Content area
Abstract
In this paper a periodic parameter-switching scheme is applied to the Hindmarsh–Rose neuronal system to synthesize certain attractors. Results show numerically, via computer graphic simulations, that the obtained synthesized attractor belongs to the class of all admissible attractors for the Hindmarsh–Rose neuronal system and matches the averaged attractor obtained with the control parameter replaced with the averaged switched parameter values. This feature allows us to imagine that living beings are able to maintain vital behavior while the control parameter switches so that their dynamical behavior is suitable for the given environment.
Details
Title
Synthesizing attractors of Hindmarsh–Rose neuronal systems
Author
Marius-F Danca 1 ; Wang, Qingyun 2
1 Dept. of Mathematics and Computer Science, Avram Iancu University, Cluj-Napoca, Romania; Romanian Institute of Science and Technology, Cluj-Napoca, Romania
2 Dept. of Dynamics and Control, Beihang University, Beijing, China; School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot, China
1 Dept. of Mathematics and Computer Science, Avram Iancu University, Cluj-Napoca, Romania; Romanian Institute of Science and Technology, Cluj-Napoca, Romania
2 Dept. of Dynamics and Control, Beihang University, Beijing, China; School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot, China
Pages
437-446
Publication year
2010
Publication date
Oct 2010
ISSN
0924090X
e-ISSN
1573269X
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2259484344
Copyright
Nonlinear Dynamics is a copyright of Springer, (2010). All Rights Reserved.