Work

Bifurcations of symmetrical caustics: the creation-annihilation of two symmetric butterflies

Year: 2000

Type: article

Abstract: The problem of the bifurcations of symmetrical singularities is attacked in the case of the most simple symmetry. We show that the Lagrangian singularities invariant through the mirror symmetry may undergo two types of bifurcations involving butterflies. In both cases, a pair of symmetric butterflies is created or disappears. In addition, we give a concrete application of our results in the domain of geometrical optics.

Source: Journal of Physics A Mathematical and General

DOI: 10.1088/0305-4470/33/19/306

Authors: A Joets, R Ribotta

Institutions: Université Paris-Sud, Laboratoire de physique des Solides

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2022523585

FWCI:

Cites: 14

Cited by: 1

Related to: 10