Integrability of the discretization of the controlled Euler Top |
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| Authors: | Supriya Mukherjee Sourav Dutta |
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| Institution: | a Swami Vivekananda Institute for Science and Technology, South Gobindapur, Kolkata-700145, West Bengal, India
b Electrical Engineering Department, Jadavpur University, India |
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| Abstract: | The Euler equations with two controls are discretized by using the bilinear transformation method. The discrete equations are explicit and exhibit a sufficient number of conserved quantities for integrability. The explicit solution to the discrete controlled Euler top are deduced in terms of elliptic functions. |
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| Keywords: | Discretization Bilinear method Conserved quantities Explicit solutions via elliptic functions |
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