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Border collision bifurcations of chaotic attractors in one-dimensional maps with multiple discontinuities.
- Source :
-
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences . 9/29/2021, Vol. 477 Issue 2253, p1-19. 19p. - Publication Year :
- 2021
-
Abstract
- In one-dimensional piecewise smooth maps with multiple borders, chaotic attractors may undergo border collision bifurcations, leading to a sudden change in their structure. We describe two types of such border collision bifurcations and explain the mechanisms causing the changes in the geometrical structure of the attractors, in particular, in the number of their bands (connected components). [ABSTRACT FROM AUTHOR]
- Subjects :
- *POINCARE maps (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 13645021
- Volume :
- 477
- Issue :
- 2253
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 153191956
- Full Text :
- https://doi.org/10.1098/rspa.2021.0432