An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator

In this paper, we consider analytically sliding bifurcations of periodic orbits in the dry friction oscillator. The system depends on two parameters; F, which corresponds to the intensity of the friction and , the frequency of the forcing. We prove the existence of infinitely many codimension-2 bifurcation points and we focus our attention on two of them; A1 := (-1 , F) = (2, 1/3) and B1 := (-1 , F) = (3, 0). We derive analytic expressions in (-1 , F) parameter space for the codimension-1

• Type: Journal
• Year: 2010
• Where: SIAMADS
• Authors: Marcel Guardia, S. John Hogan, Tere M. Seara
• Keywords: Codimension-2 Bifurcation Points, Dry Friction Oscillator, Periodic Orbits, SIAMADS 2010