the quality or state of being unstable; lack of stability or firmness.
the tendency to behave in an unpredictable, changeable, or erratic manner: emotional instability.

1375–1425; late Middle English instabilite < Latin instabilitās. See in-3, stability Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
instability (ˌɪnstəˈbɪlɪtɪ)
n , pl -ties
1.  lack of stability or steadiness
2.  tendency to variable or unpredictable behaviour
3.  physics a fast growing disturbance or wave in a plasma

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

c.1422, from M.Fr. instabilite, from L. instabilitatem (nom. instabilitas) "unsteadiness," from instabilis "unsteady," from in- "not" + stabilis (see stable (2)).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
According to climatologists, atmospheric instability eventually influences
  geological stability.
And it stated that the sudden departure of high-level administrators had
  created instability at the college.
All of these elements can create a new round of transition issues and
  considerable instability.
It's surprising, even at a small place, how much emotional turbulence and
  instability there is at the employee-relations level.
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