36 citations · 42 across the 4 of their papers we have counts for
4 papers
Formal first integrals and higher variational equations
Sergi Simon
The question of how Algebra can be used to solve dynamical systems and characterize chaos was first posed in a fertile mathematical context by Ziglin, Morales, Ramis and Simó using…
Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian
Sergi Simon
This is an example of application of Ziglin-Morales-Ramis algebraic studies in Hamiltonian integrability, more specifically the result by Morales, Ramis and Simó on higher-order va…
Linearised Higher Variational Equations
Sergi Simon
This work explores the tensor and combinatorial constructs underlying the linearised higher-order variational equations of a generic autonomous system along a particular solution.…
Swinging Atwood's Machine: Experimental and Theoretical Studies
Olivier Pujol, José-Philippe Pérez, Jean-Pierre Ramis +3
A Swinging Atwood Machine (SAM) is built and some experimental results concerning its dynamic behaviour are presented. Experiments clearly show that pulleys play a role in the moti…