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Dynamical Systems
Author:
George D. Birkhoff
Language:

| Contents: Physical aspects of dynamical systems; Variational principles and applications; Formal aspects of dynamics; Stability of periodic motions; Existence of periodic motions; Application of P . . . . . |
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Ordinary Differential Equations and Dynamical Systems
Author:
Gerald Teschl
Language:

This manuscript provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental re . . . . . |
Dynamical systems
Author:
Shlomo Sternberg
Language:

Contents: Iterations and fixed points; Bifurcations; Conjugacy; Space and time averages; The contraction fixed point theorem; Hutchinson’s theorem and fractal images; Hyperbolicity; Sy . . . . . |
These notes study the dynamics of iterated holomorphic mappings
Author:
J. Milnor
Language:

These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. They are based on introduc . . . . . |
Monotone Dynamical Systems
Author:
M.W. Hirsch; Hal Smith
Language:

Contents: Strongly Order-Preserving Semi
ows; Generic Convergence and Stability; Ordinary Dierential Equations; Delay Dierential Equations; Monotone Maps; Semilinear Parabolic Equations; |
Dynamical Systems
Author:
Oliver Knill
Language:

Contents: Introduction; Feigenbaum: maps in one dimensions; Henon: maps in two dimensions; Hilbert: Differential equations in two dimensions; Lorentz: ODEs in higher dimensions; Birkhof: billiards; He . . . . . |
Ergodic optimization, zero temperature limits and the max-plus algebra
Author:
A. T. Baraviera, R. Leplaideur, A. O. Lopes
Language:

Lecture notes of a course at the Brazilian Mathematical Colloquium. We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-pl . . . . . |
An Introduction To Small Divisors
Author:
S. Marmi
Language:

This is an introduction to small divisors problems. The material treated in this book was brought together for a PhD course I tought at the University of Pisa in the spring of 1999. Here is a Table of . . . . . |
Lectures on Mechanics, Dynamics, and Symmetry
Author:
Professor Jerrold E. Marsden
Language:

Contens: Reduction for Mechanical Systems with Symmetry; Stability, Underwater Vehicle Dynamics and Phases; Systems with Rolling Constraints and Locomotion; Optimal Control and Stabilization of Balanc . . . . . |
The Lyapunov Characteristic Exponents and their computation Authors:
Author:
Charalampos Skokos
Language:

We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for dynamical systems, as well as of the numerical techniques developed for the computation of the maximal, of few . . . . . |
Around the boundary of complex dynamics
Author:
Roland K. W. Roeder
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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 a . . . . . |
From Deterministic Chaos to Deterministic Diffusion
Author:
R. Klages (Queen Mary, University of London)
Language:

This is a set of easy-to-read lecture notes for a short first-year Ph.D. student course on Applied Dynamical Systems, which was given at the London Taught Course Centre in Spring 2008. The notes cover . . . . . |
Sistemi dinamici
Author:
Prof. Emiliani
Language:

Un libro molto ben fatto e chiaro sui Sistemi Dinamici, vengono trattati sistemni lineari,sistemi a vari gradi di libertà, integrabili non, equazioni differenziali dipendenti dal tempo, caos. |
Introduzione ai sistemi dinamici
Author:
Guido Gentile
Language:

Un libro di 394 pagine tratta di: equazioni differenziali lineari, analisi qualitativa e alcune applicazioni, sistemi dinamici. |
Perturbation theory of dynamical systems
Author:
Nils Berglund
Language:

This text is a slightly edited version of lecture notes for a course given at ETH, during the Summer term 2001, to undergraduate Mathematics and Physics students. It covers a few selected topics from . . . . . |
Geometrical theory of dynamical systems
Author:
Nils Berglund
Language:

This text is a slightly edited version of lecture notes for a course given at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students.Contents:Chapter 1 - Examples of . . . . . |
Dynamical Systems and Fractals Lecture Notes
Author:
David J. Wright
Language:

Contents: Introduction to Dynamical Systems; Computational aids; L-systems; Tilings as Dynamical Systems; Dynamical Systems and Fractal Basics; Iterated Function Systems; Interval Self-mappings; Compl . . . . . |
Nonlinear Dynamics
Author:
Marc R. Roussel
Language:

Contents: Definition and examples of dynamical systems; Introduction to phase-plane analysis; Stability analysis for ODEs; Introduction to bifurcations; Bifurcation analysis using AUTO; Invariant mani . . . . . |