Dynamical structures emerging in higher order nonlinear systems
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.
Communications in Applied Analysis
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