We generalize the sufficient condition for the stability of relative periodic orbits in symmetric Hamiltonian systems presented in [J.-P. Ortega, T.S. Ratiu, J. Geom. Phys. 32 (1999) 131-1591 to the case in which these orbits have non-trivial symmetry. We also describe a block diagonalization, similar in philosophy to the one presented in [J.-P. Ortega, T.S. Ratiu, Nonlinearity 12 (1999) 693720...

fenugreek is one of the important medicinal plant that used in the pharmaceutical industry. in order to investigate the effects of salinity stress on relative water content, membrane stability, total chlorophyll, sodium, potassium, sodium to potassium ratio and proline, a factorial experiment was conducted in a completely randomized design with three replications in 2013. experimental treatment...

Positive coupling effect in gas condensate reservoirs is assessed through a pure theoretical approach. A combination of linear stability analysis and long bubble approximation is applied to describe gas condensate coupled flow and relative permeability, thereof. The role of capillary number in gas condensate flow is clearly expressed through closed formula for relative permeability. While the m...

The evolution of the energy functional in a dynamical system which arises from the stability of the time periodic temperature modulated state of the Rayleigh–Bénard convection in a horizontal thin fluid layer; results in a deviation of the critical nonlinear stability boundary from the linear instability boundary. If the fluid under consideration is magnetically polarizable, the deviation is fu...

We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by Ortega and Ratiu [7] and by Lerman and Singer [3]. In both papers the authors give sufficient conditions for stability which require first determining a splitting of a subalgebra of g, with different splittings giving ...

in this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. we extract the information function ofan ergodic dynamical system (x,t) from the relative information of t fromthe view point of observer χx, where x denotes the base space of the system.we also generalize the inv...

This paper presents a model describing the effects of a human driver on the tipping stability of a powered wheelchair. The tipping stability is measured by the angle of tilt required to induce a loss of contact between any of the wheels of the wheelchair and the ground. Specifically, the effect of moving the centre of gravity of the human driver relative to that of the wheelchair in a controlle...

abstractl density functional theory (dft) was used to investigate the effects of intra-moecular interactions and implicit water molecules on the relative stability and the nmr shielding tensors of hallucinogenic harmine in the monomeric and dimeric states. results represented that the relative stability and the nmr shielding tensors are dependent on the resonance interactions and chemical envir...