Our group investigates different notions of dynamics (mainly, notions of chaos) for
operators and semigroups of operators on spaces of infinite dimension. Precisely, we work on:
(1) Dynamics of C_0-semigroups and applications,
(2) Dynamics of fractional differential (difference) equations,
(3) Li-Yorke chaos and distributional chaos,
(4) Lineability, algebrability and spaceability,
(5) Recurrence in the dynamics of operators,
(6) Dynamics of m-isometries,
(7) Topological and mesure-theoretic properties in linear dynamics,
(8) Numerical simulation and analysis of the dynamics of linear models.
Foreign members: Nilson Bernardes, Juan Bes, Karl Grosse-Erdmann, Carlos Lizama and Piotr Oprocha.
External Collaborators | University |
Bermúdez de León, Teresa | Universidad de la Laguna, Spain |
Bonilla Ramírez, Antonio | Universidad de la Laguna, Spain |
Murillo Arcila, Marina | Universitat Jaume I, Spain |
Research lines
–Li-Yorke chaos, distributional chaos, and recurrence properties
–Lineability, algebrability and spaceability
–Topological and measure-theoretic properties in linear dynamics, and non-linear dynamics
–Semigroup theory and fractional calculus applied to PDE’s