Monotonicity of the over-rotation interval for bimodal maps (Q2074385)

For a two-parameter family of unit-interval bimodal maps \(H_{\alpha,\beta}\), the authors prove that the map associating to every parameter pair \((\alpha,\beta)\) the left-endpoint \(\psi(\alpha,\beta)\) of the over-rotation interval \(I_{\alpha,\beta}\) of the map \(H_{\alpha,\beta}\) is a monotone map.