Implicit First Order Dynamical Systems (I) PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Implicit First Order Dynamical Systems (I) PDF full book. Access full book title Implicit First Order Dynamical Systems (I) by Virgil Obădeanu. Download full books in PDF and EPUB format.
Author: Virgil Obădeanu
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 26
Get Book Here
Book Description
Author: Virgil Obădeanu
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Virgil Obădeanu
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 26
Get Book Here
Book Description
Author: Virgil Obădeanu
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 14
Get Book Here
Book Description
Author: Virgil Obădeanu
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 18
Get Book Here
Book Description
Author: Virgil Obădeanu
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 12
Get Book Here
Book Description
Author: Virgil Obădeanu
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 14
Get Book Here
Book Description
Author: Gerald Teschl
Publisher: American Mathematical Society
ISBN: 147047641X
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
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.
Author: Andrew Stuart
Publisher: Cambridge University Press
ISBN: 9780521645638
Category : Mathematics
Languages : en
Pages : 708
Get Book Here
Book Description
The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.
Author: Asen L. Dontchev
Publisher: Springer
ISBN: 149391037X
Category : Mathematics
Languages : en
Pages : 495
Get Book Here
Book Description
The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.
Author: R. James Purser
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 46
Get Book Here
Book Description
"This note describes two novel semi-implicit schemes, intended primarily for application to forward-trajectory semi-Lagrangian models."--p.[1]
