tell me properties for stability of linear structure of enoleform..?
Answers
The stability of fixed points of a system of constant coefficient linear differential equations of first order can be analyzed using the eigenvalues of the corresponding matrix.
An autonomous system
where x(t) ∈ Rn and A is an n×n matrix with real entries, has a constant solution
(In a different language, the origin 0 ∈ Rn is an equilibrium point of the corresponding dynamical system.) This solution is asymptotically stable as t → ∞ ("in the future") if and only if for all eigenvalues λ of A, Re(λ) < 0. Similarly, it is asymptotically stable as t → −∞ ("in the past") if and only if for all eigenvalues λ of A, Re(λ) > 0. If there exists an eigenvalue λ of A with Re(λ) > 0 then the solution is unstable for t → ∞.
Hey mate here is your answer..
• For stabilitybof linear structure of enoleform.:-
▪ For single ketogroup molecule more alpha hydrogen means more enole contain.
▪ For more than 1 ketogroup . If H- bonding enole form formed by the molecule than enole form is more stable than keto form.
Hope it helps u✌