• openAccess   Chaotic semigroups from second order partial differential equations 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina Elsevier (2017-12)
      We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution Co-semigroup corresponding to a class of second-order partial differential equations. We also provide a critical ...
    • openAccess   Dynamics of multivalued linear operators 

      Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; murillo arcila, marina De Gruyter Open (2017)
      We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. ...
    • openAccess   Linear dynamics of semigroups generated by differential operators 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina; Peris, A. De Gruyter (2017)
      During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ...
    • openAccess   On the existence of chaos for the viscous van Wijngaarden–Eringen equation 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina Elsevier (2016-08)
      We study the viscous van Wijngaarden–Eringen equation: which corresponds to the linearized version of the equation that models the acoustic planar propagation in bubbly liquids. We show the existence of an explicit range, ...