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arXiv · 1310.3987

Chaos in computing the environmental interface temperature: nonlinear dynamic and complexity analysis of solutions

Gordan Mimić·Dragutin T. Mihailović·Mirko Budinčević
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Abstract

We consider an environmental interface regarding as a complex system, in which difference equations for calculating the environmental interface temperature and deeper soil layer temperature are represented by the coupled maps. First equation has its background in the energy balance equation while the second one in the prognostic equation for deeper soil layer temperature, commonly used in land surface parameterization schemes. Nonlinear dynamical consideration of this coupled system includes: (i) examination of period one fixed point and (ii) bifurcation analysis. Focusing part of analysis is calculation of the Lyapunov exponent for a specific range of values of system parameters and discussion about domain of stability for this coupled system. Finally, we calculate Kolmogorov complexity of time series generated from the coupled system.

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Gordan Mimić, Dragutin T. Mihailović, Mirko Budinčević. 2013-10-15. Chaos in computing the environmental interface temperature: nonlinear dynamic and complexity analysis of solutions. https://doi.org/10.1142/s021798491350190x

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