Logo

Perturbation Theory of Dynamical Systems

Small book cover: Perturbation Theory of Dynamical Systems

Perturbation Theory of Dynamical Systems
by

Publisher: arXiv
Number of pages: 111

Description:
These are lecture notes for a course given to undergraduate Mathematics and Physics students. It covers a few selected topics from perturbation theory at an introductory level. Only certain results are proved, and for some of the most important theorems, sketches of the proofs are provided.

Home page url

Download or read it online for free here:
Download link
(4.8MB, PDF)

Similar books

Book cover: Around the Boundary of Complex DynamicsAround the Boundary of Complex Dynamics
by - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
(6086 views)
Book cover: Local Theory of Holomorphic Foliations and Vector FieldsLocal Theory of Holomorphic Foliations and Vector Fields
by - arXiv
Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.
(9401 views)
Book cover: Mathematical Principles of Dynamic Systems and the Foundations of Quantum PhysicsMathematical Principles of Dynamic Systems and the Foundations of Quantum Physics
by - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(11089 views)
Book cover: Singularities of Transition Processes in Dynamical SystemsSingularities of Transition Processes in Dynamical Systems
by - American Mathematical Society
This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables.
(9519 views)