Stretching and folding mechanisms — which pull trajectories apart in one dimension while compressing them in another — constitute a second candidate necessary condition

There is no consensus regarding a precise definition of chaotic behavior among mathematicians and physicists, although physicists often prefer Chaos\(_{h}\) or Chaos\(_{\lambda}\). The latter definitions, however, are trivially false for finite uncertainties in real systems and of limited applicability for mathematical models. It also appears to be the case that there is no one “right” or “correct” definition, but that varying definitions have varying strengths and weaknesses regarding tradeoffs