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 . . . . .

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 from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. They are based on introduc . . . . .

Contents: Strongly Order-Preserving Semi ows; Generic Convergence and Stability; Ordinary Dierential Equations; Delay Dierential Equations; Monotone Maps; Semilinear Parabolic Equations;

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 . . . . .

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 . . . . .

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 . . . . .

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 . . . . .

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 . . . . .

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 . . . . .

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 . . . . .

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.

Un libro di 394 pagine tratta di: equazioni differenziali lineari, analisi qualitativa e alcune applicazioni, sistemi dinamici.

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 . . . . .

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 . . . . .

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 . . . . .

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 . . . . .