Dynamical structures emerging in higher order nonlinear systems

Authors

Fernanda Botelho, University of MemphisFollow
James E. Jamison, University of MemphisFollow
J. Angela Murdock, University of Memphis

Abstract

The polar decomposition is used to analyze a class of canonical models of differential equations over the quaternions. A spectrum of oscillatory behaviors can be observed and techniques to detect directional changes of oscillations are derived. A classification of transient oscillatory behaviors encountered is also presented. © Dynamic Publishers, Inc.

Publication Title

Communications in Applied Analysis

Recommended Citation

Botelho, F., Jamison, J., & Murdock, J. (2006). Dynamical structures emerging in higher order nonlinear systems. Communications in Applied Analysis, 10 (1), 43-56. Retrieved from https://digitalcommons.memphis.edu/facpubs/4551