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Field-theoretic description of the multicritical behavior of systems with two order parameters

✍ Scribed by V. V. Prudnikov; P. V. Prudnikov; A. A. Fedorenko

Book ID
110146802
Publisher
SP MAIK Nauka/Interperiodica
Year
1998
Tongue
English
Weight
137 KB
Volume
68
Category
Article
ISSN
0021-3640

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✍ Jun Wu; Zhicheng Wang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 282 KB

By employing the Deimling fixed point index theory, we consider a class of second-order nonlinear differential systems with two parameters (Ξ», Β΅) ∈ R 2 + \ {(0, 0)}. We show that there exist three nonempty subsets of R 2 + \ {(0, 0)}: Ξ“ , βˆ† 1 and βˆ† 2 such that R 2 + \ {(0, 0)} = Ξ“ βˆͺ βˆ† 1 βˆͺ βˆ† 2 and th