We study the evolution of stable D-branes of C/Zn and twisted circle theories in the process of closed string tachyon condensation. We interpret the fractional branes in these backgrounds as type II branes wrapping (‘blown up’) cycles, and trace the evolution of the corresponding cycles under tachyon condensation. We also study RG flows of the corresponding N = 2 boundary conformal field theori...

The dynamics of structurally stable heteroclinic cycles connecting fixed points with one-dimensional unstable manifolds under the influence of noise is analyzed. Fokker-Planck equations for the evolution of the probability distribution of trajectories near heteroclinic cycles are solved. The influence of the magnitude of the stable and unstable eigenvalues at the fixed points and of the amplitu...

The dynamical random graphs associated with a certain class of biological neural networks are introduced and studied. We describe the phase diagram revealing the parameters of a single neuron and of the synaptic strengths which allow formation of the stable strongly connected large groups of neurons. It is shown that the cycles are the most stable structures when the Hebb rule is implemented in...

In this paper we continue exploring a recently introduced financial market model in which boundedly rational agents follow technical and fundamental trading rules to determine their orders. Amongst other things, our model reveals that interactions between heterogeneous speculators can generate interesting boom-bust cycles. In addition, we provide an extensive analytical treatment of the model’s...

OBJECTIVES To evaluate fatigue of stud (ERA Overdenture (orange and white), Locator Root (pink) and OP anchor # 4) and magnetic (Magfit EX600W) attachments by measuring maximum retentive force. To compare retentive force of overdenture attachments after their reach stable retention. To determine minimum number of cycles required to reach stable retention. MATERIAL AND METHODS Three specimens ...

photodegradation of dicamba, an ionizable herbicide, using tio2 supported on hzsm-11 zeolite was investigated. four photocatalysts with different weight percentages (wt%) of tio2 were evaluated: 3%, 10%, 30% and 50%. the effects of the catalyst concentration, the initial ph value and the repeatability of the photocatalytic activity after multiple cycles of reuse were also evaluated. results sho...

The use of stable isotopes to solve biogeochemical problems in ecosystem analysis is increasing rapidly because stable isotope data can contribute both source-sink (tracer) and process information: The elements C, N, S, H, and all have more than one isotope, and isotopic compositions of natural materials can be measured with great precision with a mass spectrometer. Isotopic compositions change...

We prove the following results : (a) The Cube-Connected Cycles network of dimension n is a subgraph of the Butterry network of dimension n. (b) The Shuue-Exchange network of dimension n is a subgraph of the DeBruijn network of dimension n.

Many studies of the evolution of life-history traits assume that the underlying population dynamical attractor is stable point equilibrium. However, evolutionary outcomes can change significantly in different circumstances. We present an analysis based on adaptive dynamics of a discrete-time demographic model involving a trade-off whose shape is also an important determinant of evolutionary beh...

We investigate the stability properties of two different classes of metabolic cycles using a combination of analytical and computational methods. Using principles from structural kinetic modeling (SKM), we show that the stability of metabolic networks with certain structural regularities can be studied using a combination of analytical and computational techniques. We then apply these technique...