منابع مشابه
Blue-sky Catastrophe in Singularly Perturbed Systems
We show that the blue-sky catastrophe, which creates a stable periodic orbit of unboundedly increasing length, is a typical phenomenon for singularly perturbed (multi-scale) systems with at least two fast variables. Three distinct mechanisms of this bifurcation are described. We argue that it is behind the transition from periodic spiking to periodic bursting oscillations. 2000 Math. Subj. Clas...
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We study a continuous and reversible transition between periodic tonic spiking and bursting activities in a neuron model. It is described as the blue-sky catastrophe, which is a homoclinic bifurcation of a saddle-node periodic orbit of codimension one. This transition constitutes a biophysically plausible mechanism for the regulation of burst duration that increases with no bound like 1/square ...
متن کاملShowcase of Blue Sky Catastrophes
Let a system of differential equations possess a saddle-node periodic orbit such that every orbit in its unstable manifold is homoclinic, i.e. the unstable manifold is a subset of the (global) stable manifold. We study several bifurcation cases where the splitting of such a homoclinic connection causes the Blue Sky Catastrophe, including the onset of complex dynamics. The birth of an invariant ...
متن کاملBlue-Sky and Down-to-Earth
We discuss how traditional methods for understanding design requirements are leveraged to produce innovative and fundamentally new perspectives when using analogy. We call these analogous practice approaches, and illustrate two cases that both use analogy to achieve exploratory design with ethnography, by gathering data from a different setting than we intend to design for. We discuss how the u...
متن کاملBlue Sky Detection for Picture Quality Enhancement
Content analysis of video and still images is attractive for multiple reasons, such as enabling content-based actions and image manipulation. This paper presents a new algorithm and feature model for blue-sky detection. The algorithm classifies the sky areas by computing a pixel-accurate sky probability. Such a probabilistic measure matches well with the requirements of typical video enhancemen...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2007
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.1889