RStabilityConditions

RStabilityConditions[eqn, a[n], n] gives the fixed points and stability conditions for a recurrence equation.

• RStabilityConditions[{eqn1, eqn2, ...}, {a1[n], a2[n], ...}, n] gives the fixed points and stability conditions for a system of recurrence equations.
• RStabilityConditions[{eqn1, eqn2, ...}, {a1[n], a2[n], ...}, n, {pnt1, pnt2, ...}] gives stability conditions only for the given fixed points.

This function analyzes the stability of recurrence equations.

Examples

RStabilityConditions[a[n + 1] == r*a[n]*(1 - a[n]), a[n], n]

RStabilityConditions[x[n + 1] == 2 x[n] - x[n]^2, x[n], n]

RStabilityConditions[{x[n + 1] == x[n] + y[n], y[n + 1] == x[n]*y[n]}, 
  {x[n], y[n]}, n]

*See the official Wolfram Language Reference for more details.