj   +1 more source

Maximal multiplicity of the line at infinity in a sextic polynomial differential system

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
We investigate planar polynomial differential systems of degree six having an invariant straight line at infinity with high algebraic multiplicity in the sense of the Poincaré compactification.
Vadim Repeșco
doaj   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source