Results 91 to 100 of about 121,182 (204)
On the integral simplicial volume of cyclic covers of mapping tori
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
Abelian integrals and limit cycles
This paper deals with perturbations of the Hamiltonian system \[ X_{(\overline{\lambda},\varepsilon)}: \left\{ \begin{matrix} \dot{x}=- \frac{\partial H}{\partial y}+\varepsilon f, \vspace{0.2cm} \\ \displaystyle \dot{y}= \frac{\partial H}{\partial x}+\varepsilon g, \end{matrix} \right.
Dumortier, Freddy, Roussarie, Robert
openaire +2 more sources
Branching of periodic orbits from Kukles isochrones
We study local bifurcations of limit cycles from isochronous (or linearizable) centers. The isochronicity has been determined using the method of Darboux linearization, which provides a birational linearization for the examples that we analyze.
B. Toni
doaj
Integrable systems with BMS3 Poisson structure and the dynamics of locally flat spacetimes
We construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions.
Oscar Fuentealba +6 more
doaj +1 more source
Interpolation categories for conformal embeddings
Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
wiley +1 more source
Free semigroups of large critical exponent
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +1 more source
Localization sequences for logarithmic topological cyclic homology
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
A note on: “Abelian integrals and bifurcation theory”
The uniqueness of limit cycles for the vector-field \[ \dot x=x^ q(\lambda x+Bxy+\epsilon x^ 3),\quad \dot y=x^ q(1/4-x^ 2-y^ 2), \] where \(\epsilon\), \(\lambda\) are small real parameters and B is a positive number is considered. It is proved that the uniqueness result holds for all positive B and therefore no restrictions on B has to be made.
openaire +2 more sources
Abelian integrals and bifurcation theory
Conditions are given for uniqueness of limit cycles for autonomous equations in the plane. The results are applicable to codimension two bifurcations near equilibrium points for vector fields.
Carr, Jack, Chow, Shui-Nee, Hale, Jack K
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Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source

