True theory cannot be linear A.Einstein
			Unity in Diversity V.Lakshmikantham

 

 

From Editorial Board

International Journal "Problems of Nonlinear Analysis in Engineering Systems" is an interdisciplinary bilingual scientific periodical Edition, which represents the research of nonlinear problems in general, in the whole diversity of fundamental and applied sciences, including the disciplines of natural science and the Humanities.

Note, close interdisciplinary relation between the fundamental and applied fields of science, between different disciplines has vital importance for the development of our Knowledge in whole. Fundamental science "Mechanics" and its sections play an important role from this point.

Prominent role of Mechanics as a fundamental basic scientific discipline for all another disciplines and for our Knowledge in whole is unquestionable. Science "Mechanics" is investigating the motion and interactions of objects; and "Mechanics" supplies us with models and methods that are covering all areas of theory and engineering:

"Newtonian mechanics is an unequalled achievement of physics (natural philosophy), the whole history of human civilization. It is everlasting. Its powerful tree is sprouting more and more branches. Among them there are the branches that have grown from scions grafted on this tree and cultivated in other natural sciences", - G.G.Chyorny, Academician of Russian Academy of Science (Chairman of Russian National Committee on theoretical and applied mechanics, 2011).

ћ       Mechanics has been the main tool for the research of celestial bodies and all the processes in near-Earth and outer Space.

ћ       "Mechanics" provides powerful tools for description of processes at micro level; also - for description of complex processes inside the Earth, in geodynamics; in the study of volcanic eruption processes, hurricane dynamics; in Arctic exploration,:

ћ       Methods and models of Mechanics are giving very effective approaches for multidisciplinary engineering applications, including various domains: medicine, robot-technique, biomechatronics, mechanics of materials, nano-biotechnology, complex problems of designing in aviation and space technique, :

ћ       The Mechanics is to development of all adjacent disciplines, in which studied objects are the interdisciplinary systems requiring knowledge from various scientific areas. Exactly on boundary between different disciplines the new hypotheses are generated, that providing deep knowledge of World around, with understanding of occurring phenomenas.

ћ       Without Mechanics, without close interdisciplinary relations between theoretical and applied areas, between different disciplines of the Science, the deepening our Knowledge in whole is impossible.

Moreover exactly Mechanics is promoting the development of "mathematical constructions of exclusive beauty": the dynamic systems theory, A.M.Lyapunov stability theory (which 120-th Anniversary is celebrated in 2012):. And it plays in all this the major role, with uniting efforts of theorists and engineers, with development and synthesis of methods for the solving problems in interdisciplinary spheres of a science, education and engineering practice, in the research of nonlinear problems in general, in the whole diversity of fundamental and applied sciences including the disciplines of natural science and the Humanities (mathematics, mechanics, physics, chemistry; engineering, biological, medical, social, political sciences; ecology, cosmology; economics and financial mathematics; nanoscience

 

and nanotechnology, stability and sustaining development, problems of risks and information security, operation research, :).

": The stability theory and dynamic properties analysis of nonlinear systems - it is magnificent tree, possessing the classical stem, the deep strong roots from Mechanics, :, from important engineering problems,:", - V.M.Matrosov, Academician of Russian Academy of Science (President of Academy of nonlinear sciences, 2001).

In this direction it is very important the A.M.Lyapunov-N.G.Chetayev methodology, developed for problems of modelling and analysis in engineering practice and for extending our Knowledge in whole. The A.M.Lyapunov stability theory is giving for us the constructive mathematical tool, and it is confirming:

"mathematics is an effective "transport" which is able to provide significant breakthrough in understanding of the essence of Environment, with deep penetration of its approaches into all the spheres including the unconventional ones".

":I always believed that the objective character of Self Organization and Irreversibility should be based on some qualitative properties of Dynamics; :Universe is a construction in progress, in which we participate ", - I.Prigogine, Nobel Laureate.

The current issue of "Problems of Nonlinear Analysis in Engineering Systems" (ї2 (38), Ф.18, 2012) carries articles, analytical researchers and authors results, scientific and information papers that reflect the views of specialists and highlight some topical interdisciplinary problems of present and future.

Among them it is presented the papers and reviews of interdisciplinary subjects, scientific research and interdisciplinary spheres generated by the needs of fundamental science and engineering applications. These articles are prepared on the researches results discussed at the International scientific forums and conferences, including World Congress of Nonlinear Analysts (WCNA-2012), within invited scientific Session "Problems and methods of modelling and analysis in Complex multidisciplinary Systems Dynamics", devoted to 120-th Anniversary of "Stability theory of A.M. Lyapunov" and to Memory of great, brilliant Scientists - N.G.Chetayev (110 years); I.R.Prigogine, NOBEL LAUREATE (95 years); V.M.Matrosov(80 years).

The topics are discussed in these researches: the problems of Cosmology and evolution of Solar System; robust identification of multiparametric systems with using stochastic A.M.Lyapunov function; the modelling and analysis in problems of supersonic flow; the problems of synthesis of control systems for space orbital complexes with using manipulators; the problems of modelling, optimization and robustification for sustainable development, with applications to the financial systems features.

Also it is presented the brief scientific-information survey, devoted to 20-th Anniversary of Russian Foundation of Basic Researches.

The submitted papers will undoubtedly promote cooperation of specialists in theory and applications, support the synthesis of approaches to the solution of problems in interdisciplinary spheres of science, education and engineering practice.

The issue is prepared with support of our Partners: International Federation of Nonlinear Analysts, Academy of Nonlinear Sciences, International Nano-biotechnology Center (INT), Kazan Federal University (KFU), N.E.Bauman Moscow State Technical University, Moscow Aviation Institute (National Research University),V.F.Trapeznikov Institute of control problems of RAS, A.A.Dorodnitsyn Computing Centre of RAS; Concern CSRI Elektropribor, JSC; TsNIImash.