|Statement||edited by J. M. Ball.|
|Contributions||Ball, J. M. 1948-, Hale, J. K.|
|LC Classifications||QA372 .N485 1991|
|The Physical Object|
|Pagination||x, 630 p. :|
|Number of Pages||630|
Chapter Discrete dynamical systems § The logistic equation § Fixed and periodic points § Linear diﬀerence equations § Local behavior near ﬁxed points Chapter Discrete dynamical systems in one dimension § Period doubling § Sarkovskii’s theorem § On the deﬁnition of chaos New directions in differential equations and dynamical systems: a collection of papers dedicated to J.K. Hale on the occasion of his 60th birthday Author: J M Ball ; Jack K Hale. Abstract. This book provides an introduction to ordinary di erential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on File Size: 3MB. This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.5/5(1).
Dynamical Systems & Differential Equations. Featured journals see all. Advances in Difference Equations. Differential Equations. Featured books see all. Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales. Adivar, M. (et al.) () Featured book series see all. Differential-Algebraic Equations Forum. solutions of differential equations and view the results graphically are widely available. As a consequence, the analysis of nonlinear systems of differential equations is much more accessible than it once was. The discovery of com-plicated dynamical systems, File Size: KB. Geometrically, the dynamical system describes the motion of the points in phase space along the solution curves defined by the system of differential equations. The function f (x) = Ax on the right-hand side of (1) defines a mapping f: R2 --' R2 (linear in this case). First-Order Diﬀerential Equations and Their Applications INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS There are no exercises in this section. DEFINITE INTEGRAL AND THE INITIAL VALUE PROBLEM Substitute expression for x into the diﬀerential equation File Size: 5MB.
Buy used On clicking this link, a new layer will be open. $ On clicking this link, a new layer will be open. Book Condition: Light rubbing wear to cover, spine and page edges. Very minimal writing or notations in margins not affecting the text. Possible clean ex-library copy, with their stickers and or Cited by: The book is aimed at courses in dynamics, dynamical systems and differential equations and dynamical systems for advanced undergraduates and graduate students. Applications in physics, engineering and biology are considered and introduction to . Periodic Sturm-Liouville equations; Part 2: Dynamical systems; Dynamical systems Dynamical systems; The flow of an autonomous equation; Orbits and invariant sets; The Poincaré map; Stability of fixed points; Stability via Liapunov's method; Newton's equation in one dimension; Planar dynamical systems Examples from ecology; Examples from electrical engineering; The Poincaré-Bendixson . This book presents a modern treatment of material traditionally covered in the sophomore-level course in ordinary differential equations. While this course is usually required for engineering students the material is attractive to students in any field of applied science, including those in 1/5(2).