Oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. Fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. In oscillating systems, the reaction is far from thermodynamic equilibrium. In these systems, at least one autocatalytic step is required. Developing an instinctiv...

oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. in oscillating systems, the reaction is far from thermodynamic equilibrium. in these systems, at least one autocatalytic step is required. developing an instinctiv...

In this paper, we investigate the quintessence models with an oscillating equation of state (EoS) and their potentials. From the constructed potentials, which have the EoS of ωφ = ω0+ω1 sin z, we find they are all the oscillating functions of the field φ, and the oscillating amplitudes are decreasing (or increasing) with φ. From the evolutive equation of the field φ, we find this is caused by t...

This paper describes a preliminary investigation into the use of normal form theory for modelling large non-linear dynamical systems. Limit cycle oscillations are determined for simple two-degree-of-freedom double pendulum systems. The double pendulum system is reduced into its centre manifold before computing normal forms. Normal forms are obtained using a period averaging method which is appl...

The Higgs effective potential with temperature corrections is considered and different cases of scalar field symmetry state are discussed within gauge theories of gravity. It is shown that nonsingular oscillating solutions of cosmological equations exist for this model. PACS: 04.50, 98.80Cq