We use a recently found method to characterize all multiplicative fourth-order difference equations admitting a variational structure. We use this result to give a simplified classification algorithm for such equations and a characterization of the associated symplectic structures. Finally, we discuss several examples of equations of this family from the literature and propose new ones.
Classification of variational multiplicative fourth-order difference equations / G. Gubbiotti. - In: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. - ISSN 1023-6198. - 28:3(2022), pp. 406-428. [10.1080/10236198.2022.2046735]
Classification of variational multiplicative fourth-order difference equations
G. Gubbiotti
Primo
2022
Abstract
We use a recently found method to characterize all multiplicative fourth-order difference equations admitting a variational structure. We use this result to give a simplified classification algorithm for such equations and a characterization of the associated symplectic structures. Finally, we discuss several examples of equations of this family from the literature and propose new ones.
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