The Damped Harmonic Oscillator at the Classical Limit of the Snyder-de Sitter Space

Valtancoli in his paper entitled (P. Valtancoli, Canonical transformations and minimal length, J. Math. Phys. 56, 122107 2015) has shown how the deformation of canonical can be made compatible with deformed Poisson brackets. Based on this work through an appropriate transformation, we solve problem one dimensional (1D) damped harmonic oscillator at classical limit Snyder-de Sitter (SdS) space. We show that equations motion described by trigonometric functions frequency period depending parameters. eventually discuss influences these parameters system.