Title :
Van der Pol networks with symmetry
Author :
Dayawansa, Wijesuriya P. ; Martin, Clyde F.
Author_Institution :
Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA
Abstract :
Concerns the modelling of biological control with rhythm, especially the mammalian circadian rhythm. Van der Pol oscillator networks have been proposed as a template to produce abstract circuit models that are capable of producing complex oscillatory and spiking patterns of behavior. Here, a particular case of a symmetrically coupled network is treated for its global behavior. It is shown that for a certain connection pattern the circuit is capable of producing globally asymptotically stable oscillations
Keywords :
asymptotic stability; biocontrol; equivalent circuits; relaxation oscillators; stability criteria; symmetry; abstract circuit models; biological control; complex oscillatory patterns; complex spiking patterns; globally asymptotically stable oscillations; mammalian circadian rhythm; symmetrically coupled network; van der Pol oscillator networks; Bifurcation; Cells (biology); Circadian rhythm; Coupling circuits; Density estimation robust algorithm; Eigenvalues and eigenfunctions; Mathematical model; Mathematics; Orbits; Oscillators;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980137
