Juan Ramon Pacha Andujar

Juan Ramon Pacha Andujar is a Professor in the Department of Mathematics at the Universitat Politècnica de Catalunya (UPC), affiliated with the Higher Technical School of Industrial Engineering of Barcelona (ETSEIB). He is a core member of the UPCDS (Dynamical Systems Group) and has been involved in multiple research projects funded by national and regional agencies, including the Spanish Ministry of Science and the Catalan Government. His research focuses on dynamical systems, nonlinear dynamics, and Hamiltonian systems, with significant contributions to bifurcation theory, control systems, and mathematical physics.

Key research areas include the analysis of Hopf bifurcations in atomic systems under microwave fields, controllability of bimodal linear systems, and transversality of homoclinic orbits in Hamiltonian contexts. He has co-authored numerous indexed articles and book chapters, with recent work addressing robotic trajectory safety and invariant subspaces in finite fields.

Dr. Pacha has participated in interdisciplinary projects like 'Mecánica Celeste: métodos analíticos y numéricos y aplicaciones,' blending celestial mechanics with numerical methods. His work often intersects with applications in robotics and engineering, as evidenced by collaborations in projects such as 'Safe trajectory of a piece moved by a robot.'

He leads or co-leads several competitive research projects, including the UPCDS group's ongoing initiatives. His contributions span theoretical developments and applied research, with a focus on systems' stability, control, and bifurcation phenomena.