Pulsars are not only a kind of neutron star, they are neutron stars.
See related question.
All "pulsars" are neutron stars - it's just "we" term pulsars as neutron stars who's orientation towards us shows the beam of electromagnetic radiation. Other neutron stars who's orientation, do not point towards us are not called pulsars, although they exhibit the same characteristics.
Pulsars are rapidly rotating neutron stars that emit beams of electromagnetic energy. Neutron stars form when the core of a massive star collapses and goes supernova leaving behind a neutron star which will begin rotating and releasing energy.
Pulsars and neutron stars are hot because of all the residual heat left over in the core of the original star.
All young neutron stars in reality are "pulsars". However, for a neutron star to be termed a pulsar, it's magnetic axis has to point towards Earth. (So we can see the pulse, even though all young neutron stars have a pulse, they cannot be observed from Earth.)
Radio telescopes detect stars known as 'Pulsars'. They're very small and also known as neutron stars.
There are many [See link] the most common however are pulsars
Anthony Hewish
A pulsar is a rapidly spinning neutron star that releases regular pulses of electromagnetic radiation from its magnetic field
At the centre of the Crab Nebula is the neutron star - Crab pulsar.
(Quotation from "The Young Oxford Book of Astronomy" Simon and Jacqueline Mitton)"In the intense Magnetic Field of a Neutron star, spiraling electrons generate radio waves that are beamed out like a searchlight. The star spins rapidly, swinging the radio beam across our line of sight, like a lighthouse. Some Pulsars emit light, X-rays and gamma rays as well as Radio waves. The slowest pulsars have pulses about four seconds apart but the most rapid repeat in a matter of milliseconds."Which basically tells you that neutron stars can be pulsars, and the pulsar is not an individual part of a neutron star.
A Neutron Star
A young neutron star. Really - that is what a neutron star is. If the neutron star's magnetic field is pointed towards Earth, then it is referred to as a pulsar - because of it's rapid pulsations [See related question] but it is still a neutron star.