Title :
The squeezed spiral map: a one-dimensional model of dynamics for a class of third order systems
Author :
Ogorzalek, Maciej J.
Author_Institution :
Dept. of Electr. Eng., Acad. of Min. & Metall., Krakow, Poland
Abstract :
For a class of third-order nonlinear systems, a one-dimensional model reflecting dynamic properties of the original system is proposed. Properties of this map, called the squeezed spiral map, are investigated. Dynamic phenomena encountered in the original system are reproduced by the model map with very good accuracy
Keywords :
chaos; dynamics; nonlinear systems; dynamic properties; nonlinear systems; one-dimensional model; squeezed spiral map; third order systems; Chaos; Eigenvalues and eigenfunctions; Equations; Linear systems; Linearity; Nonlinear dynamical systems; Nonlinear systems; Piecewise linear techniques; Spirals; Trajectory;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112132
