Periodic solutions of a generalized system of piecewise linear difference equations
© 2015, Tikjha et al. In this article we consider the global behavior of the following system of piecewise linear difference equations: (Formula presented.) where b is any positive real number and the initial condition (Formula presented.) is an element of <sup>R2</sup>. By mathematical...
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th-mahidol.361942018-11-23T17:26:19Z Periodic solutions of a generalized system of piecewise linear difference equations Wirot Tikjha Evelina Lapierre Yongwimon Lenbury Pibulsongkram Rajabhat University Thailand Ministry of Education Johnson and Wales University Mahidol University Mathematics © 2015, Tikjha et al. In this article we consider the global behavior of the following system of piecewise linear difference equations: (Formula presented.) where b is any positive real number and the initial condition (Formula presented.) is an element of <sup>R2</sup>. By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution. 2018-11-23T10:26:19Z 2018-11-23T10:26:19Z 2015-12-12 Article Advances in Difference Equations. Vol.2015, No.1 (2015) 10.1186/s13662-015-0585-5 16871847 16871839 2-s2.0-84938888412 https://repository.li.mahidol.ac.th/handle/123456789/36194 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84938888412&origin=inward |
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Mathematics Wirot Tikjha Evelina Lapierre Yongwimon Lenbury Periodic solutions of a generalized system of piecewise linear difference equations |
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© 2015, Tikjha et al. In this article we consider the global behavior of the following system of piecewise linear difference equations: (Formula presented.) where b is any positive real number and the initial condition (Formula presented.) is an element of <sup>R2</sup>. By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution. |
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Pibulsongkram Rajabhat University |
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Pibulsongkram Rajabhat University Wirot Tikjha Evelina Lapierre Yongwimon Lenbury |
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Article |
| author |
Wirot Tikjha Evelina Lapierre Yongwimon Lenbury |
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Wirot Tikjha |
| title |
Periodic solutions of a generalized system of piecewise linear difference equations |
| title_short |
Periodic solutions of a generalized system of piecewise linear difference equations |
| title_full |
Periodic solutions of a generalized system of piecewise linear difference equations |
| title_fullStr |
Periodic solutions of a generalized system of piecewise linear difference equations |
| title_full_unstemmed |
Periodic solutions of a generalized system of piecewise linear difference equations |
| title_sort |
periodic solutions of a generalized system of piecewise linear difference equations |
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2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/36194 |
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1763494598203670528 |