In this paper, two kinds of feet, namely, curved and flat feet, are added to limit cycle walking model to investigate its stability properties. Although both models are already proposed and are investigated, most previous works are focused on efficiency and gait behaviors. Only the stability properties of the simplest walking model conceived Garcia et al. are well define...

Studying the cell cycle process is crucial for understanding cell growth, proliferation, development, and death. We uncovered some key factors in determining the global robustness and function of the budding yeast cell cycle by exploring the underlying landscape and flux of this nonequilibrium network. The dynamics of the system is determined by both the landscape which attracts the system down...

SPECTRAL CRITERION OF STOCHASTIC STABILITY FOR INVARIANT MANIFOLDS 1 L. B. Ryashko a† and I. A. Bashkirtseva a‡ UDC 531.36 Abstract. The mean square stability for invariant manifolds of nonlinear stochastic differential equations is considered. The stochastic stability analysis is reduced to the estimation of the spectral radius of some positive operator. For the important case of manifolds wit...

In this paper numerical results are reviewed ([13]) that demonstrate that common second-order operator-splitting methods can exhibit instabilities when integrating the Brusselator equations out to moderate times of about seven periods of oscillation. These instabilities are manifested as high wave number spatial errors. In this paper we further analyze this problem and present a theorem for sta...

2014 The results of calculations of higher flux jumps positions in hard superconductors in decreasing magnetic field have been presented. It has been shown that flux jumps and corresponding stability limits are dependent on maximal magnetic field value in the cycle, which influences mainly first stability limit in decreasing field. Positions of other flux jumps have been determined for two simp...