Subharmonics, cascades of period doubling, and chaotic behavior of photochemistry of the mesopause region

Sonnemann, G. R.; Fichtelmann, Bernd

doi:10.1029/96jd02740

Cited by 40 publications

(43 citation statements)

References 35 publications

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“…As the original model we have used a model which is similar to that investigated by Fichtelmann and Sonnemann [1992] and Sonnemann and Fichtelmann [1997] and possesses a rich assortment of scenarios of dynamic behavior. We have suggested a general way to reduce the original model of an arbitrary atmospheric PCS to the essential model using a step-by-step procedure.…”

Section: Discussionmentioning

confidence: 99%

“…On the one hand, as mentioned above, the paper suggests a procedure of obtaining the essential dynamic model. As an example we use the photochemical dynamic model of the mesospheric PCS analogous to the model used by Fichtehnann and Sbnnemann [ 1992] and Sonnemann amt Fichtelmann [1997] (referred below as to FS and SF, respectively). The main advantage of this model is that it demonstrates a rich assortment of nontrivial dynamic regimes (FS, SF).…”

Section: Objectives Of the Papermentioning

confidence: 99%

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Toward an understanding of the nonlinear nature of atmospheric photochemistry: Essential dynamic model of the mesospheric photochemical system

Feǐgin¹,

Konovalov²,

Molkov³

1998

J. Geophys. Res.

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Abstract. We present the essential dynmnic model of the •nesospheric photochemical system (PCS) •'md suggest a step-by-step procedure for elaborating such a model of an arbitrary atmospheric PCS. The model demonstrates the same possibilities of nonlinear dynamic behavior and qualitatively the same dynamic characteristics as the corresponding original model, but is much simpler than the latter. We show the adequacy of the essential model compared with the original one in bifurcation diagrams, equilibrimn states, and such new characteristics as correlation dimension and minirotan embedding dimension of a chaotic attractor. The model can be used both for identi•ing and studying the mechanisms of the nonlinear dynmnic behavior of the mesaspheric PCS, as well as for solving a number of problems aimed at revealing nonlinear photochemical phenomena in the actual mesasphere.

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Section: Discussionmentioning

confidence: 99%

Section: Objectives Of the Papermentioning

confidence: 99%

Toward an understanding of the nonlinear nature of atmospheric photochemistry: Essential dynamic model of the mesospheric photochemical system

Feǐgin¹,

Konovalov²,

Molkov³

1998

J. Geophys. Res.

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“…Although the whole system is internally nonlinearly linked (Sonnemann and Fichtelmann, 1997;Feigin et al, 1998), the difference between the realistic case and the cases in which one impact on the trend is held constant should mirror, to first order, the separate influence of the respective impact. Thus, the direct photochemical effect (DPE) of Lyman-α (only due to photodissociation and successive chemical reactions, without taking into account the effect of modulation of the dynamics and temperature, and consecutive impact on chemical species) on minor chemical constituents in the MLT region is calculated as the difference of run A − run B.…”

Section: Introductionmentioning

confidence: 99%

Hydroxyl layer: trend of number density and intra-annual variability

et al. 2015

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Abstract. The layer of vibrationally excited hydroxyl (OH * ) near the mesopause in Earth's atmosphere is widely used to derive the temperature at this height and to observe dynamical processes such as gravity waves. The concentration of OH * is controlled by the product of atomic hydrogen, with ozone creating a layer of enhanced concentration in the mesopause region. However, the basic influences on the OH * layer are atomic oxygen and temperature. The long-term monitoring of this layer provides information on a changing atmosphere. It is important to know which proportion of a trend results from anthropogenic impacts on the atmosphere and which proportion reflects natural variations. In a previous paper (Grygalashvyly et al., 2014), the trend of the height of the layer and the trend in temperature were investigated particularly in midlatitudes on the basis of our coupled dynamic and chemical transport model LIMA (Leibniz Institute Middle Atmosphere). In this paper we consider the trend for the number density between the years 1961 and 2009 and analyze the reason of the trends on a global scale. Further, we consider intra-annual variations. Temperature and wind have the strongest impacts on the trend. Surprisingly, the increase in greenhouse gases (GHGs) has no clear influence on the chemistry of OH * . The main reason for this lies in the fact that, in the production term of OH * , if atomic hydrogen increases due to increasing humidity of the middle atmosphere by methane oxidation, ozone decreases. The maximum of the OH * layer is found in the mesopause region and is very variable. The mesopause region is a very intricate domain marked by changeable dynamics and strong gradients of all chemically active minor constituents determining the OH * chemistry. The OH * concentration responds, in part, very sensitively to small changes in these parameters.The cause for this behavior is given by nonlinear reactions of the photochemical system being a nonlinear enforced chemical oscillator driven by the diurnal-periodic solar insolation. At the height of the OH * layer the system operates in the vicinity of chemical resonance. The solar cycle is mirrored in the data, but the long-term behavior due to the trend in the Lyman-α radiation is very small. The number density shows distinct hemispheric differences. The calculated OH * values show sometimes a step around a certain year. We introduce a method to find out the date of this step and discuss a possible reason for such behavior.

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“…Several studies have derived eigenvalues and modes for the HO x -NO y -O 3 chemistry from near surface to the mesosphere. [34][35][36][37] An example of clean-air O 3 chemistry in summertime mid-latitudes at the surface is given in Table 1. Here a single 24-h day is integrated with [O 3 ] fixed for a reference case (O 3 ¼ 30 ppb, 1 ppb ¼ 1 nmol mol À1 ), and 24-h average rates are reported.…”

Section: Definitions and Derivationsmentioning

confidence: 99%

A perspective on time: loss frequencies, time scales and lifetimes

Prather

Holmes

2013

Environ. Chem.

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Environmental context. The need to describe the Earth's system or any of its components with a quantity that has units of time is ubiquitous. These quantities are used as metrics of the system to describe the response to a perturbation, the cumulative effect of an action or just the budget in terms of sources and sinks. Given a complex, non-linear system, there are many different ways to derive such quantities, and careful definitions are needed to avoid mistaken approximations while providing useful parameters describing the system. Abstract. Diagnostic quantities involving time include loss frequency, decay times or time scales and lifetimes. For the Earth's system or any of its components, all of these are calculated differently and have unique diagnostic properties. Local loss frequency is often assumed to be a simple, linear relationship between a species and its loss rate, but this fails in many important cases of atmospheric chemistry where reactions couple across species. Lifetimes, traditionally defined as total burden over loss rate, are mistaken for a time scale that describes the complete temporal behaviour of the system. Three examples here highlight: local loss frequencies with non-linear chemistry (tropospheric ozone); simple atmospheric chemistry with multiple reservoirs (methyl bromide) and fixed chemistry but evolving lifetimes (methyl chloroform). These are readily generalised to other biogeochemistry and Earth system models.

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Subharmonics, cascades of period doubling, and chaotic behavior of photochemistry of the mesopause region

Cited by 40 publications

References 35 publications

Toward an understanding of the nonlinear nature of atmospheric photochemistry: Essential dynamic model of the mesospheric photochemical system

Toward an understanding of the nonlinear nature of atmospheric photochemistry: Essential dynamic model of the mesospheric photochemical system

Hydroxyl layer: trend of number density and intra-annual variability

A perspective on time: loss frequencies, time scales and lifetimes

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