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17 p, 419.6 KB Tips of tongues in the double standard family / Banerjee, Kuntal (Presidency University (India)) ; Buff, Xavier (Centre National de la Recherche Scientifique. Université de Toulouse. Institut de Mathématiques de Toulouse) ; Canela Sánchez, Jordi (Centre de Recerca Matemàtica) ; Epstein, Adam (University of Warwick. Mathematics Institute)
We answer a question raised by Misiurewicz and Rodrigues concerning the family of degree two circle maps F : R/Z → R/Z defined by F(x):= 2x + a + sin(2πx) with λ:= (a, b) ∈ R/Z × (0, 1). We prove that if F - id has a zero of multiplicity three in R/Z, then there is a system of local coordinates (α, β): W → R defined in a neighborhood W of λ, such that α(λ) = β(λ) = 0 and F - id has a multiple zero with μ ∈ W if and only if β(μ) = α(μ). [...]
2021 - 10.1088/1361-6544/ac2d80
Nonlinearity, Vol. 34, Issue 12 (December 2021) , p. 8174-8191  

See also: similar author names
1 Banerjee, Kuheli
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