Rectangular p-periodicity and pq-periodicity of a rational difference system
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 obs...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-11-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X21000021 |
| _version_ | 1828918161561354240 |
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| author | D.S. Dilip Sibi C. Babu |
| author_facet | D.S. Dilip Sibi C. Babu |
| author_sort | D.S. Dilip |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T21:04:55Z |
| format | Article |
| id | doaj.art-72ddc6a67c57409da6899ce7b5b961d3 |
| institution | Directory Open Access Journal |
| issn | 2666-657X |
| language | English |
| last_indexed | 2024-12-13T21:04:55Z |
| publishDate | 2021-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj.art-72ddc6a67c57409da6899ce7b5b961d32022-12-21T23:31:30ZengElsevierExamples and Counterexamples2666-657X2021-11-011100004Rectangular p-periodicity and pq-periodicity of a rational difference systemD.S. Dilip0Sibi C. Babu1Corresponding author at: Department of Mathematics, St.John’s College, Anchal, Kollam District, Kerala, India.; Department of Mathematics, St.John’s College, Anchal, Kollam District, Kerala, India; Department of Mathematics, Mar Ivanios College, Research Center, University of Kerala, Thiruvananthapuram District, Kerala, IndiaDepartment of Mathematics, St.John’s College, Anchal, Kollam District, Kerala, India; Department of Mathematics, Mar Ivanios College, Research Center, University of Kerala, Thiruvananthapuram District, Kerala, IndiaIn 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.http://www.sciencedirect.com/science/article/pii/S2666657X21000021Difference systemBoundednessBifurcationPeriodicityRectangular p-periodicity |
| spellingShingle | D.S. Dilip Sibi C. Babu Rectangular p-periodicity and pq-periodicity of a rational difference system Examples and Counterexamples Difference system Boundedness Bifurcation Periodicity Rectangular p-periodicity |
| title | Rectangular p-periodicity and pq-periodicity of a rational difference system |
| title_full | Rectangular p-periodicity and pq-periodicity of a rational difference system |
| title_fullStr | Rectangular p-periodicity and pq-periodicity of a rational difference system |
| title_full_unstemmed | Rectangular p-periodicity and pq-periodicity of a rational difference system |
| title_short | Rectangular p-periodicity and pq-periodicity of a rational difference system |
| title_sort | rectangular p periodicity and pq periodicity of a rational difference system |
| topic | Difference system Boundedness Bifurcation Periodicity Rectangular p-periodicity |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X21000021 |
| work_keys_str_mv | AT dsdilip rectangularpperiodicityandpqperiodicityofarationaldifferencesystem AT sibicbabu rectangularpperiodicityandpqperiodicityofarationaldifferencesystem |