Abstract
The construction of the second constant of motion of second order for two-dimensional classical systems is carried out in terms ofz=q 1 +iq 2 andq=q 1 −iq 2. As a result a class of Toda-type potentials admitting second order invariants is explored.
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Kaushal, R.S., Mishra, S.C. Further examples of integrable systems in two dimensions. Pramana - J. Phys. 26, 109–115 (1986). https://doi.org/10.1007/BF02847630
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DOI: https://doi.org/10.1007/BF02847630