44 research outputs found
A Connection Between an Exacltly Solvable Stochastic Optimal Control Problem and a Nonlinear Reaction Diffuison Equation
Hyperbolic angular statistics for globally coupled phase oscillators
We analytically discuss a multiplicative noise generalization of the
Kuramoto-Sakaguchi dynamics for an assembly of globally coupled phase
oscillators. In the mean field limit, the resulting class of invariant measures
coincides with a generalized, two parameter family of angular von Mises
probability distributions which is governed by the exit law from the unit disc
of a hyperbolic drifted Brownian motion. Our dynamics offers a simple yet
analytically tractable generalization of Kuramoto-Sakaguchi dynamics with two
control parameters. We derive an exact and very compact relation between the
two control parameters at the onset of phase oscillators synchronization.Comment: 8 page
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Constancy and change in marine predator diets across a shift in oceanographic conditions in the Northern California Current
Variable ocean conditions can greatly impact
prey assemblages and predator foraging in marine ecosystems.
Our goal was to better understand how a change in
ocean conditions influenced dietary niche overlap among
a suite of midtrophic-level predators. We examined the
diets of three fishes and one seabird off central Oregon
during two boreal summer upwelling periods with contrasting
El Niño (2010) and La Niña (2011) conditions.
We found greater niche specialization during El Niño and
increased niche overlap during La Niña in both the nekton
and micronekton diet components, especially in the larger,
more offshore predators. However, only the two smaller,
more nearshore predators exhibited interannual variation in
diet composition. Concurrent trawl surveys confirmed that
changes in components of predator diets reflected changes in the prey community. Using multiple predators across
diverse taxa and life histories provided a comprehensive
understanding of food-web dynamics during changing
ocean conditions