Behavior trees represent a hierarchical and modular way of combining several low-level control policies into high-level task-switching policy. Hybrid dynamical systems can also be seen in terms task switching between different policies, therefore comparisons behavior hybrid have been made, but only informally, discrete time. A formal continuous-time formulation has lacking. Additionally, conver...

We study the dynamical behavior of the BTZ(Banados-Teitelboim-Zanelli) black hole with the low-energy string effective action. The perturbation analysis around the BTZ black hole reveals a mixing between the dilaton and other fields. Introducing the new gauge(dilaton gauge), we disentangle this mixing completely and obtain one decoupled dilaton equation. We obtain the decay rate Γ of BTZ black ...

We present eecient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate discretization of the Frobenius-Perron operator, and two essentially diierent mathematical concepts are used: the ide...

Classifier systems are increasingly being applied to the analysis of economic phenomena. Among these applications are adaptive models of learning, the creation of artifical economies, and the development of economic webs. A methodology is described for studying the dynamical behavior of classifier systems. The methodology is useful because of the current lack of analytical results describing in...

‎Hepatitis B virus (HBV) infection is a major public health problem in the world today‎. ‎A mathematical model is formulated to describe the spread of hepatitis B‎, ‎which can be controlled by vaccination as well as treatment‎. ‎We study the dynamical behavior of the system with fixed control for both vaccination and treatment‎. ‎The results shows that the dynamics of the model is completely de...