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• W2017324313 abstract "Geomorphic systems typically exhibit complex, apparently random behaviors and patterns in both spatial and temporal domains. This complexity can arise from the cumulative impacts of individual process-response mechanisms which are far too numerous to be accounted for in individual detail, or due to multiple controls over process-response relationships which operate over a range of spatial and temporal scales (stochastic complexity). Nonlinear dynamical systems (NDS) theory—which includes specific techniques and concepts such as chaos, dissipative structures, bifurcation and catastrophe theory, and fractals—shows that extreme complexity can also arise due to the nonlinear dynamics and couplings of relatively simple systems represented by relatively small equation systems (deterministic complexity). While emphasis in earth science has been largely on stochastic complexity, geomorphologists have long recognized the presence of deterministic complexity as well. Recent developments in the study of nonlinear dynamical systems have implications for the ability to make reliable long-term predictions and therefore applications of NDS in geomorphology may be revolutionary to some extent. However, virtually all the basic conceptual underpinnings of NDS theory can be mapped onto existing and even traditional theoretical concepts in geomorphology. In this sense, the use of NDS concepts in understanding earth surface processes and landforms is evolutionary. The link between traditional and NDS-based concepts is illustrated by analyzing a generalized geomorphic mass-flux system. It is shown that the system is in most cases unstable (consistent with chaos or deterministic complexity). However, the three attractor states of the system correspond exactly to the states of aggradation, degradation, and steady state." @default.
• W2017324313 created "2016-06-24" @default.
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• W2017324313 date "1992-08-01" @default.
• W2017324313 modified "2023-10-01" @default.
• W2017324313 title "Nonlinear dynamical systems in geomorphology: revolution or evolution?" @default.
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• W2017324313 doi "https://doi.org/10.1016/0169-555x(92)90005-9" @default.
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