https://doi.org/10.1140/epjd/e2009-00245-y
Chaos in free electron laser oscillators
1
LAL, Université Paris-Sud 11, UMR 8607, Bâtiment 200, 91898 Orsay Cedex, France
2
Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin – BP 48, 91192 Gif-sur-Yvette Cedex, France
3
CEA/DSM/DRECAM/SPAM, Bât. 522, 91191 Gif-sur-Yvette, France
4
ENEA, C.R. Frascati FIM-FISACC, Via E. Fermi 45, 00044 Frascati, Italy
Corresponding author: a bruni@lal.in2p3.fr
Received:
19
December
2008
Revised:
23
June
2009
Published online:
12
September
2009
The chaotic nature of a storage-ring free electron laser (FEL) is investigated. The derivation of a low embedding dimension for the dynamics allows the low-dimensionality of this complex system to be observed, whereas its unpredictability is demonstrated, in some ranges of parameters, by a positive Lyapounov exponent. The route to chaos is then explored by tuning a single control parameter, and a period-doubling cascade is evidenced, as well as intermittence.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 82.40.Bj – Oscillations, chaos, and bifurcations / 05.45.Pq – Numerical simulations of chaotic systems / 41.60.Cr – Free-electron lasers
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
