@misc{10498/35319, year = {2023}, url = {http://hdl.handle.net/10498/35319}, abstract = {We show that the solutions of the linearized damped extensible beam equation exhibit a chaotic or stable behavior that depends on the distribution of the physical parameters of the equation. Such dynamical behavior is achieved in Herzog-like spaces. Our results provide new insights into the damped extensible beam equation by finding a critical parameter whose sign determines such qualitative properties.}, publisher = {Elsevier}, keywords = {Stability}, keywords = {C0 -semigroups}, keywords = {Chaos}, keywords = {Damped extensible beam equation}, keywords = {Herzog spaces}, title = {On the dynamics of the Damped Extensible Beam 1D-equation}, doi = {10.1016/J.JMAA.2022.126954}, author = {Lizama, Carlos and Murillo Arcila, Marina}, }