Kuznetsov, N. V.; Mokaev, T. N.; Kuznetsova, O. A.; Kudryashova, E. V. The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension. (English) Zbl 1517.34081 Nonlinear Dyn. 102, No. 2, 713-732 (2020). MSC: 34D45 37D45 93B52 PDFBibTeX XMLCite \textit{N. V. Kuznetsov} et al., Nonlinear Dyn. 102, No. 2, 713--732 (2020; Zbl 1517.34081) Full Text: DOI
Cao, Zhenbang; Zhang, Xiaoming; Li, Denghui; Yin, Shan; Xie, Jianhua Existence of invariant curves for a Fermi-type impact absorber. (English) Zbl 1434.70045 Nonlinear Dyn. 99, No. 4, 2647-2656 (2020). MSC: 70H33 34C14 PDFBibTeX XMLCite \textit{Z. Cao} et al., Nonlinear Dyn. 99, No. 4, 2647--2656 (2020; Zbl 1434.70045) Full Text: DOI
Wang, Lei; Yang, Xiao-Song Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems. (English) Zbl 1430.37025 Nonlinear Dyn. 97, No. 4, 2469-2481 (2019). MSC: 37C27 37D45 37C29 PDFBibTeX XMLCite \textit{L. Wang} and \textit{X.-S. Yang}, Nonlinear Dyn. 97, No. 4, 2469--2481 (2019; Zbl 1430.37025) Full Text: DOI arXiv
Stankevich, Nataliya; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator. (English) Zbl 1430.37042 Nonlinear Dyn. 97, No. 4, 2355-2370 (2019). MSC: 37D45 37G10 PDFBibTeX XMLCite \textit{N. Stankevich} et al., Nonlinear Dyn. 97, No. 4, 2355--2370 (2019; Zbl 1430.37042) Full Text: DOI
Yang, Qigui; Lu, Kai Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems. (English) Zbl 1398.34064 Nonlinear Dyn. 93, No. 4, 2445-2459 (2018). MSC: 34C37 34C28 37C29 37D45 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{K. Lu}, Nonlinear Dyn. 93, No. 4, 2445--2459 (2018; Zbl 1398.34064) Full Text: DOI
Yang, Qigui; Yang, Ting Complex dynamics in a generalized Langford system. (English) Zbl 1392.37034 Nonlinear Dyn. 91, No. 4, 2241-2270 (2018). MSC: 37D45 37G10 37G05 37C29 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{T. Yang}, Nonlinear Dyn. 91, No. 4, 2241--2270 (2018; Zbl 1392.37034) Full Text: DOI
Yang, Yi; Liao, Xiaofeng; Dong, Tao Anti-control of Hopf bifurcation in the Shimizu-Morioka system using an explicit criterion. (English) Zbl 1384.34075 Nonlinear Dyn. 89, No. 2, 1453-1461 (2017). MSC: 34H10 37G10 34C05 93B52 34C25 PDFBibTeX XMLCite \textit{Y. Yang} et al., Nonlinear Dyn. 89, No. 2, 1453--1461 (2017; Zbl 1384.34075) Full Text: DOI
Liu, Xingbo Generic unfolding of a degenerate heterodimensional cycle. (English) Zbl 1384.34050 Nonlinear Dyn. 89, No. 2, 833-850 (2017). MSC: 34C37 37C29 34C23 PDFBibTeX XMLCite \textit{X. Liu}, Nonlinear Dyn. 89, No. 2, 833--850 (2017; Zbl 1384.34050) Full Text: DOI
Leonov, G. A. Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations. (English) Zbl 1354.37033 Nonlinear Dyn. 84, No. 2, 1055-1062 (2016). MSC: 37C29 34C37 37D45 37G10 PDFBibTeX XMLCite \textit{G. A. Leonov}, Nonlinear Dyn. 84, No. 2, 1055--1062 (2016; Zbl 1354.37033) Full Text: DOI
Gouveia, Márcio R. A.; Messias, Marcelo; Pessoa, Claudio Bifurcations at infinity, invariant algebraic surfaces, homoclinic and heteroclinic orbits and centers of a new Lorenz-like chaotic system. (English) Zbl 1354.37032 Nonlinear Dyn. 84, No. 2, 703-713 (2016). MSC: 37C29 37D45 37B55 PDFBibTeX XMLCite \textit{M. R. A. Gouveia} et al., Nonlinear Dyn. 84, No. 2, 703--713 (2016; Zbl 1354.37032) Full Text: DOI Link
Llibre, Jaume; Pessoa, Claudio The Hopf bifurcation in the Shimizu-Morioka system. (English) Zbl 1331.34067 Nonlinear Dyn. 79, No. 3, 2197-2205 (2015). MSC: 34C23 34D08 34D20 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Pessoa}, Nonlinear Dyn. 79, No. 3, 2197--2205 (2015; Zbl 1331.34067) Full Text: DOI
Liu, Xingbo; Xu, Yancong; Wang, Sisi Heterodimensional cycle bifurcation with two orbit flips. (English) Zbl 1331.34066 Nonlinear Dyn. 79, No. 4, 2787-2804 (2015). MSC: 34C23 34C37 37C29 37G15 34D10 PDFBibTeX XMLCite \textit{X. Liu} et al., Nonlinear Dyn. 79, No. 4, 2787--2804 (2015; Zbl 1331.34066) Full Text: DOI
Wang, Zhen; Wei, Zhouchao; Xi, Xiaojian; Li, Yongxin Dynamics of a 3D autonomous quadratic system with an invariant algebraic surface. (English) Zbl 1331.34044 Nonlinear Dyn. 77, No. 4, 1503-1518 (2014). MSC: 34C05 34C23 37D45 37C29 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Dyn. 77, No. 4, 1503--1518 (2014; Zbl 1331.34044) Full Text: DOI
Kingni, Sifeu Takougang; Keuninckx, Lars; Woafo, Paul; Der Sande, Guy Van; Danckaert, Jan Dissipative chaos, Shilnikov chaos and bursting oscillations in a three-dimensional autonomous system: theory and electronic implementation. (English) Zbl 1281.34069 Nonlinear Dyn. 73, No. 1-2, 1111-1123 (2013). MSC: 34C28 34C15 37D45 37J45 PDFBibTeX XMLCite \textit{S. T. Kingni} et al., Nonlinear Dyn. 73, No. 1--2, 1111--1123 (2013; Zbl 1281.34069) Full Text: DOI
Shilnikov, Andrey Complete dynamical analysis of a neuron model. (English) Zbl 1254.37058 Nonlinear Dyn. 68, No. 3, 305-328 (2012). MSC: 37N25 92C20 92B20 34K60 PDFBibTeX XMLCite \textit{A. Shilnikov}, Nonlinear Dyn. 68, No. 3, 305--328 (2012; Zbl 1254.37058) Full Text: DOI
Messias, Marcelo; Gouveia, Márcio R. Alves; Pessoa, Claudio Dynamics at infinity and other global dynamical aspects of Shimizu-Morioka equations. (English) Zbl 1256.37007 Nonlinear Dyn. 69, No. 1-2, 577-587 (2012). MSC: 37C10 37C29 PDFBibTeX XMLCite \textit{M. Messias} et al., Nonlinear Dyn. 69, No. 1--2, 577--587 (2012; Zbl 1256.37007) Full Text: DOI
Algaba, Antonio; Merino, Manuel; Rodríguez-Luis, Alejandro J. Analysis of a Belyakov homoclinic connection with \(\mathbb Z_2\)-symmetry. (English) Zbl 1268.37017 Nonlinear Dyn. 69, No. 1-2, 519-529 (2012). MSC: 37C29 37C10 PDFBibTeX XMLCite \textit{A. Algaba} et al., Nonlinear Dyn. 69, No. 1--2, 519--529 (2012; Zbl 1268.37017) Full Text: DOI
Alonso, Diego M.; Paolini, Eduardo E.; Moiola, Jorge L. Global bifurcation analysis of a controlled underactuated mechanical system. (English) Zbl 1122.70022 Nonlinear Dyn. 40, No. 3, 205-225 (2005). Reviewer: Hans Troger (Wien) MSC: 70Q05 70K50 37N05 PDFBibTeX XMLCite \textit{D. M. Alonso} et al., Nonlinear Dyn. 40, No. 3, 205--225 (2005; Zbl 1122.70022) Full Text: DOI