Bifurcations of solitary waves are classified for the generalized nonlinear Schrödinger equations with arbitrary nonlinearities and external potentials in arbitrary spatial dimensions. Analytical conditions are derived for three major types of solitary wave bifurcations, namely, saddle-node, pitchfork, and transcritical bifurcations. Shapes of power diagrams near these bifurcations are also obt...

We report on transcritical bifurcations of periodic orbits in nonintegrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties using a recent mathematical description of transcritical bifurcations in families of symplectic maps. We then present numerical examples of transcritical bifurcations in a class of generalized Hénon-Heiles Hamiltonians ...

Carbon dioxide is a safe, economic and environmentally sustainable refrigerantwhich can be used in heat pump and refrigeration systems. Research into the performance and benefits of a transcritical heat pump cycle using carbon dioxide began in the early 1990s. Theoretical and experimental research, as well as commercial system development, has improved transcritical system performance to a leve...

Integrating a two-phase ejector in mechanical vapor compression heat pumps is practical and low-cost solution for improving performance reducing energy consumption. Typically, using an to recover part of the important pressure expansion losses CO2 systems may improve operating conditions compressor. One prerequisites success such application proper design ejector. This study mainly dedicated de...

This study brings an experimental research that has tested a real transcritical CO2 vapor compression cycle includes thermoelectric subcooler at the exit of gas-cooler refrigeration plant. The aforementioned technology hybridization increases COP systems as long subcooling system is properly designed and operated. facility studied been under constant ambient conditions (30 °C relative humidity ...