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    Russian Journal of Nonlinear Dynamics is an interdisciplinary peer-reviewed journal covering both fundamental fields and areas of applied science. The journal endeavors to stimulate the development of multilateral relations between the theory and applications and to promote the interpenetration of various disciplines and the use of advanced mathematical and computer-based methods in the study of real dynamical systems.

    The journal accepts papers devoted to theoretical, numerical and experimental studies. Papers dealing with the description, modeling and prediction of dynamical effects in mechanics, nature and robotics are highly welcome.

    The journal publishes original studies, review articles, hypotheses, discussions as well as translations of important foreign works and interesting historical materials with comments.

    Copyright and related rights

    We accept for consideration manuscripts that have not been previously published elsewhere. Publication of papers in the Russian Journal of Nonlinear Dynamics journal does not prohibit authors from sending their papers to other journals. However, we expect the authors to observe the ethical rules for scientific publications. The content of the journal is protected by copyright. Any use of materials published in the journal should be accompanied by a reference to the corresponding publication in the Russian Journal of Nonlinear Dynamics journal.

    The Russian Journal of Nonlinear Dynamics journal adheres to the open access policy. Papers published in the journal are provided to readers under the terms of the free CC BY license. According to the terms of the license, the authors retain exclusive rights to their papers. The authors may choose whether the paper will be available under the terms of the license CC BY-ND – Creative Commons Attribution-NoDerivs 3.0 Unported or a more permissive license, CC BY-SA – Creative Commons Attribution-ShareAlike 3.0 Unported. The CC BY-ND license allows distribution, commercial and noncommercial use of papers published in the journal as long as they remain unchanged and complete and provided that the authorship is indicated and a reference is made to the corresponding publication in the Russian Journal of Nonlinear Dynamics journal. In addition to the above-mentioned rights, the papers published under the terms of the CC BY-SA license may be used as a basis for writing other papers. All new works based on those published in the Russian Journal of Nonlinear Dynamics journal under the terms of the CC BY-SA license should be distributed in accordance with the same license, the authorship of the initial paper should be indicated and its bibliographic data should be given. We recommend the authors to use the CC BY-SA license for papers that include the source code for computer software developed by the authors and other resources which may be used as a basis for other works.

    By sending a manuscript to the journal using the interactive web-form or by email, the authors accept the terms of the agreement  published on the journal’s website in the form of a public offer, and give consent to processing of their personal data. Prior to sending the manuscript, the authors should make sure that the paper and all its parts (illustrations, appendices, etc.) may be published under the terms of the free Creative Commons Attribution license.

    Publication Fee

    The journal does not charge neither publication nor submission fee. The decision on publication is made by the Editorial Board according to the results of an independent review.

    Data depository policy

    Full texts of articles are stored on the journal's server and can be accessed via the website: Information on all articles published in the journal is also stored in the scientific electronic library and in the All-Russian mathematical portal Math-Net.Ru. In the these information systems you can perform an advanced search for the journal's articles (using keywords, author's name, title, section etc.) and, using the link on the individual page of the article, you can access it.

    Peer review process

    The main type of review used by Russian Journal of Nonlinear Dynamics is single-blind review. This means that the reviewer knows who the author of the paper is, but the author does not know the identity of the reviewer.

    Primary processing: the editorial board gives a preliminary assessment of the manuscript with respect to the subject area and the main requirements of the journal and takes a decision as to whether or not the manuscript shall be accepted for consideration.

    For papers that comply with the formal requirements, the editorial board prepares a list of possible reviewers. Manuscripts can be assigned for review both to members of the editorial board and to specialists in the subject area of the paper. The referee shall be an internationally recognized expert conducting an active research activity. He shall not be an employee of the same department as the author of the manuscript, his coauthor in recent publications or maintain a close scientific cooperation with the author for the time being etc. The review shall meet the following requirements: assessment of topicality, novelty, the scientific level of the study and quality of exposition of the study.

    The additional review is required in cases where: a subjective criticism makes itself evident and an emotional assessment of the author’s work predominates in the first review; the author raises justified objections concerning the negative opinion of the first referee(s). The rights of referees to confidentiality shall be respected.

    The editorial board shall send the review to the author and request him/her to improve the manuscript according to the referee’s and editorial comments. Editorial comments are concerned with the compliance with general formal requirements of the journal, regarding the list of references, formulae, exposition and structure of the paper. The accepted paper is published in the next issue of the journal.

    Online First Publication

    Articles accepted for publication will now be available online prior to their inclusion in a journal volume/issue which expedites access to the latest peer-reviewed research and reduces time between their submission and publication.

    We publish each accepted article as soon as it is ready, i.e. after a proof has been corrected and finalized.

    Online First article is searchable and citeable by journal title and DOI. Information such as volume, issue, and page numbers are not assigned to Online First articles, therefore these manuscripts should be cited as follows:

    Authors, Article Title, Journal Title, Year, DOI

    After the article is assigned to a particular issue, new citations contain data such as volume, issue, year and page numbers:

    Authors, Article Title, Journal Title, Year, Volume, Issue Number, Page numbers

    Please note that Online First articles appear in their final form. Therefore, papers cannot be changed or withdrawn after electronic publication. Any corrections can be made only as an Erratum (or an Addendum), which will be hyperlinked to the article.

    The list of papers published Online First can be found on the homepage of the journal (by clicking Online First Articles). Once an Online First article is assigned to its issue and given its bibliographic data, such as volume, issue, year and page numbers, it is removed from the list of Online First articles and placed in the corresponding issue.

    Guidelines for Manuscript Submission to the Russian Journal of Nonlinear Dynamics

    • Manuscripts are accepted for consideration with the understanding that they have not been published previously and are not being considered for publication elsewhere. All manuscripts shall be submitted to the editorial board via the On-line submission system on the homepage of the journal. In the private office you can keep track of the current status of your paper, respond to referee’s comments and download the revised versions of your paper. Online submission is a preferable system for submitting manuscripts to the editorial board. It has been developed for convenience of authors and editors. If for any reason you cannot use the interactive form, manuscript may be sent to the editorial board at

    • The text of the paper should be submitted in electronic form, preferably in LaTeX format by using ND template files or with Overleaf service (please use TeX Live 2020 settings for correct compilation). At the stage of initial submission to the editorial board, the authors should upload only a pdf-file containing the entire paper, including figures, tables and the list of references. LaTeX source files should be sent after the editorial board has decided to publish the article. If you have any questions regarding preparation of manuscripts, please do not hesitate to contact us by email:

    • The following data should be given on the first page of the paper:

    • — title of the paper;

      — information on each of the authors: full name (surname, first name, and patronymic), e-mail, affiliation, exact postal address of the organization (example: Universitetskaya 1, Izhevsk, 426034, Russia);

      — abstract (volume: no less than 250 words and, as far as possible, without formulas and references to bibliographic sources);

      — keywords.

    • Also, please indicate codes of the Mathematics Subject Classification 2010 (MSC), which can be found from the link;

    • Figures are accepted in EPS format with a resolution of 300-600 dpi. Please note that colored figures will be placed only in the electronic version of the journal and that all figures in the printed version will be in black and white. Parts of a figure shall be labeled with Latin low-case letters of Roman type in parentheses, e.g., (a), (b).

    • References to the literature, formulas, figures, tables, sections of the paper etc. shall be generated automatically. References to parts of a figure shall be labeled with Latin low-case letters of Roman type without parentheses and without a gap after the number. The list of references should be in alphabetic order or in the order in which they appear in text.

    • In addition to the paper, the authors may also attach animations, video files, audio files or any other additional information for placement on the journal’s website.

    • The authors are encouraged to propose one or several possible reviewers during paper submission; however, this does not mean that the editorial board will assign the paper to the reviewers proposed by the authors.

    • All source files should be uploaded via the private office after the paper has been accepted for publication (the author responsible for correspondence with the editorial board will receive an e-mail to this effect).

    Please pay attention to the list of the most typical deficiencies found during the primary review of manuscripts. A manuscript cannot be accepted for consideration until these deficiencies have been eliminated:
    — the abstract is less than 250 words and provides no information on the obtained results;
    — the introduction does not describe how the proposed results are integrated in the modern scientific process, what place they hold, and what they are needed for, in other words, the introduction does not describe the motivation for the study;
    — the list of references does not mention recent publications in international scientific journals covering the subject area of the paper;
    — presentation of the material does not allow one to clearly distinguish between new results and those already well known.

    Guidelines for preparing a list of references

    Books and collections

    • Arnol'd V.I. Mathematical methods of classical mechanics, 2nd ed., New York: Springer, 1989.

    • Bott R., Tu L.W. Differential forms in algebraic topology, New York: Springer, 1982.

    • Samsonov V.A. Issues on Mechanics: Some Problems, Phenomena, and Paradoxes, Moscow: Nauka, 1980 (Russian).

    • Mobile Robots: Ball-Shaped Robot and Wheel Robot, A.V. Borisov, I.S. Mamaev, Yu.L. Karavaev (Eds.), Izhevsk: R&C Dynamics, Institute of Computer Science, 2013 (Russian).

    • Handbook of chemistry: In 7 vols.: Vol. 3, B.P. Nikolski (Ed.), Moscow: Khimiya, 1965 (Russian).

    • Gantmacher F.R. The Theory of Matrices: Vols. 1, 2, New York: Chelsea, 1959.

    • If you cite a multivolume edition that was published in parts within several years, then the dates of publications of all volumes shall be indicated:
      Tillich P. Systematic Theology, 3 vols., Chicago: Univ. of Chicago Press, 1951--1963.

    • Reference to one of several volumes:
      Wright S. Evolution and the Genetics of Populations, vol. 4: Variability within and among Natural Populations, Chicago: Univ. of Chicago Press, 1978.

    Papers in collections

    • Shalumov B.Z., Kuznetsov A.I., Rastorguev Y.I. Synthetic Procedure for Preparation of Alloyed Materials Based on Silicon Dioxide, in The Preparation of Substances for Fiber Optics, Moscow: Nauka, 1980, pp. 8-10.

    • Smale S. Stability and isotopy in discrete dynamical systems, in Dynamical systems: Proc. Sympos. (Univ. Bahia, Salvador, 1971), M. M. Peixoto (Ed.), New York: Acad. Press, 1973, pp. 527-530.

    Papers in journals

    • Parker L., Fulling S. Quantized Matter Fields and Avoidance of Singularities in General Relativity, Phys. Rev. D, 1973, vol. 7, pp. 2357-2374.

    • Damour T., Mukhanov V.F. Inflation without Slow Roll, Phys. Rev. Lett., 1998, vol. 80, no. 16, pp. 3440-3443.

    • Russian-language papers:
      Ivanov A.P., Shuvalov N.D., Ivanova T.B., On Detachment Conditions of a Top on an Absolutely Rough Support, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 3, pp. 103-113 (Russian).

    • Papers from translated journals:
      Ivanov A.P. The Conditions for the Unique Solvability of the Equations of the Dynamics of Systems with Friction, J. Appl. Math. Mech., 2008, vol. 72, no. 4, pp. 372-382; see also: Prikl. Mat. Mekh., 2008, vol. 72, no. 4, pp. 531-546.

    Proceedings of conferences

    • Nikolaev S.M., Shabunin A.V., Astakhov V.V. Multistability of partially synchronous regimes in a system of three coupled logistic maps, in Proc. of the Internat. Conf. «Physics and Control» (St. Petersburg, Russia, Aug 20-22), pp. 169-173.

    • Gotsulenko V.V. Relaxation periodic self-oscillations defined implicitly singularly perturbed systems of ordinary differential equations, in Proc. of the 4th Internat. Conf. for Young Mathematicians on Differential Equations and Its Applications dedicated to Ya.B. Lopatynsky (Donetsk, 2012), Donetsk: DonNU, 2012, pp. 36-37 (Russian).

    • Franks J. Anosov diffeomorphisms, in Global Analysis: Proc. Symp. in Pure Math. (Berkeley, CA, 1968): Vol. 14, Providence, R.I.: AMS, 1970, pp. 61-93.


    • Schroll G.C. Design of a spherical vehicle with flywheel momentum storage for high torque capabilities: Dissertation (bachelor of science), Massachusetts Institute of Technology, Cambridge, Mass., 2008.

    • Or Y. Frictional Equilibrium Postures for Robotic Locomotion --- Computation, Geometric Characterization, and Stability Analysis, PhD Thesis, Technion, Haifa, Israel, 2007.

    • Hall B. Why Does Chalk Squeak?, Master's Thesis, University of Bristol, Department of Engineering Mathematics, 2009.


    • Winternitz P. Symmetries of discrete systems, arxiv:nlin/0309058v1 (22 Sep 2003).

    • Markeev A.P., On Points Mapping Method and Some Its Application in Three-Body Problem, Preprint No 49, Keldysh Institute of Applied Mathematics of Academy of Sciences USSR, Moscow, 1973.

    Any questions regarding manuscript submission may be addressed to