We show a locally uniform bound for global nonnegative solutions of the system ut = ∆u + uv − bu, vt = ∆v + au in (0, +∞) × Ω, u = v = 0 on (0, +∞)×∂Ω, where a > 0, b ≥ 0 and Ω is a bounded domain in R n , n ≤ 2. In particular, the trajectories starting on the boundary of the domain of attraction of the zero solution are global and bounded.

This paper surveys frequency-domain and time-domain methods for feedback nonlinear systems and their possible applications to chaos control, coupled systems and complex dynamical networks. The absolute stability of Lur’e systems with single equilibrium and global properties of a class of pendulum-like systems with multi-equilibria are discussed. Time-domain and frequency-domain criteria for the...

The conserved DCC ligand-receptor pair Netrin and Frazzled (Fra) has a well-established role in axon guidance. However, the specific sequence motifs required for orchestrating downstream signaling events are not well understood. Evidence from vertebrates suggests that P3 is important for transducing Netrin-mediated turning and outgrowth, whereas in C. elegans it was shown that the P1 and P2 con...

This article is devoted to the stabilization of two under actuated planar systems, the well known straight beam-and-ball system and an original circular beamand-ball system. The feedback control for each system is designed, using the Jordan form of its model, linearized near the unstable equilibrium. The limits on the voltage, fed to the motor, are taken into account explicitly. The straight be...

world travel and tourism council has estimated that contribution of tourism sector to global economy and employment will be increasing in the next 10 years. travel and tourism contributes to various areas of economy and tourism is accounted as one of most significant industries of 21st century. if countries provide the required capacity for development of tourism industry, they would be able to...

a time-domain approach is presented to calculate electromagnetic fields inside a large electromagnetic pulse (emp) simulator. this type of emp simulator is used for studying the effect of electromagnetic pulses on electrical apparatus in various structures such as vehicles, a reoplanes, etc. the simulator consists of three planar transmission lines. to solve the problem, we first model the meta...