Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity
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Publication:1208392
DOI10.1016/0960-0779(92)90055-RzbMath0766.92007OpenAlexW2014401870WikidataQ56331131 ScholiaQ56331131MaRDI QIDQ1208392
Publication date: 16 May 1993
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0960-0779(92)90055-r
time seriesperiodicityPoincaré mapsbifurcation diagramsLyapunov spectraRose-Hindmarsh modelcrisis-induced chaospiecewise smooth, one-dimensional map
Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Cites Work
- Chaos in a three-variable model of an excitable cell
- Determining Lyapunov exponents from a time series
- From simple to complex oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity
- From simple to simple bursting oscillatory behaviour via chaos in the Rose- Hindmarsh model for neuronal activity
- Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
- The transition from bursting to continuous spiking in excitable membrane models
- Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
