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Exponential Stability of Impulsive Stochastic Delay Partial Differential Equations with Poisson Jumps
impulsive stochastic differential equation exponential stability mild solution Poisson jumps
2012/9/24
Up to now, the stability problem of mild solution for the impulsive stochastic system with Poisson jumps has not been solved. In this paper, based on fixed point theory, the stability of mild solution...
Stability of Impulsive Stochastic Partial Delay Differential Equations with Markovian Jumps
impulse mild solution asymptotical stability Markovian jumps
2012/9/26
Based on the fixed point theory, the asymp totical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, s...
Control of large 1D networks of double integrator agents: role of heterogeneity and asymmetry on stability margin
Control large 1D networks double integrator agents role heterogeneity asymmetry on stability margin
2010/11/10
We consider the distributed control of a network of heterogeneous agents with double integrator dynamics to maintain a rigid formation in 1D Euclidean space. The control signal at a vehicle is allowed...
On stability of rolls near the onset of convection in a layer with stress-free boundaries
stress-free boundaries linear stability
2010/4/2
We consider a classical problem of linear stability of convective rolls in a plane layer with stress-free horizontal boundaries near the onset of convection. The problem has been studied by a number o...
Stability and chaos in coupled two-dimensional maps on Gene Regulatory Network of bacterium E.Coli
two-dimensional maps complex networks bacterium E.Coli
2010/4/2
The collective dynamics of coupled two-dimensional chaotic maps on complex networks is known to exhibit a rich variety of emergent properties which crucially depend on the underlying network topology....
Stability properties of periodically driven overdamped pendula and their implications to physics of semiconductor superlattices and Josephson junctions
differential equation time dependence sinusoidal nonlinearity
2010/4/8
We consider the first order differential equation with a sinusoidal nonlinearity and periodic time dependence, that is, the periodically driven overdamped pendulum. The problem is studied in the case ...
Rayleigh Number in a Stability Problem for a Micropolar Fluid
Fourier series methods micropolar fluid thermal convection Rayleigh number
2010/2/26
Approximate numerical evaluations of the Rayleigh number are obtained for a stability problem of thermal convection in a heat-conducting micropolar fluid layer between two rigid boundaries [7]. The in...