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

 

 

 

From Editorial Board

 

In history of Mankind evolution it is necessary to indicate the period connected with outstanding Events, signifying with itself the beginning of the New Era in a life of Earth People - the Space Era. This Era leads the readout since October 4, 1957:

The first artificial satellite of the Earth (Soviet ) is launched.

The following major stage in this direction is connected with the beginning active exploration of Space:

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 next step in Space exploration with manned space flights. The new stage of the Space Era for Mankind has begun.

It is extremely important to emphasize that this success has been provided, first of all, by the development of the science of "Mechanics", which is a foundation for the whole Building of theoretical considerations and engineering achievements, including the ones in Astronautics.

The great Russian scientist Konstantin Eduardovich Tsiolkovsky was the Founder of the Epoch of Space exploration, with profound development of all the areas of basic and applied astronautics. This Epoch is associated with outstanding achievements in Space exploration, implemented on the basis of fundamental science of Mechanics and thought-out engineering practice.

It was generating the next qualitative jump in evolution of our Civilization in whole.

Scientific theories and approaches of Mechanics that are a basis for the space theoretical and applied researches, including complex 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 Academicians:

Leonard Euler; Alexander Mikhailovich Lyapunov, Founder (1892З.) of the motion stability theory; Nikolay Guryevich Chetayev, who extended A.M.Lyapunov's concepts and theory to the whole scientific and engineering World, who founded Kazan Chetaeyv's School of Mechanics and Stability and organized (1932) Kazan Aviation Institute (KAI - A.N.Tupolev 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, between different disciplines has vital importance for the development of the elaborate rocketry and for successful solution of Space exploration problems. Fundamental science "Mechanics" and its sections play an important role from this point.

Important 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.

From Newton and Euler times, Mechanics has been the main tool for the research of celestial bodies and all the processes in near-Earth and outer Space. At present "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,:

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, :

The Mechanics is to development of all related subjects, 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. Without Mechanics, without close interdisciplinary relations between theoretical and applied areas, between different disciplines of the Science, the deepening our Knowledge in whole (including successful Space exploration) is impossible.

 

Exactly Mechanics, with its areas promoting development of the dynamic systems theory, of A.M.Lyapunov stability theory (120-th Anniversary of that we celebrate in 2012), plays in all this the major role, providing joint of 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.

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" (ї1 (37), 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.

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 on interdisciplinary topics, scientific research and multidisciplinary spheres, that are 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 (Kazan, Atlanta, Barselona, Liege).

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 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.