Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).
Vol. 9890 LNCS.
2016.
P. 212-227
Properties of surjective real quadratic maps
The properties of surjective real quadratic maps are investigated. Sufficient conditions for the property of surjectivity to be stable under various perturbations are obtained. Examples of surjective quadratic maps whose surjectivity breaks down after an arbitrarily small perturbation are constructed. Sufficient conditions for quadratic maps to have nontrivial zeros are obtained. For a smooth even map in a neighbourhood of the origin an inverse function theorem in terms of the degree of the corresponding quadratic map is obtained. A canonical form of surjective quadratic maps from ℝ3 to ℝ3 is constructed. © 2016 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.
Authors
Arutyunov A.V.
1,
2,
3
,
Zhukovskiy S.E.
1
Journal
Publisher
Russian Academy of Sciences
Number of issue
9
Language
English
Pages
1187-1214
Status
Published
Link
DOI
Volume
207
Year
2016
Organizations
- 1 RUDN University, Moscow, Russian Federation
- 2 Moscow State University, Russian Federation
- 3 Tambov State University, Russian Federation
Keywords
Inverse function; Nontrivial zero; Quadratic map
Date of creation
19.10.2018
Date of change
19.10.2018
Share
Other records
Digest of Technical Papers - SID International Symposium.
Blackwell Publishing Ltd.
Vol. 47.
2016.
P. 1645-1648