Inaba, Naohiko; Tsubone, Tadashi; Ito, Hidetaka; Okazaki, Hideaki; Yoshinaga, Tetsuya Nested mixed-mode oscillations. III: Comparison of bifurcation structures between a driven Bonhoeffer-van der Pol oscillator and Nagumo-Sato piecewise-linear discontinuous one-dimensional map. (English) Zbl 1518.34057 Physica D 446, Article ID 133667, 13 p. (2023). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C60 34C15 34C23 34C26 94C05 94C60 34E15 37E05 PDFBibTeX XMLCite \textit{N. Inaba} et al., Physica D 446, Article ID 133667, 13 p. (2023; Zbl 1518.34057) Full Text: DOI
Messias, Marcelo; Maciel, Anderson L. On the existence of limit cycles and relaxation oscillations in a 3D van der Pol-like memristor oscillator. (English) Zbl 1370.34088 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750102, 17 p. (2017). MSC: 34C60 34A36 34C26 94C05 34C05 PDFBibTeX XMLCite \textit{M. Messias} and \textit{A. L. Maciel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750102, 17 p. (2017; Zbl 1370.34088) Full Text: DOI
Itoh, Makoto; Chua, Leon Dynamics of Hamiltonian systems and memristor circuits. (English) Zbl 1362.37105 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1730005, 66 p. (2017). MSC: 37J05 34C60 94C05 PDFBibTeX XMLCite \textit{M. Itoh} and \textit{L. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1730005, 66 p. (2017; Zbl 1362.37105) Full Text: DOI
Srinivasan, K.; Chandrasekar, V. K.; Venkatesan, A.; Raja Mohamed, I. Duffing-van der Pol oscillator type dynamics in Murali-Lakshmanan-Chua (MLC) circuit. (English) Zbl 1355.94100 Chaos Solitons Fractals 82, 60-71 (2016). MSC: 94C05 37N20 37M05 34C60 34C28 PDFBibTeX XMLCite \textit{K. Srinivasan} et al., Chaos Solitons Fractals 82, 60--71 (2016; Zbl 1355.94100) Full Text: DOI
Itoh, Makoto; Chua, Leon O. Parasitic effects on memristor dynamics. (English) Zbl 1343.34113 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 6, Article ID 1630014, 55 p. (2016). MSC: 34C60 94C05 34C26 PDFBibTeX XMLCite \textit{M. Itoh} and \textit{L. O. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 6, Article ID 1630014, 55 p. (2016; Zbl 1343.34113) Full Text: DOI
Fu, Xilin; Zheng, Shasha Chatter dynamic analysis for Van der Pol equation with impulsive effect via the theory of flow switchability. (English) Zbl 1510.94097 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3023-3035 (2014). MSC: 94C05 94C60 94C11 34A36 34A37 PDFBibTeX XMLCite \textit{X. Fu} and \textit{S. Zheng}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3023--3035 (2014; Zbl 1510.94097) Full Text: DOI
Lu, Yimin; Huang, Xianfeng; He, Shaobin; Wang, Dongdong; Zhang, Bo Memristor based van der Pol oscillation circuit. (English) Zbl 1305.34074 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 12, Article ID 1450154, 15 p. (2014). MSC: 34C60 94C05 34C28 34C15 PDFBibTeX XMLCite \textit{Y. Lu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 12, Article ID 1450154, 15 p. (2014; Zbl 1305.34074) Full Text: DOI
Pulch, R. Multi time scale differential equations for simulating frequency modulated signals. (English) Zbl 1069.65103 Appl. Numer. Math. 53, No. 2-4, 421-436 (2005). MSC: 65M25 35R10 94A12 94C05 PDFBibTeX XMLCite \textit{R. Pulch}, Appl. Numer. Math. 53, No. 2--4, 421--436 (2005; Zbl 1069.65103) Full Text: DOI
Buonomo, A. The periodic solution of van der Pol’s equation. (English) Zbl 0920.34013 SIAM J. Appl. Math. 59, No. 1, 156-171 (1999). MSC: 34A34 34E05 34E10 94C05 34A25 PDFBibTeX XMLCite \textit{A. Buonomo}, SIAM J. Appl. Math. 59, No. 1, 156--171 (1999; Zbl 0920.34013) Full Text: DOI
Abdelkader, Mostafa A. Relaxation oscillators with exact limit cycles. (English) Zbl 0889.34031 J. Math. Anal. Appl. 218, No. 1, 308-312 (1998). MSC: 34C15 94C30 34C05 PDFBibTeX XMLCite \textit{M. A. Abdelkader}, J. Math. Anal. Appl. 218, No. 1, 308--312 (1998; Zbl 0889.34031) Full Text: DOI
Noack, Bernd R.; Ohle, Frank; Eckelmann, Helmut Construction and analysis of differential equations from experimental time series of oscillatory systems. (English) Zbl 0754.34034 Physica D 56, No. 4, 389-405 (1992). MSC: 34C23 34C25 34A55 34C15 35Q30 76D25 94A12 PDFBibTeX XMLCite \textit{B. R. Noack} et al., Physica D 56, No. 4, 389--405 (1992; Zbl 0754.34034) Full Text: DOI
Bernstein, G. M.; Chua, L. O. Weakly non-linear oscillator circuits and averaging: A general approach. (English) Zbl 0639.94012 Int. J. Circuit Theory Appl. 15, 251-269 (1987). Reviewer: W.Szkudlinski MSC: 94C05 34C15 37-XX 34C29 PDFBibTeX XMLCite \textit{G. M. Bernstein} and \textit{L. O. Chua}, Int. J. Circuit Theory Appl. 15, 251--269 (1987; Zbl 0639.94012) Full Text: DOI
Kurzweil, Jaroslav Ordinary differential equations. Introduction to the theory of ordinary differential equations in the real domain. Transl. from the Czech by Michal Basch. (English) Zbl 0667.34002 Studies in Applied Mechanics, 13. Amsterdam etc.: Elsevier; Prague: SNTL Publishers of Technical Literature. 440 p. (1986). Reviewer: C.Mira MSC: 34-01 34Axx 34Bxx 94Cxx 34Dxx PDFBibTeX XML
Gomozov, V. I. An improved mathematical model of self-oscillation. (Russian) Zbl 0617.34021 Mat. Fiz. Nelinejnaya Mekh. 6(40), 1-6 (1986). Reviewer: E.Ihle MSC: 34C10 94C05 34A34 PDFBibTeX XMLCite \textit{V. I. Gomozov}, Mat. Fiz. Nelineĭn. Mekh. 6(40), 1--6 (1986; Zbl 0617.34021)
Hoppensteadt, F. C. Electrical models of neurons. (English) Zbl 0459.92006 Mathematical aspects of physiology, Proc. 12th Summer Semin. Appl. Math., Univ. Utah, Salt Lake City 1980, Lect. Appl. Math. 19, 327-344 (1981). MSC: 92Cxx 34Cxx 94C99 PDFBibTeX XML