Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus

Joint Authors

Pierret, Frédéric
Torres, Delfim F. M.

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-05-26

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We derive the Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson’s quantum calculus.

Precisely, we give a theorem characterizing nondifferentiable equations, admitting a Hamiltonian formulation.

Moreover, in the affirmative case, we give the associated Hamiltonian.

American Psychological Association (APA)

Pierret, Frédéric& Torres, Delfim F. M.. 2016. Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103603

Modern Language Association (MLA)

Pierret, Frédéric& Torres, Delfim F. M.. Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1103603

American Medical Association (AMA)

Pierret, Frédéric& Torres, Delfim F. M.. Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103603

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103603