Limit cycles are common in hybrid systems. However the non-smooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of non-smooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. The concepts are illustrated using a compass gait bi...

In the course of economic globalization a process of formation of the united financial market has evolved. The united market means a gradual merge of financial risks and increase of volumes and unpredictability of aggregate risk in the result of synergetic effect contained in the nature of financial market as of a nonlinear dynamical system. The article examines the factors of financial globali...

Game theory has been widely applied to many areas including economics, biology and social sciences. However, it is still challenging to quantify the global stability and global dynamics of the game theory. We developed a landscape and flux framework to quantify the global stability and global dynamics of the game theory. As an example, we investigated the models of three-strategy games: a speci...

Ubiquitin-mediated proteolysis regulates all aspects of cellular function, and defects in this process are associated with human diseases. The limited number of identified ubiquitin ligase-substrate pairs is a major bottleneck in the ubiquitin field. We established and applied genetic technologies that combine global protein stability (GPS) profiling and genetic perturbation of E3 activity to s...

On the basis of a mathematical model, we continue the study of the metabolic Krebs cycle (or the tricarboxylic acid cycle). For the first time, we consider its consistency and stability, which depend on the dissipation of a transmembrane potential formed by the respiratory chain in the plasmatic membrane of a cell. The phase-parametric characteristic of the dynamics of the ATP level depending o...

Jean-Louis BIGOURDAN and James M. REILLY Image Permanence Institute Rochester Institute of Technology Rochester, New York, USA ABSTRACT The effect of changing environments on paper stability was studied using three types of paper (acid-processed 100% cotton, acid-processed groundwood, and buffered groundwood). The study was based upon three cycling situations. The effect of humidity cycling alo...

Limit cycles are common in hybrid systems. However the nonsmooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. The concepts are illustrated using a coupled tank syst...

A concept of generalized matrix measure for nonlinear systems is proposed to study the stability of switched nonlinear systems directly. Based on this concept, some sufficient conditions for robust stability of switched nonlinear systems are derived by using the methods of cycle analysis and contraction analysis.

The meridional freshwater flux in the atmosphere, and hence the strength of the hydrological cycle, undergoes variations on glacial–interglacial as well as on some shorter timescales. A significant portion of these changes to the hydrological cycle are due to the temperature–precipitation feedback according to which there is more precipitation over the higher latitudes during warm periods when ...

Checkpoints monitor critical cell cycle events such as chromosome duplication and segregation. They are highly conserved mechanisms that prevent progression into the next phase of the cell cycle when cells are unable to accomplish the previous event properly. During S phase, cells also provide a surveillance mechanism called the DNA replication checkpoint, which consists of a conserved kinase c...