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Applied Asymptotic Methods in Nonlinear Oscillations
ISBN: 9789048148653 / Angielski / Miękka / 2010 / 342 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted...
Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients...
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605,23 zł |
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Dichotomies and Stability in Nonautonomous Linear Systems
ISBN: 9780415272216 / Angielski / Twarda / 2002 / 400 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov functions with variable sign, expressed in quadratic forms, to the solution of this problem. The authors explore the preservation of invariant tori of dynamic systems under perturbation. This volume is a classic contribution to the literature on...
Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of...
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1121,89 zł |
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Applied Asymptotic Methods in Nonlinear Oscillations
ISBN: 9780792346050 / Angielski / Twarda / 1997 / 342 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted...
Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients...
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cena:
605,23 zł |
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Nonlinear Mechanics, Groups and Symmetry
ISBN: 9789048145171 / Angielski / Miękka / 2010 / 382 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincare--Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems....
This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Vario...
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cena:
806,99 zł |
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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
ISBN: 9780792345299 / Angielski / Twarda / 1997 / 214 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have...
The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differen...
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cena:
201,72 zł |
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Nonlinear Mechanics, Groups and Symmetry
ISBN: 9780792333395 / Angielski / Twarda / 1995 / 382 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) Asymptotic methods of nonlinear mechanics developed by N. M. Krylov and N. N. Bogoliubov originated new trend in perturbation theory. They pene trated deep into various applied branches (theoretical physics, mechanics, ap plied astronomy, dynamics of space flights, and others) and laid the founda tion for lrumerous generalizations and for the creation of various modifications of thesem. E f, hods. A great number of approaches and techniques exist and many differen. t classes of mathematical objects have been considered (ordinary differential equations, partial differential equations, delay...
Asymptotic methods of nonlinear mechanics developed by N. M. Krylov and N. N. Bogoliubov originated new trend in perturbation theory. They pene trated...
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cena:
806,99 zł |
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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients
ISBN: 9780792320548 / Angielski / Twarda / 1992 / 296 str. Termin realizacji zamówienia: ok. 10-14 dni roboczych (Bez gwarancji dostawy przed świętami) Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems.
Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equ...
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cena:
408,11 zł |
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Asymptotic Methods in Resonance Analytical Dynamics
ISBN: 9780415310086 / Angielski / Twarda / 2004 / 278 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincare. This text provides a useful source of...
Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic an...
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cena:
536,56 zł |
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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients
ISBN: 9789401052108 / Angielski / Miękka / 2012 / 280 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems.
The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A... Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equ...
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cena:
201,72 zł |
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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
ISBN: 9789401064262 / Angielski / Miękka / 2012 / 214 str. Termin realizacji zamówienia: ok. 22 dni roboczych (Bez gwarancji dostawy przed świętami) The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have...
The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differen...
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cena:
201,72 zł |
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