Suppression and creation of chaos in a periodically forced Lorenz system.
1995
Article
ei
Periodic forcing is introduced into the Lorenz model to study the effects of time-dependent forcing on the behavior of the system. Such a nonautonomous system stays dissipative and has a bounded attracting set which all trajectories finally enter. The possible kinds of attracting sets are restricted to periodic orbits and strange attractors. A large-scale survey of parameter space shows that periodic forcing has mainly three effects in the Lorenz system depending on the forcing frequency: (i) Fixed points are replaced by oscillations around them; (ii) resonant periodic orbits are created both in the stable and the chaotic region; (iii) chaos is created in the stable region near the resonance frequency and in periodic windows. A comparison to other studies shows that part of this behavior has been observed in simulations of higher truncations and real world experiments. Since very small modulations can already have a considerable effect, this suggests that periodic processes such as annual or diurnal cycles should not be omitted even in simple climate models.
Author(s): | Franz, MO. and Zhang, MH. |
Journal: | Physical Review |
Volume: | E 52 |
Pages: | 3558-3565 |
Year: | 1995 |
Day: | 0 |
Department(s): | Empirical Inference |
Bibtex Type: | Article (article) |
Digital: | 0 |
Organization: | Max-Planck-Gesellschaft |
School: | Biologische Kybernetik |
BibTex @article{623, title = {Suppression and creation of chaos in a periodically forced Lorenz system.}, author = {Franz, MO. and Zhang, MH.}, journal = {Physical Review}, volume = {E 52}, pages = {3558-3565}, organization = {Max-Planck-Gesellschaft}, school = {Biologische Kybernetik}, year = {1995}, doi = {} } |