3 edition of Asymptotic methods of investigation of periodic solutions of nonlinear hyperbolic equations found in the catalog.
Asymptotic methods of investigation of periodic solutions of nonlinear hyperbolic equations
A. IНЎU Kolesov
|Statement||A. Yu Kolesov, E.F. Mishchenko, and N. Kh. Rozov.|
|Series||Proceedings of the Steklov Institute of Mathematics -- v. 222., Trudy Matematicheskogo instituta imeni V.A. Steklova -- 1998, issue 3.|
|Contributions||Mishchenko, E. F., Rozov, N. Kh. 1938-|
|The Physical Object|
|Pagination||188 p. :|
|Number of Pages||188|
Handbook of Nonlinear Partial Differential Equations Second Edition, Updated, Revised and Extended P. D., Weak solutions of nonlinear hyperbolic equations and their numerical computation, Communs. V. F., Handbook of Nonlinear Partial Differential Equations, 1st ed., Chapman Hall/CRC Press. Yu. A. Mitropolskii, On the investigation of an integral manifold for á System ïf nonlinear equations with variable coefficients, Ukrain. Mat. Z. 10 (), — MR 21 #a. J. Moser, On á theorem of Anosov, J. Differential Equations 5 (), — MR 38 # V. V. Nemyckii and V. V. Stepanov, Qualitative theory.
Motivated by a wheelset application we present numerical methods for the investigation of periodic motions of mechanical multibody systems depending on parameters. The equations of motions of such rultibody systems are differential algebraic equations of index three, and require a different treatment from explicit ordinary differential equations. This research area includes analysis of differential equations, especially those which occur in applications in the natural sciences, such as fluid dynamics, materials science, or mathematical physics. the development of the theory of reducibility in linear differential equations with quasi-periodic coefficients, and other equations. In Mitropolskii and Bogolyubov published a monograph on asymptotic methods in nonlinear oscillations. In particular this book contained the results the authors had obtained during the ten years from to.
Nonlinear Systems, Weakly Nonlinear Systems, Nonlinear Differential Equations, Perturbation Methods 1. Introduction When physicists or engineers are faced with a theoretical investigation of a real physical system, they are always forced to simplify and to idealize the problem in . Considered here are systems of partial differential equations arising in internal wave theory. The systems are asymptotic models describing the two-way propagation of long-crested interfacial waves in the Benjamin-Ono and the Intermediate Long-Wave regimes. Of particular interest will be solitary-wave solutions of these systems. We study the dynamics of the localized pulsating solutions of generalized complex cubic-quintic Ginzburg-Landau equation (CCQGLE) in the presence of intrapulse Raman scattering (IRS). We present an approach for identification of periodic attractors of the generalized CCQGLE. Using ansatz of the travelling wave and fixing some relations between the material parameters, we derive the strongly Cited by: 3.
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SyntaxTextGen not activatedHow well is Nature pdf by the varied asymptotic models that imaginative scientists have invented? B. Birkhoff [52J This book deals with asymptotic methods in nonlinear dynamics.
For the first time a detailed and systematic treatment of new asymptotic methods in combination with the Pade approximant method is presented.Read "Approximate methods for solving nonlinear initial boundary-value problems based on special constructions of series, Russian Journal of Numerical Analysis and Mathematical Modelling" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already ebook complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering.
It may be used to great effect as a course textbook, research reference, or self-study guide.