Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel
Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel
The nonlinear dynamical behavior of an atmospheric circulation in a beta-plane channel is examined on a five-spectral mode model, truncated from the Charney and DeVore quasi-geostrophic equation. Bifurcation and chaos are observed when subjected to a topographic driving disturbance and a thermally driving zonal source. An equilibrium state undergoes supercritical Hopf bifurcation and becomes a stable periodic state with respect to the magnitude of the thermally driving source, whereas the periodic state undergoes a subcritical Hopf bifurcation and transforms into a low-index equilibrium state with respect to the increasing topographic driving disturbance. The stable periodic state further develops into a pair of stable periodic states when increasing the thermally driving source. The first one with the period of 4.3 days exhibits an oscillation of strong and weak zonal flow patterns, whereas the second one with the period of 6.8 days demonstrates a fluctuation amongst weak zonal disturbance flow patterns. Moreover, the two periodic states transform respectively into chaos through separate period-doubling cascades with the further development of the thermally driving source.
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Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
15 July 2016
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Zhi-Min
(2016)
Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel.
International Journal of Bifurcation and Chaos, 26 (8), .
(doi:10.1142/S0218127416300202).
Abstract
The nonlinear dynamical behavior of an atmospheric circulation in a beta-plane channel is examined on a five-spectral mode model, truncated from the Charney and DeVore quasi-geostrophic equation. Bifurcation and chaos are observed when subjected to a topographic driving disturbance and a thermally driving zonal source. An equilibrium state undergoes supercritical Hopf bifurcation and becomes a stable periodic state with respect to the magnitude of the thermally driving source, whereas the periodic state undergoes a subcritical Hopf bifurcation and transforms into a low-index equilibrium state with respect to the increasing topographic driving disturbance. The stable periodic state further develops into a pair of stable periodic states when increasing the thermally driving source. The first one with the period of 4.3 days exhibits an oscillation of strong and weak zonal flow patterns, whereas the second one with the period of 6.8 days demonstrates a fluctuation amongst weak zonal disturbance flow patterns. Moreover, the two periodic states transform respectively into chaos through separate period-doubling cascades with the further development of the thermally driving source.
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Submitted date: 23 October 2015
Accepted/In Press date: 10 March 2016
Published date: 15 July 2016
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 401688
URI: http://eprints.soton.ac.uk/id/eprint/401688
ISSN: 0218-1274
PURE UUID: b237f7d5-a58d-4ab5-8ff8-321e60ea0613
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Date deposited: 19 Oct 2016 13:52
Last modified: 15 Mar 2024 02:52
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Author:
Zhi-Min Chen
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