Journal ArticleDOI
Dissipative systems: Implications for geomorphology
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In this article, it is suggested that geomorphological systems containing bifurcations will have both deterministic (universal and necessary) and probabilistic (historical happenstance) elements; they will have more than one solution (configuration) and this fact calls into question notions of process domains leading to the development of characteristic forms; and they will possess varying degrees of susceptibility to change induced by fluctuations.Abstract:
A recent revolution in the study of nonlinear dynamical systems in the physical sciences has shown the worth of regarding systems as dissipative. The nature of dissipative systems in the physical sciences is briefly described by reference to process equations, bifurcations, and fluctuations. Some speculations are then made concerning the implications of dissipative system theory for geomorphology. It is suggested that geomorphological systems containing bifurcations will have both deterministic (universal and necessary) and probabilistic (historical happenstance) elements; they will have more than one solution (configuration) and this fact calls into question notions of process domains leading to the development of characteristic forms; they will possess varying degrees of susceptibility to change induced by fluctuations; and they will respond differently to local, regional, and global fluctuations. Kf,Y WORDS Bifurcation Catastrophe Cataclysm Dissipative system Geomorphological systems Thresholdsread more
Citations
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A coupled channel network growth and hillslope evolution model: 1. Theory
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Reciprocal interactions and adjustments between fluvial landforms and vegetation dynamics in river corridors: A review of complementary approaches
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Sources of nonlinearity and complexity in geomorphic systems
TL;DR: It is clear that no nonlinear formalism (and, as of yet, no other formalism) provides a universal meta-explanation for geomorphology, and methods and theories based on or grounded in complex nonlinear dynamics are useful to geomorphologists.
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Large-scale geomorphology: Classical concepts reconciled and integrated with contemporary ideas via a surface processes model
Henk Kooi,Christopher Beaumont +1 more
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A Physical Basis for Drainage Density
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References
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