Jia, Man; Su, Youfeng; Chen, Hebai Global studies on a continuous planar piecewise linear differential system with three zones. (English) Zbl 1523.34035 Nonlinear Dyn. 111, No. 4, 3539-3573 (2023). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{M. Jia} et al., Nonlinear Dyn. 111, No. 4, 3539--3573 (2023; Zbl 1523.34035) Full Text: DOI
Wang, Zhaoxia; Chen, Hebai; Tang, Yilei The focus case of a nonsmooth Rayleigh-Duffing oscillator. (English) Zbl 1517.34045 Nonlinear Dyn. 107, No. 1, 269-311 (2022). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Dyn. 107, No. 1, 269--311 (2022; Zbl 1517.34045) Full Text: DOI
Tian, Yuzhou; Huang, Bo Local stability and Hopf bifurcations analysis of the Muthuswamy-Chua-Ginoux system. (English) Zbl 1517.34055 Nonlinear Dyn. 109, No. 2, 1135-1151 (2022). MSC: 34C23 34C25 34C29 94C05 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{B. Huang}, Nonlinear Dyn. 109, No. 2, 1135--1151 (2022; Zbl 1517.34055) Full Text: DOI
Cima, Anna; Gasull, Armengol; Mañosa, Víctor A dynamic Parrondo’s paradox for continuous seasonal systems. (English) Zbl 1517.37033 Nonlinear Dyn. 102, No. 2, 1033-1043 (2020). MSC: 37C75 34D20 92D40 PDFBibTeX XMLCite \textit{A. Cima} et al., Nonlinear Dyn. 102, No. 2, 1033--1043 (2020; Zbl 1517.37033) Full Text: DOI arXiv
Benterki, Rebiha; Llibre, Jaume The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems. (English) Zbl 1517.34060 Nonlinear Dyn. 102, No. 4, 2453-2466 (2020). MSC: 34C29 34C25 47H11 34A36 PDFBibTeX XMLCite \textit{R. Benterki} and \textit{J. Llibre}, Nonlinear Dyn. 102, No. 4, 2453--2466 (2020; Zbl 1517.34060) Full Text: DOI
Carvalho, Tiago; Novaes, Douglas Duarte; Gonçalves, Luiz Fernando Sliding Shilnikov connection in Filippov-type predator-prey model. (English) Zbl 1516.92079 Nonlinear Dyn. 100, No. 3, 2973-2987 (2020). MSC: 92D25 37N25 37D45 PDFBibTeX XMLCite \textit{T. Carvalho} et al., Nonlinear Dyn. 100, No. 3, 2973--2987 (2020; Zbl 1516.92079) Full Text: DOI arXiv
Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. (English) Zbl 1439.35529 Nonlinear Dyn. 95, No. 1, 361-368 (2019). MSC: 35R11 35C07 PDFBibTeX XMLCite \textit{A. A. Gaber} et al., Nonlinear Dyn. 95, No. 1, 361--368 (2019; Zbl 1439.35529) Full Text: DOI
Mereu, Ana C.; Oliveira, Regilene; Rodrigues, Camila A. B. Limit cycles for a class of discontinuous piecewise generalized kukles differential systems. (English) Zbl 1398.34032 Nonlinear Dyn. 93, No. 4, 2201-2212 (2018). MSC: 34A36 34C05 34C23 PDFBibTeX XMLCite \textit{A. C. Mereu} et al., Nonlinear Dyn. 93, No. 4, 2201--2212 (2018; Zbl 1398.34032) Full Text: DOI
Barreira, Luis; Llibre, Jaume; Valls, Claudia Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension. (English) Zbl 1398.34044 Nonlinear Dyn. 92, No. 3, 1159-1166 (2018). MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{L. Barreira} et al., Nonlinear Dyn. 92, No. 3, 1159--1166 (2018; Zbl 1398.34044) Full Text: DOI
Chen, Hebai; Llibre, Jaume; Tang, Yilei Global dynamics of a SD oscillator. (English) Zbl 1390.34119 Nonlinear Dyn. 91, No. 3, 1755-1777 (2018). MSC: 34C29 34C25 47H11 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinear Dyn. 91, No. 3, 1755--1777 (2018; Zbl 1390.34119) Full Text: DOI Link
Romanovski, Valery G.; Fernandes, Wilker; Tang, Yilei; Tian, Yun Linearizability and critical period bifurcations of a generalized Riccati system. (English) Zbl 1390.70056 Nonlinear Dyn. 90, No. 1, 257-269 (2017). MSC: 70K42 93B18 70K50 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., Nonlinear Dyn. 90, No. 1, 257--269 (2017; Zbl 1390.70056) Full Text: DOI arXiv
Li, Feng; Liu, Yuanyuan; Yu, Pei Bifurcation of limit cycles at infinity in a class of switching systems. (English) Zbl 1373.34049 Nonlinear Dyn. 88, No. 1, 403-414 (2017). MSC: 34C05 34D08 34C23 PDFBibTeX XMLCite \textit{F. Li} et al., Nonlinear Dyn. 88, No. 1, 403--414 (2017; Zbl 1373.34049) Full Text: DOI
Llibre, Jaume; Teixeira, Marco Antonio Piecewise linear differential systems without equilibria produce limit cycles? (English) Zbl 1373.34050 Nonlinear Dyn. 88, No. 1, 157-164 (2017). MSC: 34C05 34A36 34C29 34C25 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{M. A. Teixeira}, Nonlinear Dyn. 88, No. 1, 157--164 (2017; Zbl 1373.34050) Full Text: DOI Link
Du, Chaoxiong; Liu, Yirong Isochronicity for a \(Z_{2}\)-equivariant cubic system. (English) Zbl 1372.34062 Nonlinear Dyn. 87, No. 2, 1235-1252 (2017). MSC: 34C05 PDFBibTeX XMLCite \textit{C. Du} and \textit{Y. Liu}, Nonlinear Dyn. 87, No. 2, 1235--1252 (2017; Zbl 1372.34062) Full Text: DOI
Yang, Junmin; Zhou, Lina Limit cycle bifurcations in a kind of perturbed Liénard system. (English) Zbl 1349.37052 Nonlinear Dyn. 85, No. 3, 1695-1704 (2016). MSC: 37G15 37C29 34C07 34C37 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Zhou}, Nonlinear Dyn. 85, No. 3, 1695--1704 (2016; Zbl 1349.37052) Full Text: DOI
Oliveira, Regilene; Valls, Claudia Global dynamical aspects of a generalized Chen-Wang differential system. (English) Zbl 1354.34074 Nonlinear Dyn. 84, No. 3, 1497-1516 (2016). MSC: 34C28 34C05 34A34 34C25 34C23 37D45 PDFBibTeX XMLCite \textit{R. Oliveira} and \textit{C. Valls}, Nonlinear Dyn. 84, No. 3, 1497--1516 (2016; Zbl 1354.34074) Full Text: DOI
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. Maximum number of limit cycles for certain piecewise linear dynamical systems. (English) Zbl 1348.34065 Nonlinear Dyn. 82, No. 3, 1159-1175 (2015). MSC: 34C05 34A36 PDFBibTeX XMLCite \textit{J. Llibre} et al., Nonlinear Dyn. 82, No. 3, 1159--1175 (2015; Zbl 1348.34065) Full Text: DOI Link
Udwadia, Firdaus E.; Mylapilli, Harshavardhan Energy control of nonhomogeneous Toda lattices. (English) Zbl 1348.37106 Nonlinear Dyn. 81, No. 3, 1355-1380 (2015). MSC: 37K10 37N35 PDFBibTeX XMLCite \textit{F. E. Udwadia} and \textit{H. Mylapilli}, Nonlinear Dyn. 81, No. 3, 1355--1380 (2015; Zbl 1348.37106) Full Text: DOI
Llibre, Jaume; Oliveira, Regilene D. S.; Valls, Claudia On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system. (English) Zbl 1345.34048 Nonlinear Dyn. 80, No. 1-2, 353-361 (2015). MSC: 34C14 34C23 34C28 34A34 34C25 34C05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Nonlinear Dyn. 80, No. 1--2, 353--361 (2015; Zbl 1345.34048) Full Text: DOI
Miranda Martins, Ricardo; Mereu, Ana Cristina; Oliveira, Regilene D. S. An estimation for the number of limit cycles in a Liénard-like perturbation of a quadratic nonlinear center. (English) Zbl 1331.34045 Nonlinear Dyn. 79, No. 1, 185-194 (2015). MSC: 34C07 34C14 34C20 37J15 37J40 PDFBibTeX XMLCite \textit{R. Miranda Martins} et al., Nonlinear Dyn. 79, No. 1, 185--194 (2015; Zbl 1331.34045) Full Text: DOI
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J. Comments on “Dynamics of the general Lorenz family” by Y. Liu and W. Pang. (English) Zbl 1319.37011 Nonlinear Dyn. 76, No. 1, 887-891 (2014). MSC: 37C10 37C29 37D10 PDFBibTeX XMLCite \textit{A. Algaba} et al., Nonlinear Dyn. 76, No. 1, 887--891 (2014; Zbl 1319.37011) Full Text: DOI
Li, Feng; Qiu, Jianlong; Li, Jing Bifurcation of limit cycles, classification of centers and isochronicity for a class of non-analytic quintic systems. (English) Zbl 1319.37035 Nonlinear Dyn. 76, No. 1, 183-197 (2014); erratum ibid. 76, no. 1, 199 (2014). MSC: 37G15 PDFBibTeX XMLCite \textit{F. Li} et al., Nonlinear Dyn. 76, No. 1, 183--197 (2014; Zbl 1319.37035) Full Text: DOI
Llibre, Jaume; Vidal, Claudio New 1:1:1 periodic solutions in \(3\)-dimensional galactic-type Hamiltonian systems. (English) Zbl 1331.70037 Nonlinear Dyn. 78, No. 2, 969-980 (2014). MSC: 70F15 34C25 34C29 37J45 37J25 37N05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Vidal}, Nonlinear Dyn. 78, No. 2, 969--980 (2014; Zbl 1331.70037) 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
Lima, Maurício F. S.; Llibre, Jaume; Valls, Clàudia Integrability of the Rucklidge system. (English) Zbl 1331.34050 Nonlinear Dyn. 77, No. 4, 1441-1453 (2014). MSC: 34C14 37J30 PDFBibTeX XMLCite \textit{M. F. S. Lima} et al., Nonlinear Dyn. 77, No. 4, 1441--1453 (2014; Zbl 1331.34050) Full Text: DOI Link
Jeffrey, M. R.; Simpson, D. J. W. Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise. (English) Zbl 1306.93024 Nonlinear Dyn. 76, No. 2, 1395-1410 (2014). MSC: 93B35 34A36 PDFBibTeX XMLCite \textit{M. R. Jeffrey} and \textit{D. J. W. Simpson}, Nonlinear Dyn. 76, No. 2, 1395--1410 (2014; Zbl 1306.93024) Full Text: DOI arXiv
Hu, Zhaoping; Aldazharova, Maira; Aldibekov, Tamasha M.; Romanovski, Valery G. Integrability of 3-dim polynomial systems with three invariant planes. (English) Zbl 1284.34003 Nonlinear Dyn. 74, No. 4, 1077-1092 (2013). MSC: 34A05 34C14 34A34 PDFBibTeX XMLCite \textit{Z. Hu} et al., Nonlinear Dyn. 74, No. 4, 1077--1092 (2013; Zbl 1284.34003) Full Text: DOI
Guirao, Juan L. G.; Llibre, Jaume; Vera, Juan A. On the dynamics of the rigid body with a fixed point: periodic orbits and integrability. (English) Zbl 1281.70010 Nonlinear Dyn. 74, No. 1-2, 327-333 (2013). MSC: 70E17 70H12 70E40 PDFBibTeX XMLCite \textit{J. L. G. Guirao} et al., Nonlinear Dyn. 74, No. 1--2, 327--333 (2013; Zbl 1281.70010) Full Text: DOI Link
Chen, Aiyong; Li, Jibin; Huang, Wentao The monotonicity and critical periods of periodic waves of the \(\varphi^{6}\) field model. (English) Zbl 1215.35108 Nonlinear Dyn. 63, No. 1-2, 205-215 (2011). MSC: 35L71 34C25 35B10 35C07 PDFBibTeX XMLCite \textit{A. Chen} et al., Nonlinear Dyn. 63, No. 1--2, 205--215 (2011; Zbl 1215.35108) Full Text: DOI
Yu, Pei; Chen, Guanrong Computation of focus values with applications. (English) Zbl 1170.70306 Nonlinear Dyn. 51, No. 3, 409-427 (2008). MSC: 70-08 70K99 34C07 PDFBibTeX XMLCite \textit{P. Yu} and \textit{G. Chen}, Nonlinear Dyn. 51, No. 3, 409--427 (2008; Zbl 1170.70306) Full Text: DOI