Journal ArticleDOI
Topological bifurcation for the double cusp polynomial
A. N. Godwin
- Vol. 77, Iss: 2, pp 293-312
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The article was published on 1975-03-01. It has received 6 citations till now. The article focuses on the topics: Saddle-node bifurcation & Bifurcation diagram.read more
Citations
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Coupled catastrophes: sudden shifts cascade and hop among interdependent systems
TL;DR: It is found that although protests tend to spread locally, they also seem to ‘hop' over countries, like in the stylized model; this result highlights a new class of temporal motifs in longitudinal network datasets.
Journal ArticleDOI
Coupled catastrophes: sudden shifts cascade and hop among interdependent systems
TL;DR: In this paper, the authors study how sudden changes can propagate among coupled systems and find that although protests tend to spread locally, they also seem to "hop" over countries, like in the stylized model, highlighting a new class of temporal motifs in longitudinal network datasets.
Journal ArticleDOI
A classification of phase diagrams by means of “Elementary” Catastrophe Theory (ECT) II
TL;DR: In this article, the qualitative local shapes (QLS) of phase diagrams are defined in terms of diffeomorphisms, and a criterion for GM stability of C∞ unfoldings is derived.
Journal ArticleDOI
Phase transitions with several order parameters
TL;DR: In this paper, the predictions of catastrophe theory for phase transitions involving more than one order parameter are compared with those of other theories for the simplest transition involving two order parameters, and it is found that there is a parameter which does not affect the topology of the phase diagram, which does affect certain angles in the diagram, and whose measured value will not depend on the scale of external physical variables.
References
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Book
Algebraic curves
TL;DR: A linear transformation with rational maps riemann sphere is presented in this article, where the presentation is kept as elementary as A linear transformations with rational map Riemann spheres the converse is where sense.
Book
Differential Equations: Geometric Theory
TL;DR: Bargaining with reading habit is no need as mentioned in this paper, reading is not kind of something sold that you can take or not, it is a thing that will change your life to life better.