An Extension of Sharkovsky’s Theorem to Periodic Difference Equations
نویسندگان
چکیده
We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties.
منابع مشابه
Existence and Stability of Periodic orbits of Periodic Difference Equations with Delays
In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays xn = f(n− 1, xn−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 gcd(p, k) nonautonomous p gcd(p,k) periodic...
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