#### Filter Results:

#### Publication Year

2006

2008

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

We show that the p-periodic logistic equation x n+1 = µ n mod p x n (1 − x n) has cycles (periodic solutions) of minimal periods 1, p, 2p, 3p, .... Then we extend Singer's theorem to periodic difference equations, and use it to show the p-periodic logistic equation has at most p stable cycles. Also, we present computational methods investigating the stable… (More)

In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays x n = f (n − 1, x n−k). We show that the periodic orbits of this equation depend on the periodic orbits of p autonomous equations when p divides k. When p is not a divisor of k, the periodic orbits depend on the periodic orbits of… (More)

5 We study the combinatorial structure of periodic orbits of nonautonomous difference 6 equations x n+1 = f n (x n) in a periodically fluctuating environment. We define the 7 Γ-set to be the set of minimal periods that are not multiples of the phase period. We 8 show that when the functions f n are rational functions, the Γ-set is a finite set. In 9… (More)

- ‹
- 1
- ›