%0 Journal Article %A Lizama, Carlos %A Murillo Arcila, Marina %T On the dynamics of the Damped Extensible Beam 1D-equation %D 2023 %@ 1096-0813 %U http://hdl.handle.net/10498/35319 %X 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. %K Stability %K C0 -semigroups %K Chaos %K Damped extensible beam equation %K Herzog spaces %~ Universidad de Cádiz