M Perc, M Marhl - International Journal of Bifurcation and Chaos, 2004 - World Scientific
In this paper, coupling properties of regular and chaotic calcium oscillations are examined. Synchronized calcium signals among coupled cells in tissue, where calcium ions were …
Y Horikawa, H Kitajima - Chaos: An Interdisciplinary Journal of …, 2012 - pubs.aip.org
Propagating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol (BVP) oscillators were studied. The parameter values of the BVP oscillators were near a …
AK Kryukov, GV Osipov, AV Polovinkin, J Kurths - Physical Review E …, 2009 - APS
We study synchronous behavior in ensembles of locally coupled nonidentical Bonhoeffer– van der Pol oscillators. We show that, in a chain of N elements not less than 2 N− 1, different …
T Kanamaru - International Journal of Bifurcation and Chaos, 2006 - World Scientific
To study the mechanism by which high-dimensional chaos emerges in neural systems, the synchronization of chaotic firings in class 1 pulse neural networks composed of excitatory …
MA Barron, M Sen - Journal of Computational and …, 2013 - asmedigitalcollection.asme.org
Interconnected, self-excited oscillators are often found in nature and in engineered devices. In this work, a ring of van der Pol oscillators, each of which is connected to its immediate …
S Peleš, K Wiesenfeld - Physical Review E, 2003 - APS
We explore the transition to in-phase synchronization in globally coupled oscillator arrays, and compare results for van der Pol arrays with Josephson junction arrays. Our approach …
In models of associative memory composed of pulse neurons, chaotic pattern transitions where the pattern retrieved by the network changes chaotically were found. The network is …
In this paper, a modified van der Pol equations are considered as a description of the heart action. Wide ranges of the model parameters yield interesting qualitative results, eg Hopf …