ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

Наука - образованию

Dynamics of two field­coupled spin­transfer oscillators

The model of two field­coupled spin­transfer oscillators has been derived and studied. It has been shown that this model demonstrates phase synchronization in a wide bandwidth, quasiperiodic oscillations and chaos.

Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems

A test of hyperbolic nature of chaotic attractors, based on an analysis of statistics distribution of angles between stable and unstable subspaces, is applied to reduced finite­dimensional models of distributed systems which are the modifications of the Swift–Hohenberg equation and Brusselator model, as well as to the problem of parametric excitation of standing waves by the modulated pump.

The study of multistability and external synchronization in nonautonomous system of two coupled van der pol oscillators with repulsive coupling

  In this paper we study the bifurcational mechanisms of synchronization and multistability formation in a system of two interacting van der Pol oscillators, one of which is under external harmonic forcing. We draw a two­parametric bifurcation diagram for phasereduced system and study its evolution in transition from symmetrical to asymmetrical repulsive interaction. Relying on the results of bifurcation analysis of non­reduced system we conclude that the synchronization scenarios found in the phase­reduced system correspond to the ones in the non­reduced system.

Scientific olympiad «physicist-researcher»

The new form of work with young researchers – Scientific Olympiad is introduced. The announcement of Scientific Olympiad and the problems are presented.

Qualitative analysis and discrete map for the kinematic problem: solutions of problems of scienti?c olympiad

The solution of two problems of scienti?c Olympiad are discussed. At the school level the analysis of the solutions illustrates examples of systems, which can display qualitative change of a state and for which a method of discrete maps may be applied.

Problems for educational course «dynamical chaos»

Problems for students are presented to be solved with computer for the educational course «Dynamical Chaos». The set of problems covers topics from the nature of chaos to the scenarios of its appearance. Methodical recommendations are given.

Summer physics mathematics school «varnavino» of the institute of applied physics of ras

Since 1988 Institute of Applied Physics of RAS organized Summer Physics Mathematics School for children (10-11 classes of high-school) who interested physics and mathematics. Now there are two sessions of this school – in June and in August. The program of the school consists of lectures, student’s seminars, sections, experimental work.  

Research problems

Some problems of introduction of the research methods in high-school education are discussed. The research problems for high-school students are proposed. By solving those problems high-school students will get to know the methods of the scientific work.  

«nonlinear minimum» in the theory of discrete maps

The introduction in the theory of discrete maps available for understanding to senior classes pupils and students of younger years is presented. It demonstrates correlation of discrete and continuous descriptions of dynamical systems. The physical examples facilitate a perception of a material. The computer tasks are presented, which decision gives a chance to generate enough capacious collection of programs, that can be used in research work.

Ecology by professor Bogdankevich

This notes are the belated response onto the «Lectures on Ecology» by professor O.V. Bogdankevich. The book is a cycle lectures of O.V. Bogdankevich for students of MPhTI, molecular and biological physics department. Download full version