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Sbornik Mathematics is a peer-reviewed journal published by IOP Publishing, covering Differential Equations and Boundary Problems, Advanced Mathematical Modeling in Engineering, Mathematical Dynamics and Fractals.
| Publisher | IOP Publishing |
|---|---|
| Reference style | Numbered (IOP) Numbered — [1], [2] in the text [1] Smith A, Jones B and Lee C 2023 A representative article title Sbornik Mathematics 12 45–58
Formats any DOI in Sbornik Mathematics style. No sign-up. |
| Publishes research in | Differential Equations and Boundary Problems Advanced Mathematical Modeling in Engineering Mathematical Dynamics and Fractals advanced mathematical theories Holomorphic and Operator Theory |
| ISSN | 1064-5616 |
| Citation impact (2-yr) | 0.82 |
| h-index | 51 |
| i10-index | 814 |
| Total citations | 24,995 |
| Top institutions publishing here | Lomonosov Moscow State University |
| Journal website | iopscience.iop.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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The concept of two-scale convergence associated with a fixed periodic Borel measure is introduced. In the case when is Lebesgue measure on the torus convergence in the sense of Nguetseng-Allaire is obtained. The main properties of two-scale convergence are revealed by the simultaneous consideration of a sequence of functions and a sequence of their gradients.…
A class of quadratic stochastic operators acting in a finite-dimensional simplex is distinguished that has trajectory at any point of the simplex behaving in a nonregular fashion as a rule. For the discrete dynamical systems generated by such operators the existence of a Lyapunov function of the form is proved, and an algorithm for finding…
It is proved that in the space of -smooth () flows in () there exist regions filled by systems that each have an attractor (here: a completely stable chain-transitive closed invariant set) containing a non-trivial basic hyperbolic set together with its unstable manifold, which has points of non-transversal intersection with the stable manifold. A construction…
We prove results on the transcendence degree of a field generated by numbers connected with the modular function . In particular, we show that and are algebraically independent and we prove Bertrand's conjecture on algebraic independence over of the values at algebraic points of a modular function and its derivatives.
