Quantifying interactions in nonlinear feedback dynamics: a time series analysis. (English) Zbl 1415.39010
Summary: In this paper, we further study the dynamics of the Kyrtsou model composed of heterogeneous nonlinear feedback rules. For various levels and types of underlying nonlinearity, we analyze the resulting time series by means of the largest Lyapunov exponent. Our results highlight that the observed interaction among feedback mechanisms cannot lead to a univocal interpretation of system complexity.
MSC:
| 39A30 | Stability theory for difference equations |
| 37M10 | Time series analysis of dynamical systems |
Keywords:
nonlinear time series analysis; interaction; feedback dynamics; largest Lyapunov exponent; dynamic instabilitySoftware:
ChaostestReferences:
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