Athanasouli, Christina; Kalmbach, Kelsey; Booth, Victoria; Diniz Behn, Cecilia G. NREM-REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep-wake regulation. (English) Zbl 1506.92006 Math. Biosci. 355, Article ID 108929, 19 p. (2023). MSC: 92B25 PDFBibTeX XMLCite \textit{C. Athanasouli} et al., Math. Biosci. 355, Article ID 108929, 19 p. (2023; Zbl 1506.92006) Full Text: DOI
Gardini, Laura; Sushko, Iryna; Tramontana, Fabio Dynamics of a two-dimensional map on nested circles and rings. (English) Zbl 1498.37072 Chaos Solitons Fractals 143, Article ID 110553, 9 p. (2021). MSC: 37E30 37E10 PDFBibTeX XMLCite \textit{L. Gardini} et al., Chaos Solitons Fractals 143, Article ID 110553, 9 p. (2021; Zbl 1498.37072) Full Text: DOI
Marangio, L.; Sedro, J.; Galatolo, S.; Di Garbo, A.; Ghil, M. Arnold maps with noise: differentiability and non-monotonicity of the rotation number. (English) Zbl 1446.37041 J. Stat. Phys. 179, No. 5-6, 1594-1624 (2020). MSC: 37E10 37E45 37C05 PDFBibTeX XMLCite \textit{L. Marangio} et al., J. Stat. Phys. 179, No. 5--6, 1594--1624 (2020; Zbl 1446.37041) Full Text: DOI arXiv
Langfield, Peter; Façanha, Wilson L. C.; Oldeman, Bart; Glass, Leon Bifurcations in a periodically stimulated limit cycle oscillator with finite relaxation times. (English) Zbl 1376.34039 SIAM J. Appl. Dyn. Syst. 16, No. 2, 1045-1069 (2017). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C25 34C26 34D08 37C60 34C15 PDFBibTeX XMLCite \textit{P. Langfield} et al., SIAM J. Appl. Dyn. Syst. 16, No. 2, 1045--1069 (2017; Zbl 1376.34039) Full Text: DOI
Glass, Leon; Shrier, Alvin Functional characterization of oscillatory and excitable media. (English) Zbl 1334.92070 Bull. Math. Biol. 77, No. 5, 782-795 (2015). MSC: 92C20 92C37 PDFBibTeX XMLCite \textit{L. Glass} and \textit{A. Shrier}, Bull. Math. Biol. 77, No. 5, 782--795 (2015; Zbl 1334.92070) Full Text: DOI
Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E. The dynamics of a forced coupled network of active elements. (English) Zbl 1214.37058 Physica D 240, No. 7, 554-567 (2011). Reviewer: Leonhard Lücken (Berlin) MSC: 37N25 92C20 34C15 PDFBibTeX XMLCite \textit{H. F. Parks} et al., Physica D 240, No. 7, 554--567 (2011; Zbl 1214.37058) Full Text: DOI
Loskutov, Alexander; Rybalko, Sergei; Zhuchkova, Ekaterina Model of cardiac tissue as a conductive system with interacting pacemakers and refractory time. (English) Zbl 1060.92027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2457-2466 (2004). MSC: 92C30 92C50 37N25 PDFBibTeX XMLCite \textit{A. Loskutov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2457--2466 (2004; Zbl 1060.92027) Full Text: DOI arXiv
Keeling, M. J.; Rohani, P.; Grenfell, B. T. Seasonally forced disease dynamics explored as switching between attractors. (English) Zbl 1076.92511 Physica D 148, No. 3-4, 317-335 (2001). MSC: 92D30 37N25 PDFBibTeX XMLCite \textit{M. J. Keeling} et al., Physica D 148, No. 3--4, 317--335 (2001; Zbl 1076.92511) Full Text: DOI
Nomura, Taishin; Sato, Shunsuke; Doi, Shinji; Segundo, Jose P.; Stiber, Michael D. Global bifurcation structure of a Bonhoeffer-van der Pol oscillator driven by periodic pulse trains. Comparison with data from a periodically inhibited biological pacemaker. (English) Zbl 0825.92027 Biol. Cybern. 72, No. 1, 55-67 (1994). MSC: 92C20 PDFBibTeX XMLCite \textit{T. Nomura} et al., Biol. Cybern. 72, No. 1, 55--67 (1994; Zbl 0825.92027) Full Text: DOI
Nomura, T.; Sato, S.; Doi, S.; Segundo, J. P.; Stiber, M. D. A modified radial isochron clock with slow and fast dynamics as a model of pacemaker neurons. Global bifurcation structure when driven by periodic pulse trains. (English) Zbl 0825.92029 Biol. Cybern. 72, No. 2, 93-101 (1994). MSC: 92C20 PDFBibTeX XMLCite \textit{T. Nomura} et al., Biol. Cybern. 72, No. 2, 93--101 (1994; Zbl 0825.92029) Full Text: DOI
Cecchi, G. A.; González, D. L.; Magnasco, M. O.; Mindlin, G. B.; Piro, O. Periodically kicked hard oscillators. (English) Zbl 1055.34504 Chaos 3, No. 1, 51-62 (1993). MSC: 34C15 70K99 37C70 37E10 PDFBibTeX XMLCite \textit{G. A. Cecchi} et al., Chaos 3, No. 1, 51--62 (1993; Zbl 1055.34504) Full Text: DOI Link
Ermentrout, B. An adaptive model for synchrony in the firefly Pteroptyx malaccae. (English) Zbl 0719.92009 J. Math. Biol. 29, No. 6, 571-585 (1991). MSC: 92C20 34C15 PDFBibTeX XMLCite \textit{B. Ermentrout}, J. Math. Biol. 29, No. 6, 571--585 (1991; Zbl 0719.92009) Full Text: DOI
Vance, William N.; Ross, John Bifurcation structures of periodically forced oscillators. (English) Zbl 0900.92181 Chaos 1, No. 4, 445-453 (1991). MSC: 92E99 37N99 PDFBibTeX XMLCite \textit{W. N. Vance} and \textit{J. Ross}, Chaos 1, No. 4, 445--453 (1991; Zbl 0900.92181) Full Text: DOI
Glass, Leon Cardiac arrythmias and circle maps – a classical problem. (English) Zbl 0900.92093 Chaos 1, No. 1, 13-19 (1991). MSC: 92C50 92C30 37N99 PDFBibTeX XMLCite \textit{L. Glass}, Chaos 1, No. 1, 13--19 (1991; Zbl 0900.92093) Full Text: DOI
MacKay, R. S.; Tresser, Charles Some flesh on the skeleton: the bifurcation structure of bimodal maps. (English) Zbl 0626.58038 Physica D 27, 412-422 (1987). MSC: 58Z05 37G99 26A18 PDFBibTeX XMLCite \textit{R. S. MacKay} and \textit{C. Tresser}, Physica D 27, 412--422 (1987; Zbl 0626.58038) Full Text: DOI