There were two systems called the “Lynx” in the 1980s, and they are not to be confused with the Atari Lynx handheld game console that was released in 1989.
The first Lynx was released in 1983 by a UK company called Lynx Computers Ltd. It is also known as the “Lynx 48”. There is currently no emulator available for this system.
The second Lynx was released in 1984 by a UK company called Camputers Ltd. It is also known as the “Camputers Lynx”. There is currently no emulator available for this system either, although there is an ongoing project to create one called the “Lynx FPGA”. However, it is not yet complete and not available for general use.