The emergence of regular behavior is one of the most studied topics in nonlinear dynamical systems.
The emergence of regular behavior is one of the most studied topics in nonlinear dynamical systems. It is known that by the changing of an accessible parameter of a chaotic system, chaos can be replaced by a stable periodic behavior. In this talk, I will review some recent results which accounts to clarifying what are the general conditions under which one can surely replace chaos into stable periodic behavior (or vice-versa) by a parameter alteration. In particular, I show that for systems that possess k positive Lyapunov exponents, one can always find stable periodic behavior by altering simultaneously k control parameters. This theoretical result, is a consequence of the fact that the parameter values for which stable periodic behavior appears in nonlinear systems can be written in terms of a function with particular topological properties. Then, I will describe a recent experiment realized to verify such a theoretical result.

Date and Venue

Start Date
Venue
Anfiteatro 0.03

Speaker

Murilo Baptista

Area

Dynamical Systems