In this paper, we study the problem for local existence of holomorphic functions on the twistor space of an oriented Riemannian four-manifold endowed with an almost complex structure defined by a ...morphism of its twistor bundle.
For analytic differential systems x˙=Ax+f(x) in Fn with F=R or C, we study the varieties of their partial integrability in a neighborhood of the origin. We also prove the existence of analytic ...normalizations of partially integrable differential systems.
In this paper, we study the generalized involution and its properties together with those of generalized reversible differential systems induced by the generalized involution. As an application of ...our theory we discuss integrability of the generalized reversible differential systems and their related integrability varieties. We propose also a computational approach to find subfamilies of partially integrable systems inside some families of polynomial differential systems.
Contact flows and integrable systems Jovanović, Božidar; Jovanović, Vladimir
Journal of geometry and physics,
01/2015, Letnik:
87
Journal Article
Recenzirano
Odprti dostop
We consider Hamiltonian systems restricted to the hypersurfaces of contact type and obtain a partial version of the Arnold–Liouville theorem: the system need not be integrable on the whole phase ...space, while the invariant hypersurface is foliated on an invariant Lagrangian tori. In the second part of the paper we consider contact systems with constraints. As an example, the Reeb flows on Brieskorn manifolds are considered.
In this paper we investigate stability of the integrability property of skew products of interval maps under small
-smooth perturbations satisfying some conditions. We obtain here (sufficient) ...conditions of the partial integrability for maps under considerations. These conditions are formulated in the terms of properties of the unperturbed skew product. We give also the example of the partially integrable map.
Rational first integrals for periodic systems Jiao, Jia; Shi, Shaoyun; Zhou, Qingjian
Zeitschrift für angewandte Mathematik und Physik,
04/2011, Letnik:
62, Številka:
2
Journal Article
Recenzirano
In this paper, by using the Floquet’s theory, we present some criteria for non-existence and partial existence of rational first integrals for periodic systems in a neighborhood of the constant ...solution.
The main aim of this work is to relate integrability in QFT with a complete particle interpretation directly to the principle of causal localization, circumventing the standard method of finding ...sufficiently many conservation laws. Its precise conceptual-mathematical formulation as “modular localization” within the setting of local operator algebras also suggests novel ways of looking at general (non-integrable) QFTs which are not based on quantizing classical field theories.
Conformal QFT, which is known to admit no particle interpretation, suggest the presence of a “partial” integrability, referred to as “conformal integrability”. This manifests itself in a “braid-permutation” group structure which contains in particular informations about the anomalous dimensional spectrum. For chiral conformal models this reduces to the braid group as it is represented in Hecke- or Birman-Wenzl-algebras associated to chiral models.
Another application of modular localization mentioned in this work is an alternative to the BRST formulation of gauge theories in terms of stringlike vectorpotentials within a Hilbert space setting.
In this paper, we first present a necessary condition for diffeomorphisms to have formal first integrals. Moreover, we consider diffeomorphisms which have some nontrivial formal integrals. Under ...certain conditions, we show that the diffeomorphism does not admit any other formal integral in the sense of functionally independent first integrals.
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