scholarly journals Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples

2013 ◽  
Vol 25 (4) ◽  
pp. 925-958 ◽  
Author(s):  
Henk W. Broer ◽  
Tasso J. Kaper ◽  
Martin Krupa
Keyword(s):  
Cusp Singularity

scholarly journals Around the Cusp Singularity and the Breaking of Waves

Leonardo ◽  
2014 ◽  
Vol 47 (1) ◽  
pp. 80-82 ◽  
Author(s):  
J. Tejerina-Risso ◽  
P. Le Gal
Keyword(s):  
Surface Waves ◽  
Water Waves ◽  
General Property ◽  
Water Surface ◽  
Video Camera ◽  
Slow Speed ◽  
Science Project ◽  
Cusp Singularity ◽  
Wave Maker

WAVES is an “Art-Science” project on water surface waves. The authors aim to visualize the behaviour of water waves during their evolution: generation, focusing and breaking. Relying on the general property of waves to focus when properly generated or reflected, the authors use a parabolically shaped wave maker to focus water waves in a region of the water surface called the Huygens cusp in optics and then record these breakings using a fast video camera. A novel and spectacular vision of wave breakings is obtained when playing at slow speed.

scholarly journals Analysis of a slow–fast system near a cusp singularity

2016 ◽  
Vol 260 (4) ◽  
pp. 3785-3843 ◽  
Author(s):  
H. Jardón-Kojakhmetov ◽  
Henk W. Broer ◽  
R. Roussarie
Keyword(s):  
Fast System ◽  
Cusp Singularity
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