Statistics – Computation
Scientific paper
Jan 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999adspr..24..557s&link_type=abstract
Advances in Space Research, Volume 24, Issue 5, p. 557-560.
Statistics
Computation
3
Scientific paper
Choosing a simple oxygen-hydrogen model of the upper mesosphere, we study conditions necessary to create nonlinear effects like period doublings and chaos. The model is 1-dimensional and takes into account diffusion and diurnally periodic excitation by solar radiation. The air density decreasing with height acts as a control parameter. The computations show that the height range of nonlinear response of the model amounts to only few kilometres. We use the diffusion coefficient as a second control parameter and investigate what will happen if this parameter decreases or increases step by step. There also occur cascades of period doublings and chaos. Under the action of diffusion the height range of nonlinear response is enlarged and the bifurcation diagrams have the shape of onions. Strong diffusion prevents nonlinear effects. Considering the bifurcation diagram in constant height, it differs from that of the well-known pitchfork diagram. Implications of the results are discussed
Feigin A. M.
Sonnemann Gerd R.
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