Introduction

This seminar is organized by a group of PhD students in Dynamical Systems from the Barcelona Area.

We organize two different type of activities:

  • Presentation talks: we invite the different members of the Chaotic Seminar group to give an informal presentation about their actual line of research

  • Courses: consist on a collection of lectures which are imparted by the members of the Chaotic Seminar.

The lectures are public and everyone interested is very welcome.

Current Talk

HYPERBOLICITY

Location: IMUB – B2 ROOM

Time: 11:45 – 13:00

Duration: 5-12-19 of March || 9-16 of April

  1. HYPERBOLICITY AND PERSISTENCY
    • The notion of a dynamical system
    • Hyperbolic sets
    • Stable and unstable manifolds
    • Persistence of hyperbolicity
    • Inclination lemma

  2. TOPOLOGICAL DYNAMICS [notes]
    • Limit sets/ Non-wandering sets
    • Topological transitivity/mixing
    • Topological entropy

  3. HYPERBOLIC DYNAMICS [notes][notes]
    • Anosov diffeomorphisms
    • Horseshoe maps and transverse homoclinic points
    • Axiom A and Structural stability

  4. LYAPUNOV EXPONENTS
    • Lyapunov exponents and their basic properties
    • The Lyapunov and Perron regularity coefficients
    • Lyapunov exponents for linear differential equations
    • Stability of solutions of ordinary differential equations

Calendar