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Material Cycling and the Stability of Ecosystems
The American Naturalist, 1994info:eu-repo/semantics ...
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Stability and Positivity of Cycles
2019We use Bridgeland stability conditions to study restrictions of stable vector bundles on projective varieties. We also study positivity properties of classical moduli spaces of sheaves, particularly Hilbert schemes of points. Positivity of cycles on blow-ups of Grassmannians is discussed in the second half.
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Stabilization of metapopulation cycles: Toward a classification scheme
Theoretical Population Biology, 2008The stability of population oscillations in ecological systems is considered. Experiments suggest that in many cases the single patch dynamics of predator-prey or host-parasite systems is extinction prone, and stability is achieved only when the spatial structure of the population is expressed via desynchronization between patches.
Abta, Refael +3 more
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Nonconnected heterodimensional cycles: bifurcation and stability
Nonlinearity, 1992Consider one-parameter families of diffeomorphisms of a smooth closed \(n\)-manifold for \(n\geq 3\). Two hyperbolic periodic points \(P_ t\), \(Q_ t\) are followed through the parameter interval where the 2-dimensional unstable manifold \(W^ u(Q_ t)\) intersects the \((n-1)\)-dimensional stable manifold \(W^ s(P_ t)\). If \(W^ s(Q_ b)\cap W^ u(P_ b)\)
Diaz, Lorenzo J., Rocha, Jorge
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Stability of limit cycles in hybrid systems
Proceedings of the 34th Annual Hawaii International Conference on System Sciences, 2005Limit cycles are common in hybrid systems. However the nonsmooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers.
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On learning and the stability of cycles
1995We study a general equilibrium model where the multiplicity of stationary periodic perfect foresight equilibria is pervasive. We investigate the extent of which agents can learn to coordinate on stationary perfect foresight cycles. The example economy, taken from Grandmont (1985), is an endowment overlapping generations model with fiat money, where ...
James B. Bullard, John Duffy
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Ecosystem Stability, Competition, and Nutrient Cycling
1994During the 1960s and 1970s ecologists paid much attention to the relationship between diversity and stability of ecosystems. It was generally believed that ecosystems that harbored many species were more stable than comparatively species-poor ecosystems (MacArthur 1955; Elton 1958; Van Leeuwen 1966; Margalef 1968).
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2006
Economic variables like GDP growth, employment, interest rates and consumption show signs of cyclical behavior. Many variables display multiple cycles, with lengths ranging in between 5 to even up to 100 years. We argue that multiple cycles can be associated with long-run stability of the economic system, provided that the cycle lengths are such that ...
de Groot, E.A., Franses, Ph.H.B.F.
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Economic variables like GDP growth, employment, interest rates and consumption show signs of cyclical behavior. Many variables display multiple cycles, with lengths ranging in between 5 to even up to 100 years. We argue that multiple cycles can be associated with long-run stability of the economic system, provided that the cycle lengths are such that ...
de Groot, E.A., Franses, Ph.H.B.F.
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Oscillations, stability and stabilization in the model containing coupled subsystems with cycles
Automation and Remote Control, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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