Quasi Conservative Systems
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| Author | : Albert D. Morozov |
| Publisher | : World Scientific |
| Total Pages | : 342 |
| Release | : 1998 |
| Genre | : Science |
| ISBN | : 9789810228101 |
This monograph presents the theory of nonconservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to nonintegrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analyzed.The fundamantal part of the book deals with the investigation of the perturbable systems. Both autonomous and nonautonomous (periodic in time) systems are considered. The global analysis of systems close to the two-dimensional Hamiltonian ones takes a central place in the text. This global analysis includes the solution to problems such as the limit cycles, resonances, and nonregular dynamics. For the autonomous systems, one should note the analysis of the standard (Duffing and pendulum) equations including the solution to the ?weakened? 16 Hilbert's problem, and for the nonautonomous systems one should note the mathematical foundations of the theory of synchronization of oscillations (the existence of new regimes, and the passage of invariant tori across the resonance zones under the change of detuning). The presentation is accompanied by examples.
| Author | : G. V. Savinov |
| Publisher | : |
| Total Pages | : 4 |
| Release | : 1953 |
| Genre | : Barium compounds |
| ISBN | : |
| Author | : Boris Leonidovich Rozhdestvenski_ |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 700 |
| Release | : 1983-12-31 |
| Genre | : Science |
| ISBN | : 9780821898062 |
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
| Author | : V.I. Babitsky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2012-11-02 |
| Genre | : Technology & Engineering |
| ISBN | : 3540444882 |
This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.
| Author | : Petre P. Teodorescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 778 |
| Release | : 2007-06-06 |
| Genre | : Science |
| ISBN | : 1402054424 |
This book examines the study of mechanical systems as well as its links to other sciences of nature. It presents the fundamentals behind how mechanical theories are constructed and details the solving methodology and mathematical tools used: vectors, tensors and notions of field theory. It also offers continuous and discontinuous phenomena as well as various mechanical magnitudes in a unitary form by means of the theory of distributions.
| Author | : |
| Publisher | : |
| Total Pages | : 1208 |
| Release | : 1995 |
| Genre | : Mechanics, Applied |
| ISBN | : |
| Author | : R.F. Nagaev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 328 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3540457615 |
This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special "potential" function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and a number of results are presented that are immediately useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.
| Author | : Polina S. Landa |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 401 |
| Release | : 2012-11-12 |
| Genre | : Mathematics |
| ISBN | : 3540452524 |
This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new results of the theory - obtained partially by the author, who is one of the leading experts in the area. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems.
| Author | : |
| Publisher | : |
| Total Pages | : 1106 |
| Release | : 1914 |
| Genre | : Physics |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 590 |
| Release | : 1914 |
| Genre | : Physics |
| ISBN | : |
