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

Location: B1 UB

Time: 16:00

Day: Friday 25th, October

Author: rAFael MArtínez, UB
TITLE: Strange non-chaotic attractors in quasiperiodically forced maps
Abstract

This talk offers an introduction to the theory of strange non-chaotic attractors in dynamical systems, with a focus on their significance as invariant sets that appear in a wide variety of models across physics, biology, and engineering. Strange attractors are key to understanding complex and non-chaotic behavior in systems driven by non-linear dynamics. In this presentation, we will delve into the properties and behavior of quasiperiodically forced maps of the form Fa,b,ω(x, θ), where x is real, θ is an angle, and ω is an irrational frequency that drives quasiperiodic motion. The family of maps depends on two positive real parameters, a and b, which shape the system’s response to external forcing. We will highlight the role of these parameters in governing the transition to a strange attractor and provide an overview of current results in the study of such systems. By examining specific examples, the talk will illustrate how strange attractors emerge and behave under quasiperiodic forcing.

Calendar