Writers (and speakers) choose words to evoke a desired response, whether we seek to arouse sympathy or inspire action. The definition of evoke, according to Merriam-Webster’s Online Dictionary, is to “call forth or up” (conjure); to “cite especially with approval or for support” (invoke); to “bring to mind or recollection” and to “re-create imaginatively.”
The sight of the ring evoked memories of happier times.
Music evokes strong emotions in some listeners.
Invoke can have a similar meaning (“to make someone feel a particular emotion or see a particular image in their minds”) but is more commonly used when calling upon a rule (such as the Fifth Amendment) or deity for help or support:
The defendant plans to invoke her constitutional privilege to avoid self-incrimination.
The priestess invoked the spirits of the ancestors.
The writer has developed a ritual to invoke his muse.
Invocation refers to the act of asking for help or support, or to the the prayer itself:
The meeting opened with an invocation.
The atheist’s invocations influenced the judges.
Invocative and evocative are adjectives. When something is evocative, it evokes (or is likely to evoke) an emotional response:
The photographer is known for his evocative images.
Invocative pertains to invocation. (Invocation is often used in the practice of magical rituals):
As her invocative powers declined, so too did the number of clients seeking her services.
Provoking someone also arouses a response (usually anger or another strong emotion), sometimes intentionally.
He was provoked into action by the taunts and jeers of the group.
Something that is provocative is stimulating or exciting (sexually or otherwise):
Her essay contained some thought-provoking ideas, but her provocative attire caused a stir.
Provocation is an act that incites or stimulates:
Without provocation, the man attacked a pedestrian.