Zhang, Fuchen; Xu, Fei; Zhang, Xu Qualitative behaviors of a four-dimensional Lorenz system. (English) Zbl 07814453 J. Phys. A, Math. Theor. 57, No. 9, Article ID 095201, 22 p. (2024). MSC: 37D45 34C28 PDFBibTeX XMLCite \textit{F. Zhang} et al., J. Phys. A, Math. Theor. 57, No. 9, Article ID 095201, 22 p. (2024; Zbl 07814453) Full Text: DOI
Zhang, Fuchen; Zhou, Ping; Chen, Xiusu; Chen, Rui; Mu, Chunlai Chaotic dynamics in generalized Rabinovich system. (English) Zbl 1464.37052 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2150036, 12 p. (2021). MSC: 37G35 37M20 37M22 37D45 PDFBibTeX XMLCite \textit{F. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2150036, 12 p. (2021; Zbl 1464.37052) Full Text: DOI
Feng, Chunsheng; Li, Lijie; Liu, Yongjian; Wei, Zhouchao Global dynamics of the chaotic disk dynamo system driven by noise. (English) Zbl 1441.37095 Complexity 2020, Article ID 8375324, 9 p. (2020). MSC: 37N05 37D45 70K20 70K55 PDFBibTeX XMLCite \textit{C. Feng} et al., Complexity 2020, Article ID 8375324, 9 p. (2020; Zbl 1441.37095) Full Text: DOI
Zhang, Fuchen Analysis of a Lorenz-like chaotic system by Lyapunov functions. (English) Zbl 1420.37024 Complexity 2019, Article ID 7812769, 6 p. (2019). MSC: 37D45 PDFBibTeX XMLCite \textit{F. Zhang}, Complexity 2019, Article ID 7812769, 6 p. (2019; Zbl 1420.37024) Full Text: DOI
Wang, Haijun; Li, Xianyi A note on “Hopf bifurcation analysis and ultimate bound estimation of a new 4-d quadratic autonomous hyper-chaotic system” in [Appl. Math. Comput. 291 (2016) 323-339] by Amin Zarei and Saeed Tavakoli. (English) Zbl 1427.37029 Appl. Math. Comput. 329, 1-4 (2018). MSC: 37D45 34C28 34D45 34C11 34C23 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Li}, Appl. Math. Comput. 329, 1--4 (2018; Zbl 1427.37029) Full Text: DOI
Zhang, Fuchen; Chen, Rui; Wang, Xingyuan; Chen, Xiusu; Mu, Chunlai; Liao, Xiaofeng Dynamics of a new 5D hyperchaotic system of Lorenz type. (English) Zbl 1388.34039 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1850036, 12 p. (2018). MSC: 34C28 34A34 34D45 34C11 34D08 37D45 PDFBibTeX XMLCite \textit{F. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1850036, 12 p. (2018; Zbl 1388.34039) Full Text: DOI
Liao, Xiaoxin; Zhou, Guopeng; Yang, Qigui; Fu, Yuli; Chen, Guanrong Constructive proof of Lagrange stability and sufficient – necessary conditions of Lyapunov stability for Yang-Chen chaotic system. (English) Zbl 1411.34078 Appl. Math. Comput. 309, 205-221 (2017). MSC: 34D20 37C75 37D45 PDFBibTeX XMLCite \textit{X. Liao} et al., Appl. Math. Comput. 309, 205--221 (2017; Zbl 1411.34078) Full Text: DOI
Zhang, Fuchen; Liao, Xiaofeng; Zhang, Guangyun; Mu, Chunlai; Xiao, Min; Zhou, Ping Dynamical behaviors of a generalized Lorenz family. (English) Zbl 1372.65329 Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 3707-3720 (2017). MSC: 65P20 65P30 65P40 PDFBibTeX XMLCite \textit{F. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 3707--3720 (2017; Zbl 1372.65329) Full Text: DOI
Zhang, Fuchen; Liao, Xiaofeng; Mu, Chunlai; Zhang, Guangyun; Chen, Yi-An On global boundedness of the Chen system. (English) Zbl 1362.65137 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1673-1681 (2017). MSC: 65P20 37D45 37C70 65P30 65P40 PDFBibTeX XMLCite \textit{F. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1673--1681 (2017; Zbl 1362.65137) Full Text: DOI
Zhang, Fuchen; Li, Kunqiong; Zhang, Guangyun; Mu, Chunlai Qualitative analysis of a new Lorenz-type chaotic system and its simulation. (English) Zbl 1375.37112 Math. Methods Appl. Sci. 40, No. 1, 31-39 (2017). MSC: 37D45 34D45 PDFBibTeX XMLCite \textit{F. Zhang} et al., Math. Methods Appl. Sci. 40, No. 1, 31--39 (2017; Zbl 1375.37112) Full Text: DOI
Zhang, Fuchen; Zhang, Guangyun Further results on ultimate bound on the trajectories of the Lorenz system. (English) Zbl 1338.65275 Qual. Theory Dyn. Syst. 15, No. 1, 221-235 (2016). MSC: 65P30 65P40 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{G. Zhang}, Qual. Theory Dyn. Syst. 15, No. 1, 221--235 (2016; Zbl 1338.65275) Full Text: DOI
Zhang, Fuchen; Wang, Xingyuan; Mu, Chunlai; Zhang, Guangyun Bounds for the fast-slow Lorenz-Stenflo system. (English) Zbl 1331.34080 Nonlinear Dyn. 79, No. 1, 539-547 (2015). MSC: 34C41 34C28 37M05 37D45 PDFBibTeX XMLCite \textit{F. Zhang} et al., Nonlinear Dyn. 79, No. 1, 539--547 (2015; Zbl 1331.34080) Full Text: DOI
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J. Comment on “A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family”. (English) Zbl 1470.37040 Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 758-761 (2014). MSC: 37C70 34D45 37D45 PDFBibTeX XMLCite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 758--761 (2014; Zbl 1470.37040) Full Text: DOI
Wang, Jiezhi; Zhang, Qing; Chen, Zengqiang; Li, Hang Ultimate bound of a 3D chaotic system and its application in chaos synchronization. (English) Zbl 1406.93137 Abstr. Appl. Anal. 2014, Article ID 781594, 9 p. (2014). MSC: 93C05 93C10 93C15 37D45 PDFBibTeX XMLCite \textit{J. Wang} et al., Abstr. Appl. Anal. 2014, Article ID 781594, 9 p. (2014; Zbl 1406.93137) Full Text: DOI
Zhang, Fuchen; Wang, Xingyuan; Xiao, Min; Sun, Xiangkai On the new results of global exponential attractive sets of the T chaotic system. (English) Zbl 1300.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 7, Article ID 1450091, 8 p. (2014). MSC: 34A34 34D05 34D45 34C28 PDFBibTeX XMLCite \textit{F. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 7, Article ID 1450091, 8 p. (2014; Zbl 1300.34030) Full Text: DOI
Huang, Zaitang; Cao, Junfei; Jiang, Ting Dynamics of stochastic Lorenz family of chaotic systems with jump. (English) Zbl 1312.37038 J. Math. Chem. 52, No. 2, 754-774 (2014). MSC: 37H10 PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Math. Chem. 52, No. 2, 754--774 (2014; Zbl 1312.37038) Full Text: DOI
Zhang, Fuchen; Mu, Chunlai; Wang, Liangwei; Wang, Xingyuan; Yao, Xianzhong Estimations for ultimate boundary of a new hyperchaotic system and its simulation. (English) Zbl 1282.34051 Nonlinear Dyn. 75, No. 3, 529-537 (2014). MSC: 34C28 34D45 PDFBibTeX XMLCite \textit{F. Zhang} et al., Nonlinear Dyn. 75, No. 3, 529--537 (2014; Zbl 1282.34051) Full Text: DOI
Jian, Jigui; Zhao, Zhihua New estimations for ultimate boundary and synchronization control for a disk dynamo system. (English) Zbl 1287.93059 Nonlinear Anal., Hybrid Syst. 9, 56-66 (2013). MSC: 93D05 93B52 93C05 34H10 93C95 PDFBibTeX XMLCite \textit{J. Jian} and \textit{Z. Zhao}, Nonlinear Anal., Hybrid Syst. 9, 56--66 (2013; Zbl 1287.93059) Full Text: DOI
Wang, Pei; Zhang, Yuhuan; Tan, Shaolin; Wan, Li Explicit ultimate bound sets of a new hyperchaotic system and its application in estimating the Hausdorff dimension. (English) Zbl 1281.34076 Nonlinear Dyn. 74, No. 1-2, 133-142 (2013). MSC: 34C28 34D45 37F35 PDFBibTeX XMLCite \textit{P. Wang} et al., Nonlinear Dyn. 74, No. 1--2, 133--142 (2013; Zbl 1281.34076) Full Text: DOI
Zhao, Xinquan; Jiang, Feng; Hu, Junhao Globally exponentially attractive sets and positive invariant sets of three-dimensional autonomous systems with only cross-product nonlinearities. (English) Zbl 1270.34160 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 1, Article ID 1350007, 14 p. (2013). MSC: 34D45 34A34 34C28 PDFBibTeX XMLCite \textit{X. Zhao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 1, Article ID 1350007, 14 p. (2013; Zbl 1270.34160) Full Text: DOI
Zhao, Xinquan; Jiang, Feng; Zhang, Zhigang; Hu, Junhao A new series of three-dimensional chaotic systems with cross-product nonlinearities and their switching. (English) Zbl 1266.34075 J. Appl. Math. 2013, Article ID 590421, 14 p. (2013). MSC: 34C28 34D45 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Appl. Math. 2013, Article ID 590421, 14 p. (2013; Zbl 1266.34075) Full Text: DOI
Wang, Pei; Li, Damei; Wu, Xiaoqun; Lü, Jinhu; Yu, Xinghuo Ultimate bound estimation of a class of high dimensional quadratic autonomous dynamical systems. (English) Zbl 1248.34084 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 9, 2679-2694 (2011). MSC: 34D45 34C11 34C28 PDFBibTeX XMLCite \textit{P. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 9, 2679--2694 (2011; Zbl 1248.34084) Full Text: DOI
Yu, P.; Liao, X. X.; Xie, S. L.; Fu, Y. L. A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family. (English) Zbl 1221.37047 Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 2886-2896 (2009). MSC: 37C70 34D45 37D45 PDFBibTeX XMLCite \textit{P. Yu} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 2886--2896 (2009; Zbl 1221.37047) Full Text: DOI
Lorenz, Edward N. Deterministic nonperiodic flow. (English) Zbl 1417.37129 J. Atmos. Sci. 20, No. 2, 130-141 (1963). MSC: 37D45 37N10 86A10 PDFBibTeX XMLCite \textit{E. N. Lorenz}, J. Atmos. Sci. 20, No. 2, 130--141 (1963; Zbl 1417.37129) Full Text: DOI