The dynamics of the delay difference equation μ[Δxn + αΔxn-N] = -xn+1 + f(xn-N) as n → ∞ is studied for small positive μ. The equation is shown to possess stable periodic solutions that correspond to hyperbolic attracting cycles of the one-dimensional map f.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Applied Mathematics