The Center And Focus Problem
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The Center And Focus Problem
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Author : M.N. Popa
language : en
Publisher: CRC Press
Release Date : 2021-09-23
The Center And Focus Problem written by M.N. Popa and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-23 with Mathematics categories.
The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (Hardback) This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. It is intended for mathematicians, researchers, professors and Ph.D. students working in the field of differential equations, as well as other specialists who are interested in the theory of Lie algebras, commutative graded algebras, the theory of generating functions and Hilbert series. The book reflects the results obtained by the authors in the last decades. A rather essential result is obtained in solving Poincaré's problem. Namely, there are given the upper estimations of the number of Poincaré-Lyapunov quantities, which are algebraically independent and participate in solving the Center and Focus Problem that have not been known so far. These estimations are equal to Krull dimensions of Sibirsky graded algebras of comitants and invariants of systems of differential equations. Table of Contents 1. Lie Algebra Of Operators Of Centro-Affine Group Representation In The Coefficient Space Of Polynomial Differential Systems 2. Differential Equations For Centro-Affine Invariants And Comitants Of Differential Systems And Their Applications 3. Generating Functions And Hilbert Series For Sibirsky Graded Algebras Of Comitants And Invariants Of Differential Systems 4. Hilbert Series For Sibirsky Algebras And Krull Dimension For Them 5. About The Center And Focus Problem 6. On The Upper Bound Of The Number Of Algebraically Independent Focus Quantities That Take Part In Solving The Center And Focus Problem For The System s(1,m1,...,m`) 7. On The Upper Bound Of The Number Of Algebraically Independent Focus Quantities That Take Part In Solving The Center And Focus Problem For Lyapunov System. Bibliography Appendixes Biographies Popa Mihail Nicolae, holds a Ph.D. from Gorky University (now Nizhny Novgorod, Russia). He has served as Director and Deputy Director of Vladimir Andrunachievici Institute of Mathematics and Computer Science (IMCS)) in the Laboratory of Differential Equations. He is Professor at the State University of Tiraspol (based in Chisinau). His scientific interests are related to the invariant processes in the qualitative theory of differential equations, Lie algebras and commutative graded algebras, generating functions and Hilbert series, orbit theory, Lyapunov stability theory. Pricop Victor Vasile, holds a Ph.D. from Vladimir Andrunachievici Institute of Mathematics and Computer Science. He is professor at the State Institute of International Relations of Moldova. Victor Pricop's scientific interests are related to Lie algebras and graded algebras of invariants and comitants, generating functions and Hilbert series, applications of algebras to polynomial differential systems.
The Center And Cyclicity Problems
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Author : Valery Romanovski
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-29
The Center And Cyclicity Problems written by Valery Romanovski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-29 with Mathematics categories.
Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The book gives the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on the theory of normal forms and stability of differential equations. It contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography, making it a suitable graduate textbook as well as research reference.
Limit Cycles Of Differential Equations
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Author : Colin Christopher
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-16
Limit Cycles Of Differential Equations written by Colin Christopher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-16 with Mathematics categories.
This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.
Dynamics And Control Of Hybrid Mechanical Systems
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Author : Gennadi? Alekseevich Leonov
language : en
Publisher: World Scientific
Release Date : 2010
Dynamics And Control Of Hybrid Mechanical Systems written by Gennadi? Alekseevich Leonov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Technology & Engineering categories.
The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents. The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.
Problems In Elementary Physics
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Author : Edwin Dana Pierce
language : en
Publisher:
Release Date : 1896
Problems In Elementary Physics written by Edwin Dana Pierce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Physics categories.
You Can T Beat The Issues
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Author : William Lenderking
language : en
Publisher: Xlibris Corporation
Release Date : 2014-01-31
You Can T Beat The Issues written by William Lenderking and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-31 with Biography & Autobiography categories.
In this conversation with oral historian Charles Stuart Kennedy, Bill Lenderking discusses his long and sometimes contentious diplomatic career, from Castro’s Cuba to post-9/11. A Foreign Service officer with the United States Information Agency, Lenderking also served with the Department of State in United Nations, Political-Military, and East Asian/Pacific affairs.
Creative Approaches To Problem Solving
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Author : Scott G. Isaksen
language : en
Publisher: SAGE Publications
Release Date : 2010-01-20
Creative Approaches To Problem Solving written by Scott G. Isaksen and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-20 with Business & Economics categories.
Everything your students need to solve problems, manage change and deliver innovation using the Creative Problem Solving framework This text is the most comprehensive and contemporary overview and description of Creative Problem Solving (CPS) available today. Friendly and highly practical for a broad base of researchers and practitioners, the book provides a framework, language, guidelines, and set of easy-to-use tools for understanding challenges, generating ideas, and transforming promising ideas into action. New and Hallmark Features The authors expanded their emphasis on CPS as a flexible, dynamic process that enables users to select and apply CPS tools, components, and stages in a meaningful way that meets their actual needs. A framework for problem solving that has been tested and applied across ages, settings, and cultures allows readers to apply a common approach to process across many traditional "boundaries." Specific objectives in each chapter provide a clear focus for instruction or independent learning. Practical case studies introduced at the beginning of each chapter and then completed as a "rest of the story" toward the end of the chapter provide an application anchor for the reader. New enhanced graphics: Updated and refreshed tables, figures, and illustrative images provide "pictures" to go along with the authors' words. A companion Web site with additional resources can be found at www.sagepub.com/Isaksen3e.
Rehabilitation R D Progress Reports
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Author :
language : en
Publisher:
Release Date : 1994
Rehabilitation R D Progress Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Disabled veterans categories.
Hearing Before The United States Commission On Civil Rights
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Author : United States Commission on Civil Rights
language : en
Publisher:
Release Date : 1977
Hearing Before The United States Commission On Civil Rights written by United States Commission on Civil Rights and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Age discrimination categories.
Digital Slr Cameras And Photography For Dummies
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Author : David D. Busch
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-29
Digital Slr Cameras And Photography For Dummies written by David D. Busch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-29 with Photography categories.
The perennial digital photography bestseller, now updated to cover the hottest topics Digital SLR Cameras & Photography For Dummies has been a bestseller since it first came into the picture, and this new edition gets you up to (shutter) speed on the latest technologies available. Veteran author David Busch walks you through new camera models from the leading manufacturers, WiFi and GPS options, full HD moviemaking, and the latest dSLR features. He also provides you with a solid foundation of knowledge about exposure, composition, and lighting that any new dSLR user needs to know to get great results from the camera. The straightforward-but-friendly coverage offers tips for choosing a camera and accessories, using different controls, maximizing lighting and exposure, and editing your photos. With this helpful book by your side, you'll learn your way around shutter speed, aperture, and ISO so that you can get a handle on the big picture while you take pictures! Introduces you to all the features common to dSLR cameras, whether it's Canon, Nikon, Sony, Pentax, Olympus, or another digital SLR camera Shares tips on composition, lighting and exposure controls, and file formats Shows you how to get photos from your camera to a computer and then how to manage, edit, and share your pics Offers hints on improving your skills, online resources, and the jargon of the pros If you're ready to get in the dSLR picture, then this is the book you need.