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  Suppression and creation of chaos in a periodically forced Lorenz system.

Franz, M., & Zhag, M. (1995). Suppression and creation of chaos in a periodically forced Lorenz system. Physical Review E, 52(4), 3558-3565. doi:10.1103/physreve.52.3558.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-ECE2-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-F58A-B
Genre: Journal Article

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Franz, MO1, Author              
Zhag, M, Author
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1External Organizations, ou_persistent22              

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 Abstract: 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.

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 Dates: 1995-10
 Publication Status: Published in print
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 Identifiers: BibTex Citekey: 623
DOI: 10.1103/physreve.52.3558
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 52 (4) Sequence Number: - Start / End Page: 3558 - 3565 Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012