منابع مشابه
Showcase 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 ...
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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 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...
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ژورنال
عنوان ژورنال: Monthly Weather Review
سال: 1928
ISSN: 0027-0644,1520-0493
DOI: 10.1175/1520-0493(1928)56<499a:bmaas>2.0.co;2