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On the critical region of systems with two order parameters

✍ Scribed by Tonchev, N S; Uzunov, D I


Book ID
125961656
Publisher
Institute of Physics
Year
1981
Tongue
English
Weight
339 KB
Volume
14
Category
Article
ISSN
0305-4470

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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