• De Gruyter 2013


Nonconservative Stability Problems
of Modern Physics

I have summarized the existing theoretical concepts and approaches to nonconservative stability problems on the basis of my original contributions and vision of the field in the 429-page monograph “Nonconservative stability problems of modern physics” published by De Gruyter in 2013. My monograph is already held by >1170 libraries worldwide (including Yale, UPenn, Brown, Princeton, Columbia, Cornell, BerkeleyMIT, NYU, UChicago, UMich, CaMe, JHU, Stanford, Oxford, ETH, EPFL, BNF, UPMC, Kyoto, HU Berlin, Tsinghua, Russian State Library, etc.). The book has already got excellent reviews, for example: “Not often appears a monograph that combines the exposition of the modern mathematical methods and their application to the study of important physical phenomena. It is a wonderful example of the excellent Moscow school of mathematical physics.”
(Prof. Ferdinand Verhulst, University of Utrecht, the Netherlands, for the Nieuw Archief voor Wiskunde, vol. 15, pp. 290-291, December 2014, pdf).

  • Wiley 2014


Nonlinear Physical Systems:
Spectral Analysis, Stability and Bifurcations

In order to intensify communication across different scientific communities and involve new researchers into the development of the unified non-conservative stability theory I initiated an ambitious project of organizing an international BIRS workshop at the Banff International Research Station (BIRS) for Mathematical Innovation and Discovery in Banff, Alberta, Canada. In 2012 after winning a tough competition we got a grant from BIRS and organized a very successful 5 days BIRS Research Workshop on Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems. A collection of selected articles from the participants of the Workshop has been published under Dmitry Pelinovsky and my edition by Wiley in 2014. Many participants commented that they benefited a lot from the crossdisciplinary nature of the workshop ( “Yes, I have benefited by the workshop very much. The program covered rather interdisciplinary subjects. I could lean many new things. I could also start interactions with researches of different disciplines.” – Prof. Zensho Yoshida, University of Tokyo, Japan. “The Workshop was well conceived, bringing together people in fields that are different yet similar enough for meaningful and indeed useful connections to develop.” – Prof. Sir Michael Berry, University of Bristol, UK.

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