Research

Non-linear physics

Interests

  • Theoretical Physics: Non-linear physics
  • Dynamical systems
  • Dissipative and conservative solitons
  • Pattern formation
  • Generation of complexity

My actual students

Alicia Castro

Alicia Castro

Master Student

Burbujas fluxónicas bidimensionales bajo fuerzas espacio-temporales
Instituto de Física, Pontificia Universidad Católica de Valparaíso.
Francisco Pacheco

Francisco Pacheco

Undergraduate Student

Rafael Riveros

Rafael Riveros

Master Student

Elram Figueroa

Elram Figueroa

Ph.D Student

Former Students

Juan F. Marin

Juan Marín

Ph.D Graduate

Localised structures and pattern formation in heterogenous nonlinear systems
Instituto de Física, Pontificia Universidad Católica de Valparaíso (2018)

Visita su pagina

Fernando Mellado Humire

Fernando Mellado

Ph.D Graduate

Milena Paez

Milena Páez

Master Graduate

Characterization of Faraday pattern bifurcation subject to a heterogenous localized injection
Instituto de Física, Pontificia Universidad Católica de Valparaíso (2019)

alicia castro

Hector Ramos

Master Student

Ondas de Faraday con inyección localizada en una celda cuasi-unidimensional
Instituto de Física, Pontificia Universidad Católica de Valparaíso (2016)

Alicia Castro

Alicia Castro

Undergraduate Student

alicia castro

Tomas Frias

Undergraduate Student

Estudio numérico de estabilidad de solitones en un sistema paramétrico inhomogéneo

David Valero

David Valero

Undergraduate Student

Research Projects

  • Fondecyt Regular Project

    Dynamical phenomena induced by spatial heterogeneities in out-of-equilibrium systems (Nº 1201434), founded by Fondecyt-Chile

    For many nonlinear dissipative systems, theoretical methods have been developed under ideal considerations as, uniform and homogeneous injection, non-boundary conditions, infinite systems, to mention a few. In the nonlinear regime, away from the bifurcation, numerical simulations allow grasping the dynamics under real conditions as boundaries effects, the presence of defects, and heterogeneous media. Propagation failure of fronts, oscillations, dissipation-driven behavior in finite systems, nucleation of stable structures, and chaotic behavior are examples of effects in systems under non-ideal conditions. The main goal of the present work is to study theoretically, numerically, and experimentally the dynamical behavior of nonlinear out-of-equilibrium systems in heterogeneous media. In particular, aim to explore two main questions, robust Rabi oscillations in dissipative out-of equilibrium systems and Faraday waves dynamics on a periodic localized substrate.

    The theoretical and numerical studies focus on a well known but yet not fully explored amplitude equation model under heterogeneous spatial conditions (PDNLS). We expect to broaden the knowledge on out-of-equilibrium systems through the theoretical description on the onset of new instabilities caused by spatial heterogeneities. This is combined with a low-cost, versatile experiment where dynamical exploration on pattern formation and localized structures under non-uniform conditions can be studied. We propose modifications and technical improvements on the setup, which will bring us the opportunity to mimics physical conditions on a controlled but still out-of-equilibrium environment.