On the detection of nonlinear normal mode-related isolated branches of periodic solutions for high-dimensional nonlinear mechanical systems with frictionless contact interfaces

Control of isolated response curves through optimization of codimension-1 singularities

“…The presence of isolas have been reported in numerous numerical and experimental studies, with the first reports dating back to the 1950s [1]. They can be found in nonlinear mechanical systems affected by various nonlinearities: polynomial [69,50,64,30], contact and friction [66,29,40,76,67,77], hysteretic and piecewise linear elastic restoring forces [10,23,2,28], hertzian contact [62]. They were also uncovered in traf-fic flow [53], flight dynamics models [59] and systems controlled with rate-limited feedback [58].…”