connector between copper wire and very small silver wire
Affix a small barrier terminal strip to the equipment that has the fine silver wires.



Use whatever means is convenient &mdash; screws, glue, double-face foam tape, etc.

Put the silver wires under the screws along one side. This completely eliminates any stress on them.

Use whatever wires you like under the other set of screws to make the connection to the other equipment.