Chang, Yu; Wang, Xiaoli; Feng, Zhihong; Feng, Wei Bifurcation analysis in a cancer growth model. (English) Zbl 1445.34069 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050024, 15 p. (2020). MSC: 34C60 34C05 34D20 34C23 92C37 34C28 PDFBibTeX XMLCite \textit{Y. Chang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050024, 15 p. (2020; Zbl 1445.34069) Full Text: DOI
Horikawa, Yo; Kitajima, Hiroyuki; Matsushita, Haruna Quasiperiodicity and chaos through Hopf-Hopf bifurcation in minimal ring neural oscillators due to a single shortcut. (English) Zbl 1422.34129 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950065, 19 p. (2019). MSC: 34C15 34C23 92B20 34C05 34C27 92C20 PDFBibTeX XMLCite \textit{Y. Horikawa} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950065, 19 p. (2019; Zbl 1422.34129) Full Text: DOI
Horikawa, Yo; Kitajima, Hiroyuki; Matsushita, Haruna Fold-pitchfork bifurcation, Arnold tongues and multiple chaotic attractors in a minimal network of three sigmoidal neurons. (English) Zbl 1401.34060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1850123, 28 p. (2018). MSC: 34C60 92C20 34C15 34C23 34C28 34C46 34C05 PDFBibTeX XMLCite \textit{Y. Horikawa} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1850123, 28 p. (2018; Zbl 1401.34060) Full Text: DOI
Creaser, Jennifer; Tsaneva-Atanasova, Krasimira; Ashwin, Peter Sequential noise-induced escapes for oscillatory network dynamics. (English) Zbl 1387.60088 SIAM J. Appl. Dyn. Syst. 17, No. 1, 500-525 (2018). Reviewer: Leslaw Socha (Warsaw) MSC: 60H10 60H35 82C26 60G40 60J75 65C30 PDFBibTeX XMLCite \textit{J. Creaser} et al., SIAM J. Appl. Dyn. Syst. 17, No. 1, 500--525 (2018; Zbl 1387.60088) Full Text: DOI arXiv
Chang, Yu; Wang, Xiaoli; Xu, Dashun Bifurcation analysis of a power system model with three machines and four buses. (English) Zbl 1343.34108 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1650082, 12 p. (2016). MSC: 34C60 94C05 34C23 34C05 34C28 PDFBibTeX XMLCite \textit{Y. Chang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1650082, 12 p. (2016; Zbl 1343.34108) Full Text: DOI
Kanai, Y.; Yabuno, H. Creation-annihilation process of limit cycles in the Rayleigh-Duffing oscillator. (English) Zbl 1268.34067 Nonlinear Dyn. 70, No. 2, 1007-1016 (2012). MSC: 34C15 34C23 34C37 34C05 37G15 PDFBibTeX XMLCite \textit{Y. Kanai} and \textit{H. Yabuno}, Nonlinear Dyn. 70, No. 2, 1007--1016 (2012; Zbl 1268.34067) Full Text: DOI
Seo, Gunog; Kot, Mark A comparison of two predator-prey models with Holling’s type I functional response. (English) Zbl 1138.92033 Math. Biosci. 212, No. 2, 161-179 (2008). MSC: 92D40 34C05 34C23 34D20 34C60 PDFBibTeX XMLCite \textit{G. Seo} and \textit{M. Kot}, Math. Biosci. 212, No. 2, 161--179 (2008; Zbl 1138.92033) Full Text: DOI
Adrover, A.; Giona, M. Modal reduction of PDE models by means of snapshot archetypes. (English) Zbl 1040.35089 Physica D 182, No. 1-2, 23-45 (2003). MSC: 35Q53 35J20 35A22 PDFBibTeX XMLCite \textit{A. Adrover} and \textit{M. Giona}, Physica D 182, No. 1--2, 23--45 (2003; Zbl 1040.35089) Full Text: DOI
Stiefenhofer, Matthias Unfolding singularly perturbed Bogdanov points. (English) Zbl 0989.34035 SIAM J. Math. Anal. 32, No. 4, 820-853 (2000). MSC: 34C37 34E15 34C05 PDFBibTeX XMLCite \textit{M. Stiefenhofer}, SIAM J. Math. Anal. 32, No. 4, 820--853 (2000; Zbl 0989.34035) Full Text: DOI
Or-Guil, Michal; Kevrekidis, Ioannis G.; Bär, Markus Stable bound states of pulses in an excitable medium. (English) Zbl 0945.34032 Physica D 135, No. 1-2, 154-174 (2000). Reviewer: Ivan Ginchev (Varna) MSC: 34C60 37N10 34C05 74F10 35K57 76V05 34E13 PDFBibTeX XMLCite \textit{M. Or-Guil} et al., Physica D 135, No. 1--2, 154--174 (2000; Zbl 0945.34032) Full Text: DOI
Hirschberg, P.; Laing, Carlo Successive homoclinic tangencies to a limit cycle. (English) Zbl 0886.34028 Physica D 89, No. 1-2, 1-14 (1995). MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{P. Hirschberg} and \textit{C. Laing}, Physica D 89, No. 1--2, 1--14 (1995; Zbl 0886.34028) Full Text: DOI
Lenas, Petros; Pavlou, Stavros Periodic, quasi-periodic, and chaotic coexistence of two competing microbial populations in a periodically operated chemostat. (English) Zbl 0792.92027 Math. Biosci. 121, No. 1, 61-110 (1994). MSC: 92D40 34C05 92-08 34C23 65C20 92C99 PDFBibTeX XMLCite \textit{P. Lenas} and \textit{S. Pavlou}, Math. Biosci. 121, No. 1, 61--110 (1994; Zbl 0792.92027) Full Text: DOI
Schecter, Stephen Numerical computation of saddle-node homoclinic bifurcation points. (English) Zbl 0779.65051 SIAM J. Numer. Anal. 30, No. 4, 1155-1178 (1993). Reviewer: L.-I.Anita (Iaşi) MSC: 65L15 34C37 PDFBibTeX XMLCite \textit{S. Schecter}, SIAM J. Numer. Anal. 30, No. 4, 1155--1178 (1993; Zbl 0779.65051) Full Text: DOI
Sacks, Elisha P. Automatic analysis of one-parameter planar ordinary differential equations by intelligent numeric simulation. (English) Zbl 0714.65068 Artif. Intell. 48, No. 1, 27-56 (1991). Reviewer: M.Bartušek MSC: 65L05 65C20 37-XX 68T35 34C23 34-04 34C05 PDFBibTeX XMLCite \textit{E. P. Sacks}, Artif. Intell. 48, No. 1, 27--56 (1991; Zbl 0714.65068) Full Text: DOI
Collings, John B.; Wollkind, David J.; Moody, Michael E. Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction. (English) Zbl 0722.92019 Theor. Popul. Biol. 38, No. 2, 159-191 (1990). Reviewer: G.Karakostas (Ioannina) MSC: 92D40 34C05 34C15 92D25 PDFBibTeX XMLCite \textit{J. B. Collings} et al., Theor. Popul. Biol. 38, No. 2, 159--191 (1990; Zbl 0722.92019) Full Text: DOI
Collings, John B.; Wollkind, David J. A global analysis of a temperature-dependent model system for a mite predator-prey interaction. (English) Zbl 0712.92020 SIAM J. Appl. Math. 50, No. 5, 1348-1372 (1990). MSC: 92D40 34C05 37G99 65L07 92D25 PDFBibTeX XMLCite \textit{J. B. Collings} and \textit{D. J. Wollkind}, SIAM J. Appl. Math. 50, No. 5, 1348--1372 (1990; Zbl 0712.92020) Full Text: DOI
Brindley, J.; Kaas-Petersen, C.; Spence, A. Path-following methods in bifurcation problems. (English) Zbl 0667.34042 Physica D 34, No. 3, 456-461 (1989). MSC: 34C05 34-06 34A25 35-06 PDFBibTeX XMLCite \textit{J. Brindley} et al., Physica D 34, No. 3, 456--461 (1989; Zbl 0667.34042) Full Text: DOI
Kaas-Petersen, Christian; Scott, Stephen K. Homoclinic orbits in a simple chemical model of an autocatalytic reaction. (English) Zbl 0659.34044 Physica D 32, No. 3, 461-470 (1988). MSC: 34C25 34C05 PDFBibTeX XMLCite \textit{C. Kaas-Petersen} and \textit{S. K. Scott}, Physica D 32, No. 3, 461--470 (1988; Zbl 0659.34044) Full Text: DOI