Title :
Phase analysis for 2-D weakly coupled oscillatory systems
Author :
Rojas, Alejandro ; Middleton, Richard
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Newcastle Univ., NSW, Australia
Abstract :
A phase representation of a two dimensional nonlinear autonomous oscillator is presented. The validity of this representation is argued from the point of view of continuity and a global model is then obtained for a set of coupled oscillators. A brief review of a biological motivated 2 dimensional model for calcium oscillations within a cell is presented as an example of this concepts. A discussion on the results obtained concludes the present work.
Keywords :
bifurcation; calcium; cellular biophysics; coupled circuits; nonlinear dynamical systems; oscillations; oscillators; 2D weakly coupled oscillatory system; calcium oscillation; phase analysis; two dimensional nonlinear autonomous oscillator; Australia; Bifurcation; Biological system modeling; Calcium; Computer science; Frequency synchronization; Limit-cycles; Oscillators; Power system dynamics; State-space methods;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470194
