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Further Insights into Oscillation Theory

Further Insights into Oscillation Theory
Author: Nikolai Verichev
Publisher: Cambridge Scholars Publishing
Total Pages: 496
Release: 2021-07-27
Genre: Technology & Engineering
ISBN: 1527572978

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The book is written for students of universities and postgraduate students specializing in the field of nonlinear dynamics, as well as specialists in various fields of mechanical engineering. It is devoted to the development of original methods, and outlines the results of analytical studies of dynamical chaos, synchronization, and dynamic structures in lattices of coupled rotators. It presents its findings within the context of the phase space of models and by involving methods of the qualitative theory of differential equations, the theory of bifurcations, and qualitative numerical methods.


Essays in the History of Mathematics

Essays in the History of Mathematics
Author: Arthur Schlissel
Publisher: American Mathematical Soc.
Total Pages: 81
Release: 1984
Genre: Mathematics
ISBN: 0821822985

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"The papers in this volume represent the talks given at the special session on the history of mathematics held at the annual meeting of the American Mathematical Society, San Francisco, California, January 7-11, 1981. The invited speakers were researchers of mathematics who spoke about some historical aspect of their particular area of interest. Thus, the presented papers were views of subjects through the eyes of those who helped shape, develop, contribute to them."--Introduction.


On Some Aspects of Oscillation Theory and Geometry

On Some Aspects of Oscillation Theory and Geometry
Author: Bruno Bianchini
Publisher: American Mathematical Soc.
Total Pages: 208
Release: 2013-08-23
Genre: Mathematics
ISBN: 0821887998

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The aim of this paper is to analyze some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian manifolds with related topological and geometric applications. To keep their investigation basically self-contained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view.


Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems
Author: Gerald Teschl
Publisher: American Mathematical Society
Total Pages: 370
Release: 2024-01-12
Genre: Mathematics
ISBN: 147047641X

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This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.


Monthly Weather Review

Monthly Weather Review
Author:
Publisher:
Total Pages: 1298
Release: 1992
Genre: Electronic journals
ISBN:

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Dynamic Stability of Hydraulic Gates and Engineering for Flood Prevention

Dynamic Stability of Hydraulic Gates and Engineering for Flood Prevention
Author: Ishii, Noriaki
Publisher: IGI Global
Total Pages: 677
Release: 2017-08-11
Genre: Technology & Engineering
ISBN: 1522530800

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Hydraulic gates are utilized in multiple capacities in modern society. As such, the failure of these gates can have disastrous consequences, and it is imperative to develop new methods to avoid these occurrences. Dynamic Stability of Hydraulic Gates and Engineering for Flood Prevention is a critical reference source containing scholarly research on engineering techniques and mechanisms to decrease the failure rate of hydraulic gates. Including a range of perspectives on topics such as fluid dynamics, vibration mechanisms, and flow stability, this book is ideally designed for researchers, academics, engineers, graduate students, and practitioners interested in the study of hydraulic gate structure.


Equitable Principles of Maritime Boundary Delimitation

Equitable Principles of Maritime Boundary Delimitation
Author: Thomas Cottier
Publisher: Cambridge University Press
Total Pages: 835
Release: 2015-04-30
Genre: Law
ISBN: 1316299805

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Equity emerged as a powerful symbol of aspired redistribution in international relations. Operationally, it has had limited impact in the Westphalian system of nation states - except for maritime boundary delimitations. This book deals with the role of equity in international law, and offers a detailed case study on maritime boundary delimitation in the context of the enclosure movement in the law of the sea. It assesses treaty law and the impact of the United Nations Convention on the Law of the Sea. It depicts the process of trial and error in the extensive case law of the International Court of Justice and arbitral tribunals and expounds the underlying principles and factors informing the methodology both in adjudication and negotiations. Unlike other books, the main focus is on equity and its implications for legal methodology, in particular offering further guidance in the field of international economic law.


NASA Scientific and Technical Reports

NASA Scientific and Technical Reports
Author: United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Publisher:
Total Pages: 448
Release: 1968
Genre: Aeronautics
ISBN:

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Chemical Instabilities

Chemical Instabilities
Author: G. Nicolis
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2012-12-06
Genre: Science
ISBN: 9400972547

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On March 14-18, 1983 a workshop on "Chemical Instabilities: Applications in Chemistry, Engineering, Geology, and Materials Science" was held in Austin, Texas, U.S.A. It was organized jointly by the University of Texas at Austin and the Universite Libre de Bruxelles and sponsored qy NATO, NSF, the University of Texas at Austin, the International Solvay Institutes and the Ex xon Corporation. The present Volume includes most of the material of the in vited lectures delivered in the workshop as well as material from some posters, whose content was directly related to the themes of the invited lectures. In ,recent years, problems related to the stability and the nonlinear dynamics of nonequilibrium systems invaded a great num ber of fields ranging from abstract mathematics to biology. One of the most striking aspects of this development is that subjects reputed to be "classical" and "well-established" like chemistry, turned out to give rise to a rich variety of phenomena leading to multiple steady states and hysteresis, oscillatory behavior in time, spatial patterns, or propagating wave fronts. The primary objective of the workshop was to bring together researchers actively engaged in fields in which instabilities and nonlinear phenomena similar to those observed in chemistry are of current and primary concern : chemical engineering (especially surface catalysis), combustion (dynamics of ignition, flame sta bili t;y), interfaces (emulsification, dendritic growth), geology (regularly repeated patterns of mineralization 1n a variety of spabe scales), and materials science (dynamical solidification, behavior of matter under irradiation).