True theory can not be linear. Albert Einstein		If you are, then take the lead V.P.Chkalov

 

 

From Editorial Board

 

The year of 2011 was declared a Year of Astronautics in Russia and the whole World in commemoration of the first space flight of a Man.

On 12 April 1961, for the first time ever, Yuri Alexeevich Gagarin, the First astronaut of the Earth, pilot in command of Vostok-1 spacecraft, got off the launch pad at 09:07 a.m. and performed a single orbit pass, which opened the Epoch of manned space flights.

Congratulating all our colleagues on this outstanding event, we should emphasize that this success was provided, first of all, by the development of the science of Mechanics, which is a basis for the entire Building of theoretical considerations and engineering achievements, including the ones in Astronautics.

The great Russian scientist Konstantin Eduardovich Tsiolkovsky was the originator of the Epoch of Space exploration, with profound development of all the areas of basic and applied astronautics. This Epoch is associated with distinguishing achievements in space exploration, implemented on the basis of fundamental science and thought-out engineering practice: from the first, Soviet, Earth satellite (4 October 1957) - to the first Man on space orbit (Yu.A.Gagarin, 12 April 1961), to the satellite constellations and International space stations, to the space flights and lunar landing, to the interplanetary missions:

Scientific theories and approaches that became a basis for the first space theoretical and applied research, including the problems of dynamics of celestial bodies and artificial satellites and engineering problems of space flights, are associated with the names of outstanding mathematicians and specialists in Mechanics, with Russian scientific and design Schools, which have been recognized all over the world. They are the Academicians: Leonard Euler; Alexander Mikhailovich Lyapunov, founder of the motion stability theory; Nikolay Guryevich Chetaev, who interpreted A.M.Lyapunov's concepts and theory to the whole scientific and engineering World, who founded Kazan Chetaev's School of stability and Kazan Aviation Institute (A.N.Tupolev KAI-KSTU - A.N.Tupolev KNRTU); Sergey Pavlovich Korolev, Chief Designer of rocket-space technique; Mstislav Vsevolodovich Keldysh, scientific Head of the USSR Space Program, Theorist in Astronautics - a brilliant specialist in mechanics and mathematics:

Close interdisciplinary relation between the fundamental and applied fields of science and its individual disciplines is of vital importance for the development of the elaborate rocketry and for successful solution of Space exploration problems. Fundamental science of Mechanics and its sections play an important role here.

Important role of Mechanics as a fundamental basic scientific discipline for all other disciplines and our Knowledge on the whole is unquestionable. It is Mechanics which supplies us with models and methods covering all areas of theory and engineering:

Since Newton and Euler, Mechanics has been the main tool for the research of celestial bodies and all the processes in near-Earth and outer Space; Mechanics provides powerful tools for description of processes at micro level; for description of complex processes inside the Earth, in geodynamics; in the study of volcanic eruption processes, hurricane dynamics; in arctic exploration,:

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

 

			"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 thistree and cultivated in other natural sciences" G.G.Chyorny
	Unity in diversity V.Lakshmikantham

 

 

 

 

 

 

 

 

 

 

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 (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 current issue of "Problems of Nonlinear Analysis in Engineering Systems" 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.

The series of papers by Chris P.Tsokos, Head of the Scientific School of simulation in complex interdisciplinary systems (University of South Florida, USA), Invited Editor of this series, proceeds with the next group of these papers in the framework of the Project "Simulation in environmental, engineering-and-technical, medical-and-biological problems".

The issue also presents the papers and reviews of interdisciplinary subjects, scientific research and interdisciplinary spheres generated by the needs of fundamental science and engineering applications. These papers are prepared on the researches results discussed at the International scientific conferences, workshops and symposia within scientific Projects, supported by scientific Foundations, International Associations, Academies (Bonn ,Kazan, Atlanta, San Paulo, Ankara). The studied objects are interdisciplinary systems which require knowledge of different scientific areas. It is at the interface of different disciplines where new hypotheses emerge providing profound comprehension of the surrounding World and understanding of its processes.

The papers submitted in the current issue 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 and education.

This issue was 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.