Introduction to focus issue: mixed mode oscillations: experiment, computation, and analysis
- PMID: 18377082
- DOI: 10.1063/1.2903177
Introduction to focus issue: mixed mode oscillations: experiment, computation, and analysis
Abstract
Mixed mode oscillations (MMOs) occur when a dynamical system switches between fast and slow motion and small and large amplitude. MMOs appear in a variety of systems in nature, and may be simple or complex. This focus issue presents a series of articles on theoretical, numerical, and experimental aspects of MMOs. The applications cover physical, chemical, and biological systems.
Similar articles
-
Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system.Chaos. 2008 Mar;18(1):015107. doi: 10.1063/1.2799471. Chaos. 2008. PMID: 18377088
-
Nonlocal branches of cycles, bistability, and topologically persistent mixed mode oscillations.Chaos. 2008 Mar;18(1):015109. doi: 10.1063/1.2779847. Chaos. 2008. PMID: 18377090
-
Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle.Chaos. 2008 Mar;18(1):015111. doi: 10.1063/1.2779852. Chaos. 2008. PMID: 18377092
-
Rhythms of the brain: an examination of mixed mode oscillation approaches to the analysis of neurophysiological data.Chaos. 2008 Mar;18(1):015115. doi: 10.1063/1.2900015. Chaos. 2008. PMID: 18377096 Review.
-
Analyses of non-linear systems and their application to biology: a review.Front Med Biol Eng. 1994;6(1):1-35. Front Med Biol Eng. 1994. PMID: 8060902 Review.
Cited by
-
A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells.J Comput Neurosci. 2014 Apr;36(2):259-78. doi: 10.1007/s10827-013-0470-8. Epub 2013 Jul 3. J Comput Neurosci. 2014. PMID: 23820858
-
Mixed mode oscillations as a mechanism for pseudo-plateau bursting.J Comput Neurosci. 2010 Jun;28(3):443-58. doi: 10.1007/s10827-010-0226-7. Epub 2010 Feb 26. J Comput Neurosci. 2010. PMID: 20186476 Free PMC article.
-
Emergence of Mixed Mode Oscillations in Random Networks of Diverse Excitable Neurons: The Role of Neighbors and Electrical Coupling.Front Comput Neurosci. 2020 Jun 8;14:49. doi: 10.3389/fncom.2020.00049. eCollection 2020. Front Comput Neurosci. 2020. PMID: 32581757 Free PMC article.
-
Biophysical model for gamma rhythms in the olfactory bulb via subthreshold oscillations.Proc Natl Acad Sci U S A. 2009 Dec 22;106(51):21954-9. doi: 10.1073/pnas.0910964106. Epub 2009 Dec 8. Proc Natl Acad Sci U S A. 2009. PMID: 19996171 Free PMC article.
-
Mechanism and function of mixed-mode oscillations in vibrissa motoneurons.PLoS One. 2014 Oct 2;9(10):e109205. doi: 10.1371/journal.pone.0109205. eCollection 2014. PLoS One. 2014. PMID: 25275462 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources