Experimental results are presented for temperatures of two metal surfaces in sliding contact. Considerable fluctuations are observed. It is suggested that temperature gradients, set up by irregular heating at the surface, cause local thermal expansion at the areas of contact, thus perpetuating the irregular contact conditions. The system is limited by the wear at the areas of contact which Hollister Outlet Toronto
eventually reduces the level of the contact areas to that of the surrounding surface. Subsequent cooling causes contraction and produces depressions which correspond to the wear volume during the cycle. Further experiments to confirm this explanation show
This paper revisits the simplest passive walking model by Hollister Canada Coupon Code
Garcia et al. which displays chaos through period doubling from a stable period-1 gait. By carefully numerical studies, two new gaits with period-3 and -4 are found, whose stability is verified by estimates of eigenvalues of the corresponding Jacobian matrices. A surprising phenomenon uncovered here is that they both lead to higher periodic cycles and chaos via period doubling. To study the three different types of chaotic gaits rigorously, the existence of horseshoes is verified and estimates of the topological entropies are made by computer-assisted proofs in terms of topological horseshoe theory.