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
Wang, Liqun; Chen, Zengtao; Yang, Guolai A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty. (English) Zbl 1517.37044 Nonlinear Dyn. 101, No. 4, 2489-2508 (2020). MSC: 37D45 34C28 70K55 PDFBibTeX XMLCite \textit{L. Wang} et al., Nonlinear Dyn. 101, No. 4, 2489--2508 (2020; Zbl 1517.37044) Full Text: DOI
Chen, Hebai; Huang, Deqing; Jian, Yupei The saddle case of Rayleigh-Duffing oscillators. (English) Zbl 1398.34047 Nonlinear Dyn. 93, No. 4, 2283-2300 (2018). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinear Dyn. 93, No. 4, 2283--2300 (2018; Zbl 1398.34047) 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
Belozyorov, Vasiliy Ye On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems. (English) Zbl 1392.37033 Nonlinear Dyn. 91, No. 4, 2435-2452 (2018). MSC: 37D45 34C28 PDFBibTeX XMLCite \textit{V. Y. Belozyorov}, Nonlinear Dyn. 91, No. 4, 2435--2452 (2018; Zbl 1392.37033) Full Text: DOI
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations. (English) Zbl 1390.37077 Nonlinear Dyn. 91, No. 1, 81-112 (2018). MSC: 37F10 65H04 PDFBibTeX XMLCite \textit{R. Behl} et al., Nonlinear Dyn. 91, No. 1, 81--112 (2018; Zbl 1390.37077) Full Text: DOI Link
Gdawiec, Krzysztof Fractal patterns from the dynamics of combined polynomial root finding methods. (English) Zbl 1393.28006 Nonlinear Dyn. 90, No. 4, 2457-2479 (2017). MSC: 28A80 65H04 PDFBibTeX XMLCite \textit{K. Gdawiec}, Nonlinear Dyn. 90, No. 4, 2457--2479 (2017; Zbl 1393.28006) Full Text: DOI
de Freitas Virgílio Pereira, Mateus; Balthazar, José Manoel; dos Santos, Davi Antônio; Tusset, Angelo Marcelo; Ferreira de Castro, Davi; Acampora Prado, Igor Afonso A note on polynomial chaos expansions for designing a linear feedback control for nonlinear systems. (English) Zbl 1384.93158 Nonlinear Dyn. 87, No. 3, 1653-1666 (2017). MSC: 93E20 93C10 93B52 37D45 34D06 93D20 34D23 PDFBibTeX XMLCite \textit{M. de Freitas Virgílio Pereira} et al., Nonlinear Dyn. 87, No. 3, 1653--1666 (2017; Zbl 1384.93158) Full Text: DOI
Monfared, Zahra; Afsharnezhad, Z.; Esfahani, J. A. Flutter, limit cycle oscillation, bifurcation and stability regions of an airfoil with discontinuous freeplay nonlinearity. (English) Zbl 1380.34050 Nonlinear Dyn. 90, No. 3, 1965-1986 (2017). MSC: 34C07 34A36 34C25 PDFBibTeX XMLCite \textit{Z. Monfared} et al., Nonlinear Dyn. 90, No. 3, 1965--1986 (2017; Zbl 1380.34050) Full Text: DOI
Farré, Gerard; Sardanyés, Josep; Guillamon, Antoni; Fontich, Ernest Coexistence stability in a four-member hypercycle with error tail through center manifold analysis. (English) Zbl 1380.34049 Nonlinear Dyn. 90, No. 3, 1873-1883 (2017). MSC: 34C07 34B45 PDFBibTeX XMLCite \textit{G. Farré} et al., Nonlinear Dyn. 90, No. 3, 1873--1883 (2017; Zbl 1380.34049) Full Text: DOI Link
Castillo, Juan; Llibre, Jaume; Verduzco, Fernando The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. (English) Zbl 1380.34030 Nonlinear Dyn. 90, No. 3, 1829-1840 (2017). MSC: 34A36 34C23 34C07 37G10 PDFBibTeX XMLCite \textit{J. Castillo} et al., Nonlinear Dyn. 90, No. 3, 1829--1840 (2017; Zbl 1380.34030) Full Text: DOI Link
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
Liu, Shutang; Liu, Ping; Liu, Jian; Wang, Leyuan Spatial chaos on surface and its associated bifurcation and Feigenbaum problem. (English) Zbl 1347.34069 Nonlinear Dyn. 81, No. 1-2, 283-298 (2015). MSC: 34C28 34C23 34D06 37D45 PDFBibTeX XMLCite \textit{S. Liu} et al., Nonlinear Dyn. 81, No. 1--2, 283--298 (2015; Zbl 1347.34069) Full Text: DOI
Dai, Honghua; Yue, Xiaokui; Yuan, Jianping; Xie, Dan; Atluri, S. N. A comparison of classical Runge-Kutta and Henon’s methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity. (English) Zbl 1431.74042 Nonlinear Dyn. 81, No. 1-2, 169-188 (2015). MSC: 74F10 65L06 37M05 65P20 PDFBibTeX XMLCite \textit{H. Dai} et al., Nonlinear Dyn. 81, No. 1--2, 169--188 (2015; Zbl 1431.74042) Full Text: DOI
Ma, Shao-juan; Dong, Duan; Yang, Mao-song Stochastic Hopf bifurcation analysis in a stochastic lagged logistic discrete-time system with Poisson distribution coefficient. (English) Zbl 1345.39011 Nonlinear Dyn. 80, No. 1-2, 269-279 (2015). MSC: 39A50 39A28 39A30 37M05 37H10 PDFBibTeX XMLCite \textit{S.-j. Ma} et al., Nonlinear Dyn. 80, No. 1--2, 269--279 (2015; Zbl 1345.39011) 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
Liang, Haihua; Huang, Jianfeng; Zhao, Yulin Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems. (English) Zbl 1345.34068 Nonlinear Dyn. 78, No. 3, 1659-1681 (2014). MSC: 34C20 34C07 PDFBibTeX XMLCite \textit{H. Liang} et al., Nonlinear Dyn. 78, No. 3, 1659--1681 (2014; Zbl 1345.34068) Full Text: DOI
Liu, Dasheng; Yan, Guozheng Stabilization of discrete-time chaotic systems via improved periodic delayed feedback control based on polynomial matrix right coprime factorization. (English) Zbl 1284.93186 Nonlinear Dyn. 74, No. 4, 1243-1252 (2013). MSC: 93D15 34C28 93C55 93B52 PDFBibTeX XMLCite \textit{D. Liu} and \textit{G. Yan}, Nonlinear Dyn. 74, No. 4, 1243--1252 (2013; Zbl 1284.93186) Full Text: DOI
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
Kong, Xiaona; Xiong, Yanqin Limit cycle bifurcations in a class of quintic \(Z_2\)-equivariant polynomial systems. (English) Zbl 1281.34042 Nonlinear Dyn. 73, No. 3, 1271-1281 (2013). MSC: 34C07 37G40 34C23 PDFBibTeX XMLCite \textit{X. Kong} and \textit{Y. Xiong}, Nonlinear Dyn. 73, No. 3, 1271--1281 (2013; Zbl 1281.34042) Full Text: DOI
Feng, Li Limit cycles and integrability in a class of system with a high-order critical point. (English) Zbl 1281.34041 Nonlinear Dyn. 73, No. 1-2, 665-670 (2013). MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{L. Feng}, Nonlinear Dyn. 73, No. 1--2, 665--670 (2013; Zbl 1281.34041) Full Text: DOI
Ma, Shao-Juan; Shen, Qiong; Hou, Jing Modified projective synchronization of stochastic fractional order chaotic systems with uncertain parameters. (English) Zbl 1281.34095 Nonlinear Dyn. 73, No. 1-2, 93-100 (2013). MSC: 34D06 34C28 34A08 93E03 PDFBibTeX XMLCite \textit{S.-J. Ma} et al., Nonlinear Dyn. 73, No. 1--2, 93--100 (2013; Zbl 1281.34095) Full Text: DOI
Wang, Yu-Feng; Tian, Bo; Wang, Pan; Li, Min; Jiang, Yan Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation. (English) Zbl 1263.35177 Nonlinear Dyn. 69, No. 4, 2031-2040 (2012). MSC: 35Q30 35Q40 35C08 33B10 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., Nonlinear Dyn. 69, No. 4, 2031--2040 (2012; Zbl 1263.35177) Full Text: DOI
El-Danaf, Talaat S.; Ramadan, Mohamed A.; Abd Alaal, Faisal E. I. Numerical studies of the cubic non-linear Schrödinger equation. (English) Zbl 1246.65186 Nonlinear Dyn. 67, No. 1, 619-627 (2012). MSC: 65M70 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{T. S. El-Danaf} et al., Nonlinear Dyn. 67, No. 1, 619--627 (2012; Zbl 1246.65186) Full Text: DOI
Xu, Yong; Ma, Shaojuan; Zhang, Huiqing Hopf bifurcation control for stochastic dynamical system with nonlinear random feedback method. (English) Zbl 1235.93231 Nonlinear Dyn. 65, No. 1-2, 77-84 (2011). MSC: 93E03 93C15 93B52 PDFBibTeX XMLCite \textit{Y. Xu} et al., Nonlinear Dyn. 65, No. 1--2, 77--84 (2011; Zbl 1235.93231) Full Text: DOI
Bonnin, Michele Existence, number, and stability of limit cycles in weakly dissipative, strongly nonlinear oscillators. (English) Zbl 1219.34043 Nonlinear Dyn. 62, No. 1-2, 321-332 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C07 34C08 34C15 34C05 34C23 37G15 PDFBibTeX XMLCite \textit{M. Bonnin}, Nonlinear Dyn. 62, No. 1--2, 321--332 (2010; Zbl 1219.34043) Full Text: DOI HAL
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
White, S. W.; Kim, S. K.; Bajaj, A. K.; Davies, P.; Showers, D. K.; Liedtke, P. E. Experimental techniques and identification of nonlinear and viscoelastic properties of flexible polyurethane foam. (English) Zbl 0973.74511 Nonlinear Dyn. 22, No. 3, 281-313 (2000). MSC: 74-05 74D05 PDFBibTeX XMLCite \textit{S. W. White} et al., Nonlinear Dyn. 22, No. 3, 281--313 (2000; Zbl 0973.74511) Full Text: DOI
Er, Guo-Kang An improved closure method for analysis of nonlinear stochastic systems. (English) Zbl 0923.70019 Nonlinear Dyn. 17, No. 3, 285-297 (1998). MSC: 70L05 60H10 PDFBibTeX XMLCite \textit{G.-K. Er}, Nonlinear Dyn. 17, No. 3, 285--297 (1998; Zbl 0923.70019) Full Text: DOI