This paper shows that an integrable approximation of the spring pendulum, when tuned to be in 1 : 1 : 2 resonance, has monodromy. The stepwise precession angle of the swing plane of the resonant spring pendulum is shown to be a rotation number of the integrable approximation. Due to the monodromy, this rotation number is not a globally defined function of the integrals. In fact at lowest order ...

The facility layout problem is concerned with finding the most efficient arrangement of a given number of departments with unequal area requirements within a facility. The facility layout problem is a hard problem, and therefore, exact solution methods are only feasible for small or greatly restricted problems. In this paper, we propose a spring-embedding approach that unlike previous approache...

Dr. Constance E. Ruhl is an Epidemiologist at Social & Scientific Systems, Inc., Silver Spring, MD. Dr. Jeanne M. Clark is a Professor of Medicine and Epidemiology and Director of the Division of General Internal Medicine at The Johns Hopkins University, Baltimore, MD. Dr. James E. Everhart was Chief of the Epidemiology and Clinical Trials Branch in the Division of Digestive Diseases and Nutrit...

The spring-loaded inverted pendulum (SLIP), or monopedal hopper, is an archetypal model for running in numerous animal species. Although locomotion is generally considered a complex task requiring sophisticated control strategies to account for coordination and stability, we show that stable gaits can be found in the SLIP with both linear and "air" springs, controlled by a simple fixed-leg rese...