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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| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/36194 |
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| Institution: | Mahidol University |
| Summary: | © 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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