We consider families of random dynamical systems induced by parametrized one dimensional stochastic diierential equations. We give necessary and suucient conditions on the invariant measures of the associated Markov semigroups which ensure a stochastic bifurcation. This leads to suucient conditions on drift and diiusion coeecients for a stochastic pitchfork and transcritical bifurcation of the ...

We consider families of random dynamical systems induced by parametrized one dimensional stochastic diierential equations. We give necessary and suucient conditions on the invariant measures of the associated Markov semigroups which ensure a stochastic bifurcation. This leads to suucient conditions on drift and diiusion coeecients for a stochastic pitchfork and transcritical bifurcation of the ...

Chaotic dynamics of a classical prey-predator-superpredator ecological model are considered. Although much is known about the behavior of the model numerically, very few results have been proven analytically. A new analytical result is obtained. It is demonstrated that there exists a subset on which a singular Poincare map generated by the model is conjugate to the shift map on two symbols. The...

We study synchrony-breaking local steady-state bifurcation in networks of dynamical systems when the critical eigenvalue is real and simple, using singularity theory to transform the bifurcation into normal form. In a general dynamical system, a generic steady-state local bifurcation from a trivial state is transcritical, or, in the presence of symmetry, a pitchfork (if the action on the critic...

Undisturbed water in a two-dimensional long channel obtains mechanical energy from a moving bump on the bottom of the channel. When the bump moves to the left at a speed near the critical shallow water wave velocity (gH) ‘12, the free surface of the water consists of a soliton zone upstream, and a uniform depression zone and a wake zone downstream. Lee, Yates and Wu [J. Fluid Mech. 199, 569-593...

A rotary vane expander has been developed to replace the throttling valve for improving the COP of transcritical CO2 refrigeration system. Due to the serious internal leakage, the expander efficiency is not satisfactory. This paper presents the theoretical and experimental investigation on the internal leakage in a rotary vane expander prototype. Firstly, the leakage flow rate through the inter...

• Solutions to boost the COP of low-medium power transcritical CO2 refrigeration cycles Evaluation an internal heat exchanger (IHX) and a thermoelectric subcooler (TESC) Comparative cooling capacity between IHX TESC Greater improvements obtained in with Discussion strengths weaknesses both technologies for The use carbon dioxide state has become one most used solutions comply F-Gas directive re...

Pumped thermal energy storage (PTES) is a technology for intermediate of electrical in the form energy. In this work, PTES systems based on transcritical CO2 charging process are investigated. A two-zone water tank with temperature 115°C used as storage. For discharge, an Organic Rankine Cycle (ORC) and, alternatively, heat engine The considered concepts modelled and simulated stationary proces...

Microfluidics technology has grown rapidly over the past decades due to its high surface-to-volume ratios, flow controllability, and length scales efficiently suited for interacting with microscopic elements. However, as a consequence of small rates mixing transfer they achieve operating under laminar regimes, utilization microfluidics energy applications long been key challenge. In this regard...