chaos in negative resistance

[Bhuvanesh123]

we know voltage divider bias circuit gives the fraction of the input voltage.i seen in a book that with choosing any one of the resistance has negative ,we achieve amplification.what does that negative resistance mean.how does it affect the circuit.explain me basically

 

[FvM]

Don't know what's exactly written in your book, but the voltage divider with a negative resistance is theoretical construct and doesn't exist as real circuit. A pure negative resistance would need an internal energy source and isn't possible as a simple component.

Components with differential negative resistance exist, e.g. tunnel diodes https://en.wikipedia.org/wiki/Tunnel_diode or gas discharge tubes.

 

[LvW]

A "negative resistance" is a voltage controlled current source with a current flowing into the controlling node.
(Similarly to a "normal" positive resistor with a current that flows out of the driving voltage node.)
This has nothing to do with "chaos".
Negative resistors can be used to compensate damping effects in filters and oscillators.