Rectangular p-periodicity and pq-periodicity of a rational difference system
Autor: | Dilip, D.S., Babu, Sibi C. |
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Zdroj: | Examples and Counterexamples; November 2021, Vol. 1 Issue: 1 |
Abstrakt: | In this paper, we classify periodic characters of the positive solutions of the difference system (1)xn+1=αe−(yn+xn−1)β+yn+xn−1,yn+1=γe−(xn+yn−1)δ+xn+yn−1as rectangular p-periodic and pq-periodic solutions, where the constants α,β,γ,δ,x−1,x0,y−1,y0>0. Moreover, we do bifurcation analysis and observe various forms of periodic characters of solutions of (1). Also an open problem regarding the newly classified periodic character is proposed. |
Databáze: | Supplemental Index |
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