Isospectral integrability analysis of dynamical systems on discrete manifolds

Authors

Denis Blackmore, New Jersey Institute of Technology
Anatoliy K. Prykarpatsky, AGH University of Krakow
Yarema A. Prykarpatsky, Drohobych Ivan Franko State Pedagogical University

Document Type

Article

Publication Date

1-1-2012

Abstract

It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability of the discrete nonlinear Schrödinger, Ragnisco-Tu and Riemann-Burgers dynamical systems.

Identifier

84864149855 (Scopus)

Publication Title

Opuscula Mathematica

External Full Text Location

https://doi.org/10.7494/OpMath.2012.32.1.41

ISSN

12329274

First Page

41

Last Page

66

Issue

1

Volume

32

Grant

1029809

Fund Ref

National Science Foundation

Recommended Citation

Blackmore, Denis; Prykarpatsky, Anatoliy K.; and Prykarpatsky, Yarema A., "Isospectral integrability analysis of dynamical systems on discrete manifolds" (2012). Faculty Publications. 18529.
https://digitalcommons.njit.edu/fac_pubs/18529