Sahoo, Shilalipi; Roy, Binoy Krishna Design of multi-wing chaotic systems with higher largest Lyapunov exponent. (English) Zbl 1498.94109 Chaos Solitons Fractals 157, Article ID 111926, 7 p. (2022). MSC: 94C30 34H05 34H10 PDF BibTeX XML Cite \textit{S. Sahoo} and \textit{B. K. Roy}, Chaos Solitons Fractals 157, Article ID 111926, 7 p. (2022; Zbl 1498.94109) Full Text: DOI
Zhang, Jiangang; Liang, Xiangling; Qiao, Shuai; He, Meijuan; An, Xinlei Stochastic stability and bifurcation of centrifugal governor system subject to color noise. (English) Zbl 1509.70029 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250061, 24 p. (2022). MSC: 70L05 70K20 70K55 70-08 PDF BibTeX XML Cite \textit{J. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250061, 24 p. (2022; Zbl 1509.70029) Full Text: DOI
Csernák, Gábor; Licskó, Gábor Asymmetric and chaotic responses of dry friction oscillators with different static and kinetic coefficients of friction. (English) Zbl 07721822 Meccanica 56, No. 9, 2401-2414 (2021). MSC: 70K55 70K50 70F40 PDF BibTeX XML Cite \textit{G. Csernák} and \textit{G. Licskó}, Meccanica 56, No. 9, 2401--2414 (2021; Zbl 07721822) Full Text: DOI
Zhou, Shuang; Wang, Xingyuan Simple estimation method for the largest Lyapunov exponent of continuous fractional-order differential equations. (English) Zbl 07574001 Physica A 563, Article ID 125478, 11 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{S. Zhou} and \textit{X. Wang}, Physica A 563, Article ID 125478, 11 p. (2021; Zbl 07574001) Full Text: DOI
Shen, Yunzhu; Zhang, Yongxiang; Xu, Huidong Strange nonchaotic attractors in a quasiperiodically forced articulated mooring tower model. (English) Zbl 1498.37060 Fractals 29, No. 8, Article ID 2150265, 14 p. (2021). MSC: 37D45 70K43 28A80 PDF BibTeX XML Cite \textit{Y. Shen} et al., Fractals 29, No. 8, Article ID 2150265, 14 p. (2021; Zbl 1498.37060) Full Text: DOI
Han, Yanyan; Ding, Jianpeng; Du, Lin; Lei, Youming Control and anti-control of chaos based on the moving largest Lyapunov exponent using reinforcement learning. (English) Zbl 07479409 Physica D 428, Article ID 133068, 12 p. (2021). MSC: 68-XX 37-XX PDF BibTeX XML Cite \textit{Y. Han} et al., Physica D 428, Article ID 133068, 12 p. (2021; Zbl 07479409) Full Text: DOI
Butusov, Denis N.; Pesterev, Dmitriy O.; Tutueva, Aleksandra V.; Kaplun, Dmitry I.; Nepomuceno, Erivelton G. New technique to quantify chaotic dynamics based on differences between semi-implicit integration schemes. (English) Zbl 1457.34068 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105467, 16 p. (2021). MSC: 34C28 65P20 34D08 PDF BibTeX XML Cite \textit{D. N. Butusov} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105467, 16 p. (2021; Zbl 1457.34068) Full Text: DOI
Zhou, Shuang; Wang, Xingyuan Simple estimation method for the second-largest Lyapunov exponent of chaotic differential equations. (English) Zbl 1490.37106 Chaos Solitons Fractals 139, Article ID 109981, 18 p. (2020). MSC: 37M25 37D45 PDF BibTeX XML Cite \textit{S. Zhou} and \textit{X. Wang}, Chaos Solitons Fractals 139, Article ID 109981, 18 p. (2020; Zbl 1490.37106) Full Text: DOI
Wang, Xiujuan; Peng, Mingshu Rich dynamics in some generalized difference equations. (English) Zbl 1480.39004 Discrete Contin. Dyn. Syst., Ser. S 13, No. 11, 3205-3212 (2020). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 39A13 39A33 39A30 39A28 26A33 PDF BibTeX XML Cite \textit{X. Wang} and \textit{M. Peng}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 11, 3205--3212 (2020; Zbl 1480.39004) Full Text: DOI
Hua, Mengjiao; Lei, Youming; Du, Lin Onset of stochastic synchronization induced by diffusion processes in a generalized Duffing system. (English) Zbl 1461.60066 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105098, 8 p. (2020). MSC: 60J60 37D45 37N35 93D15 PDF BibTeX XML Cite \textit{M. Hua} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105098, 8 p. (2020; Zbl 1461.60066) Full Text: DOI
Ma, Li; Liu, Xianggang; Liu, Xiaotong; Zhang, Ying; Qiu, Yu; Li, Kaiyan On the correlation dimension of discrete fractional chaotic systems. (English) Zbl 1452.37080 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2050174, 14 p. (2020). MSC: 37M05 37D45 37C45 39A13 39A70 26A33 PDF BibTeX XML Cite \textit{L. Ma} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2050174, 14 p. (2020; Zbl 1452.37080) Full Text: DOI
Li, Changzhao; Zhang, Juan Stochastic bifurcation analysis in Brusselator system with white noise. (English) Zbl 1459.37040 Adv. Difference Equ. 2019, Paper No. 385, 16 p. (2019). MSC: 37H20 35Q84 60H15 PDF BibTeX XML Cite \textit{C. Li} and \textit{J. Zhang}, Adv. Difference Equ. 2019, Paper No. 385, 16 p. (2019; Zbl 1459.37040) Full Text: DOI
Gurina, Tat’yana Alekseevna Bifurcation study of transition to chaos in the oscillatory system of motion of a plate in a liquid. (Russian. English summary) Zbl 1448.34079 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 1, 3-18 (2019). Reviewer: Eduard Musafirov (Grodno) MSC: 34C23 34C15 34C25 34C28 34D45 34C37 70K55 PDF BibTeX XML Cite \textit{T. A. Gurina}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 1, 3--18 (2019; Zbl 1448.34079) Full Text: DOI MNR
Shen, Yunzhu; Zhang, Fanhui; Dong, Guangxia Strange nonchaotic attractors in quasiperiodically piecewise logistic system. (Chinese. English summary) Zbl 1449.37028 J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 3, 207-212 (2019). MSC: 37D45 37C70 PDF BibTeX XML Cite \textit{Y. Shen} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 3, 207--212 (2019; Zbl 1449.37028) Full Text: DOI
Josiński, Henryk; Świtoński, Adam; Michalczuk, Agnieszka; Grabiec, Piotr; Pawlyta, Magdalena; Wojciechowski, Konrad Assessment of local dynamic stability in gait based on univariate and multivariate time series. (English) Zbl 1423.92013 Comput. Math. Methods Med. 2019, Article ID 6917658, 13 p. (2019). MSC: 92C10 62P10 PDF BibTeX XML Cite \textit{H. Josiński} et al., Comput. Math. Methods Med. 2019, Article ID 6917658, 13 p. (2019; Zbl 1423.92013) Full Text: DOI
Kyrtsou, Catherine; Mikropoulou, Christina D. Quantifying interactions in nonlinear feedback dynamics: a time series analysis. (English) Zbl 1415.39010 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950012, 9 p. (2019). MSC: 39A30 37M10 PDF BibTeX XML Cite \textit{C. Kyrtsou} and \textit{C. D. Mikropoulou}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950012, 9 p. (2019; Zbl 1415.39010) Full Text: DOI
Borkowski, Lukasz Numerical analysis of dynamic stability of an isotropic plate by applying tools used in dynamics. (English) Zbl 1446.74137 Awrejcewicz, Jan (ed.), Dynamical systems in theoretical perspective. Łódź, Poland, December 11–14, 2017. Based on the 14th international conference on dynamical systems: theory and applications (DSTA). Cham: Springer. Springer Proc. Math. Stat. 248, 63-73 (2018). MSC: 74H55 74K20 PDF BibTeX XML Cite \textit{L. Borkowski}, Springer Proc. Math. Stat. 248, 63--73 (2018; Zbl 1446.74137) Full Text: DOI
Bao, Binshuo; Ma, Junhai Dynamic game behavior of retailers considering the quality of substitute products based on delay decision. (English) Zbl 1380.90033 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750206, 21 p. (2017). MSC: 90B06 91A25 91B55 PDF BibTeX XML Cite \textit{B. Bao} and \textit{J. Ma}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750206, 21 p. (2017; Zbl 1380.90033) Full Text: DOI
Zhou, Shihua; Song, Guiqiu; Ren, Zhaohui; Wen, Bangchun Nonlinear dynamic analysis for coupled vehicle-bridge system with harmonic excitation. (English) Zbl 1375.74044 Meccanica 52, No. 9, 2219-2243 (2017). MSC: 74H45 70K30 70K55 PDF BibTeX XML Cite \textit{S. Zhou} et al., Meccanica 52, No. 9, 2219--2243 (2017; Zbl 1375.74044) Full Text: DOI
Mendes, Eduardo M. A. M.; Nepomuceno, Erivelton G. A very simple method to calculate the (positive) largest Lyapunov exponent using interval extensions. (English) Zbl 1354.37082 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1650226, 7 p. (2016). MSC: 37M25 PDF BibTeX XML Cite \textit{E. M. A. M. Mendes} and \textit{E. G. Nepomuceno}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1650226, 7 p. (2016; Zbl 1354.37082) Full Text: DOI
Sun, Lijian; Ma, Junhai Study and simulation on dynamics of a risk-averse supply chain pricing model with dual-channel and incomplete information. (English) Zbl 1347.91148 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 9, Article ID 1650146, 18 p. (2016). MSC: 91B24 90B05 37N40 91A40 PDF BibTeX XML Cite \textit{L. Sun} and \textit{J. Ma}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 9, Article ID 1650146, 18 p. (2016; Zbl 1347.91148) Full Text: DOI
Pan, Indranil; Das, Saptarshi When Darwin meets Lorenz: evolving new chaotic attractors through genetic programming. (English) Zbl 1352.68224 Chaos Solitons Fractals 76, 141-155 (2015). MSC: 68T20 34C28 37D45 90C59 PDF BibTeX XML Cite \textit{I. Pan} and \textit{S. Das}, Chaos Solitons Fractals 76, 141--155 (2015; Zbl 1352.68224) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{H. Dai} et al., Nonlinear Dyn. 81, No. 1--2, 169--188 (2015; Zbl 1431.74042) Full Text: DOI
Liu, Kun; Wang, Hongrui; Xiao, Jinzhuang The multivariate largest Lyapunov exponent as an age-related metric of quiet standing balance. (English) Zbl 1344.92026 Comput. Math. Methods Med. 2015, Article ID 309756, 11 p. (2015). MSC: 92C10 62P10 PDF BibTeX XML Cite \textit{K. Liu} et al., Comput. Math. Methods Med. 2015, Article ID 309756, 11 p. (2015; Zbl 1344.92026) Full Text: DOI
Liu, Na; Guan, Zhihong Chaotification of a continuous stable complex network via impulsive control. (English) Zbl 1332.93150 J. Syst. Sci. Complex. 28, No. 6, 1271-1278 (2015). MSC: 93C15 34H10 34A37 PDF BibTeX XML Cite \textit{N. Liu} and \textit{Z. Guan}, J. Syst. Sci. Complex. 28, No. 6, 1271--1278 (2015; Zbl 1332.93150) Full Text: DOI
Hai, Liu; Yong, Song; Qingfu, Du Power forecasting of combined heating and cooling systems based on chaotic time series. (English) Zbl 1326.93060 J. Control Sci. Eng. 2015, Article ID 174203, 7 p. (2015). MSC: 93C10 34H10 93D30 92B20 93C95 PDF BibTeX XML Cite \textit{L. Hai} et al., J. Control Sci. Eng. 2015, Article ID 174203, 7 p. (2015; Zbl 1326.93060) Full Text: DOI
Chakraborty, Kunal; Das, Kunal; Yu, Hengguo Modeling and analysis of a modified Leslie-gower type three species food chain model with an impulsive control strategy. (English) Zbl 1307.34067 Nonlinear Anal., Hybrid Syst. 15, 171-184 (2015). MSC: 34C60 92D25 34A37 34D20 34D05 34C28 34D08 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Nonlinear Anal., Hybrid Syst. 15, 171--184 (2015; Zbl 1307.34067) Full Text: DOI
Xiao, Huang; Ma, Yutian; Li, Changpin Chaotic vibration in fractional maps. (English) Zbl 1348.37029 J. Vib. Control 20, No. 7, 964-972 (2014). MSC: 37B99 26A33 37D45 65L12 PDF BibTeX XML Cite \textit{H. Xiao} et al., J. Vib. Control 20, No. 7, 964--972 (2014; Zbl 1348.37029) Full Text: DOI
Jiao, Zhu-Qing; Zou, Ling; Cao, Yin; Ma, Zheng-Hua Chaotic time series analysis of functional magnetic resonance imaging. (English) Zbl 1339.37087 Int. J. Appl. Math. Stat. 52, No. 2, 15-26 (2014). MSC: 37M10 PDF BibTeX XML Cite \textit{Z.-Q. Jiao} et al., Int. J. Appl. Math. Stat. 52, No. 2, 15--26 (2014; Zbl 1339.37087) Full Text: Link
Liu, Weiyan; Zhu, Weiqiu; Jia, Wantao; Gu, Xudong Stochastic stability of quasi-partially integrable and non-resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises. (English) Zbl 1331.93216 Nonlinear Dyn. 77, No. 4, 1721-1735 (2014). MSC: 93E15 70K60 37J25 37M05 60H40 37H10 PDF BibTeX XML Cite \textit{W. Liu} et al., Nonlinear Dyn. 77, No. 4, 1721--1735 (2014; Zbl 1331.93216) Full Text: DOI
Kříž, Radko Chaotic analysis of the GDP time series. (English) Zbl 1273.62213 Zelinka, Ivan (ed.) et al., Nostradamus 2013: Prediction, modeling and analysis of complex systems. Selected papers based on the presentations at the Nostradamus conference, Ostrava, Czech Republic, June 3–5, 2013. Cham: Springer (ISBN 978-3-319-00541-6/pbk; 978-3-319-00542-3/ebook). Advances in Intelligent Systems and Computing 210, 353-362 (2013). MSC: 62M10 37M10 37D45 PDF BibTeX XML Cite \textit{R. Kříž}, Adv. Intell. Syst. Comput. 210, 353--362 (2013; Zbl 1273.62213) Full Text: DOI
Liu, Na; Li, Juan; Guan, Zhi-Hong; Ding, Li; Zheng, Guilin Chaos generation for a class of nonlinear complex networks. (English) Zbl 1270.34098 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350018, 7 p. (2013). MSC: 34C28 34D08 34C11 92B20 PDF BibTeX XML Cite \textit{N. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350018, 7 p. (2013; Zbl 1270.34098) Full Text: DOI
Wei, Du-Qu; Zhang, Bo; Luo, Xiao-Shu; Qiu, Dong-Yuan Nonlinear dynamics of permanent-magnet synchronous motor with v/f control. (English) Zbl 1264.34020 Commun. Theor. Phys. 59, No. 3, 302-306 (2013). MSC: 34A34 34C20 34D08 78A55 PDF BibTeX XML Cite \textit{D.-Q. Wei} et al., Commun. Theor. Phys. 59, No. 3, 302--306 (2013; Zbl 1264.34020) Full Text: DOI
Wang, Tianshu; Wang, Xingyuan; Wang, Mingjun A simple criterion for impulsive chaotic synchronization. (English) Zbl 1221.93237 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1464-1468 (2011). MSC: 93D15 34H10 37D45 PDF BibTeX XML Cite \textit{T. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1464--1468 (2011; Zbl 1221.93237) Full Text: DOI
Yu, Hengguo; Zhong, Shouming; Agarwal, Ravi P.; Sen, S. K. Three-species food web model with impulsive control strategy and chaos. (English) Zbl 1221.34039 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 1002-1013 (2011). MSC: 34A37 92D25 PDF BibTeX XML Cite \textit{H. Yu} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 1002--1013 (2011; Zbl 1221.34039) Full Text: DOI
Yu, Hengguo; Zhong, Shouming; Agarwal, Ravi P. Mathematics analysis and chaos in an ecological model with an impulsive control strategy. (English) Zbl 1221.37207 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 776-786 (2011). MSC: 37N25 34A37 34C28 34D20 92D40 PDF BibTeX XML Cite \textit{H. Yu} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 776--786 (2011; Zbl 1221.37207) Full Text: DOI
Feng, Huifang; Shu, Yantai; Yang, Oliver W. W. Research on characterization of wireless LANs traffic. (English) Zbl 1343.37083 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3179-3187 (2011). MSC: 37M10 37N99 62H25 62P30 94A12 PDF BibTeX XML Cite \textit{H. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3179--3187 (2011; Zbl 1343.37083) Full Text: DOI
Yu, Hengguo; Zhong, Shouming; Agarwal, Ravi P. Mathematics and dynamic analysis of an apparent competition community model with impulsive effect. (English) Zbl 1201.34018 Math. Comput. Modelling 52, No. 1-2, 25-36 (2010). MSC: 34A37 92D40 34D08 PDF BibTeX XML Cite \textit{H. Yu} et al., Math. Comput. Modelling 52, No. 1--2, 25--36 (2010; Zbl 1201.34018) Full Text: DOI
Wang, Xiaomei; Yu, Hengguo; Zhong, Shouming; Agarwal, Ravi P. Analysis of mathematics and dynamics in a food web system with impulsive perturbations and distributed time delay. (English) Zbl 1201.34124 Appl. Math. Modelling 34, No. 12, 3850-3863 (2010). MSC: 34K20 37N25 34K45 92D25 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Modelling 34, No. 12, 3850--3863 (2010; Zbl 1201.34124) Full Text: DOI
Yu, Hengguo; Zhong, Shouming; Agarwal, Ravi P.; Xiong, Lianglin Species permanence and dynamical behavior analysis of an impulsively controlled ecological system with distributed time delay. (English) Zbl 1198.34171 Comput. Math. Appl. 59, No. 12, 3824-3835 (2010). MSC: 34K20 34K45 92D40 PDF BibTeX XML Cite \textit{H. Yu} et al., Comput. Math. Appl. 59, No. 12, 3824--3835 (2010; Zbl 1198.34171) Full Text: DOI
Tang, Rong-An; Liu, Ya-Li; Xue, Ju-Kui An extended active control for chaos synchronization. (English) Zbl 1228.34078 Phys. Lett., A 373, No. 16, 1449-1454 (2009). MSC: 34D06 34D08 34H10 34C28 PDF BibTeX XML Cite \textit{R.-A. Tang} et al., Phys. Lett., A 373, No. 16, 1449--1454 (2009; Zbl 1228.34078) Full Text: DOI
Yu, Hengguo; Zhong, Shouming; Ye, Mao; Chen, Wufan Mathematical and dynamic analysis of an ecological model with an impulsive control strategy and distributed time delay. (English) Zbl 1185.37203 Math. Comput. Modelling 50, No. 11-12, 1622-1635 (2009). MSC: 37N25 34A37 92D25 34D05 92D40 PDF BibTeX XML Cite \textit{H. Yu} et al., Math. Comput. Modelling 50, No. 11--12, 1622--1635 (2009; Zbl 1185.37203) Full Text: DOI
Zhao, Demin; Zhang, Qichang; Tan, Ying Random flutter of a 2-DOF nonlinear airfoil in pitch and plunge with freeplay in pitch. (English) Zbl 1183.70064 Nonlinear Dyn. 58, No. 4, 643-654 (2009). MSC: 70L05 70K50 74F10 PDF BibTeX XML Cite \textit{D. Zhao} et al., Nonlinear Dyn. 58, No. 4, 643--654 (2009; Zbl 1183.70064) Full Text: DOI
Yu, Hengguo; Zhong, Shouming; Ye, Mao Dynamic analysis of an ecological model with impulsive control strategy and distributed time delay. (English) Zbl 1178.92058 Math. Comput. Simul. 80, No. 3, 619-632 (2009). MSC: 92D40 34K35 34K45 37N25 37D45 PDF BibTeX XML Cite \textit{H. Yu} et al., Math. Comput. Simul. 80, No. 3, 619--632 (2009; Zbl 1178.92058) Full Text: DOI
Chen, L. C.; Zhu, W. Q. Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and white noise parametric excitations. (English) Zbl 1172.70011 Acta Mech. 207, No. 1-2, 109-120 (2009). MSC: 70L05 70K40 70K20 PDF BibTeX XML Cite \textit{L. C. Chen} and \textit{W. Q. Zhu}, Acta Mech. 207, No. 1--2, 109--120 (2009; Zbl 1172.70011) Full Text: DOI
Li, Ruihong; Xu, Wei; Li, Shuang Chaos control and synchronization of the \(\Phi^{6}\)-Van der Pol system driven by external and parametric excitations. (English) Zbl 1170.70391 Nonlinear Dyn. 53, No. 3, 261-271 (2008). MSC: 70Q05 70K55 70K40 70K28 PDF BibTeX XML Cite \textit{R. Li} et al., Nonlinear Dyn. 53, No. 3, 261--271 (2008; Zbl 1170.70391) Full Text: DOI
Wei, Xizhu; Ren, Yueming; Shen, Yi; Yuan, Yixing Forecasting and control of water demand based on the improved largest Lyapunov exponent algorithm. (Chinese. English summary) Zbl 1174.91589 J. Harbin Inst. Technol. 40, No. 1, 25-27 (2008). MSC: 91D10 93C95 PDF BibTeX XML Cite \textit{X. Wei} et al., J. Harbin Inst. Technol. 40, No. 1, 25--27 (2008; Zbl 1174.91589)
Wang, Xingyuan; He, Yijie Projective synchronization of the fractional order unified system. (Chinese. English summary) Zbl 1174.37333 Acta Phys. Sin. 57, No. 3, 1485-1492 (2008). MSC: 37D45 PDF BibTeX XML Cite \textit{X. Wang} and \textit{Y. He}, Acta Phys. Sin. 57, No. 3, 1485--1492 (2008; Zbl 1174.37333)
Yousefpoor, P.; Esfahani, M. S.; Nojumi, H. Looking for systematic approach to select chaos tests. (English) Zbl 1133.91532 Appl. Math. Comput. 198, No. 1, 73-91 (2008). MSC: 91B82 62G10 PDF BibTeX XML Cite \textit{P. Yousefpoor} et al., Appl. Math. Comput. 198, No. 1, 73--91 (2008; Zbl 1133.91532) Full Text: DOI
Jin, Yanfei; Hu, Haiyan Principal resonance of a Duffing oscillator with delayed state feedback under narrow-band random parametric excitation. (English) Zbl 1193.70036 Nonlinear Dyn. 50, No. 1-2, 213-227 (2007). MSC: 70L05 70K30 PDF BibTeX XML Cite \textit{Y. Jin} and \textit{H. Hu}, Nonlinear Dyn. 50, No. 1--2, 213--227 (2007; Zbl 1193.70036) Full Text: DOI
Min, Fuhong; Wang, Zhiquan; Wu, Xuehong Coupled synchronization for feedback control hyper-chaotic systems. (Chinese. English summary) Zbl 1174.93476 J. Nanjing Norm. Univ., Eng. Technol. 7, No. 3, 6-12 (2007). MSC: 93B52 37D45 PDF BibTeX XML Cite \textit{F. Min} et al., J. Nanjing Norm. Univ., Eng. Technol. 7, No. 3, 6--12 (2007; Zbl 1174.93476)
Goto, Shin-itiro From an unstable periodic orbit to the Lyapunov exponent and a macroscopic variable in a Hamiltonian lattice – periodic orbit dependencies –. (English) Zbl 1131.82004 Prog. Theor. Phys. 118, No. 1, 25-33 (2007). MSC: 82B20 35Q55 PDF BibTeX XML Cite \textit{S.-i. Goto}, Prog. Theor. Phys. 118, No. 1, 25--33 (2007; Zbl 1131.82004) Full Text: DOI arXiv
Kitio Kwuimy, C. A.; Woafo, P. Dynamics of a self-sustained electromechanical system with flexible arm and cubic coupling. (English) Zbl 1116.70033 Commun. Nonlinear Sci. Numer. Simul. 12, No. 8, 1504-1517 (2007). MSC: 70K65 70K55 PDF BibTeX XML Cite \textit{C. A. Kitio Kwuimy} and \textit{P. Woafo}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 8, 1504--1517 (2007; Zbl 1116.70033) Full Text: DOI
Wang, Faqiang; Liu, Chongxin A new criterion for chaos and hyperchaos synchronization using linear feedback control. (English) Zbl 1236.93131 Phys. Lett., A 360, No. 2, 274-278 (2006). MSC: 93D15 34D06 34C28 PDF BibTeX XML Cite \textit{F. Wang} and \textit{C. Liu}, Phys. Lett., A 360, No. 2, 274--278 (2006; Zbl 1236.93131) Full Text: DOI
Wu, Ying; Jin, Wuyin; Xing, Jingzhong; Zhao, Yonggang Determination of the largest Lyapunov exponent of discrete dynamical system by using wavelet analysis. (Chinese. English summary) Zbl 1101.37056 J. Lanzhou Univ. Technol. 32, No. 1, 158-160 (2006). MSC: 37N99 37D45 37M25 42C40 PDF BibTeX XML Cite \textit{Y. Wu} et al., J. Lanzhou Univ. Technol. 32, No. 1, 158--160 (2006; Zbl 1101.37056)
Ward, Thomas III; Homsy, G. M. Chaotic streamlines in a translating drop with a uniform electric field. (English) Zbl 1082.76117 J. Fluid Mech. 547, 215-230 (2006). MSC: 76W05 76D07 76-05 37N10 PDF BibTeX XML Cite \textit{T. Ward III} and \textit{G. M. Homsy}, J. Fluid Mech. 547, 215--230 (2006; Zbl 1082.76117) Full Text: DOI
Liu, Hai-Feng; Dai, Zheng-Hua; Li, Wei-Feng; Gong, Xin; Yu, Zun-Hong Noise robust estimates of the largest Lyapunov exponent. (English) Zbl 1171.37334 Phys. Lett., A 341, No. 1-4, 119-127 (2005). MSC: 37M10 37N35 37D45 PDF BibTeX XML Cite \textit{H.-F. Liu} et al., Phys. Lett., A 341, No. 1--4, 119--127 (2005; Zbl 1171.37334) Full Text: DOI
Labou, M. On the stability of systems with stochastically variable parameters. (English) Zbl 1114.34326 Prikl. Mekh., Kiev 41, No. 12, 128-138 (2005) and Int. Appl. Mech. 41, No. 12, 1437-1446 (2005). Reviewer: R. K. Azimov (Andizhan) MSC: 34F05 60H10 PDF BibTeX XML Cite \textit{M. Labou}, Prikl. Mekh., Kiev 41, No. 12, 128--138 (2005; Zbl 1114.34326) Full Text: DOI
Chlouverakis, Konstantinos E. Color maps of the Kaplan–Yorke dimension in optically driven lasers: maximizing the dimension and almost-Hamiltonian chaos. (English) Zbl 1115.78322 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3011-3021 (2005). MSC: 78A60 PDF BibTeX XML Cite \textit{K. E. Chlouverakis}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3011--3021 (2005; Zbl 1115.78322) Full Text: DOI
Ali, M.; Saha, L. M. Local Lyapunov exponents and characteristics of fixed/periodic points embedded within a chaotic attractor. (English) Zbl 1084.37027 J. Zhejiang Univ., Sci. 6A, No. 4, 296-304 (2005). MSC: 37D45 37C25 37B25 PDF BibTeX XML Cite \textit{M. Ali} and \textit{L. M. Saha}, J. Zhejiang Univ., Sci. 6A, No. 4, 296--304 (2005; Zbl 1084.37027)
Andreev, Yu. V.; Koroteev, M. V. A chaotic nature of speech signals. (Russian) Zbl 1081.37544 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 12, No. 6, 44-59 (2004). Reviewer: Sergei Zhuravlev (Moskva) MSC: 37N99 37D45 94A05 68T10 68T50 94A12 PDF BibTeX XML Cite \textit{Yu. V. Andreev} and \textit{M. V. Koroteev}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 12, No. 6, 44--59 (2004; Zbl 1081.37544) Full Text: arXiv
Yeragani, Vikram K.; Radhakrishna, R. K. A.; Ramakrishnan, K. R.; Srinivasan, S. H. Measures of LLE of heart rate in different frequency bands: a possible measure of relative vagal and sympathetic activity. (English) Zbl 1082.92028 Nonlinear Anal., Real World Appl. 5, No. 3, 441-462 (2004). MSC: 92C50 37M10 PDF BibTeX XML Cite \textit{V. K. Yeragani} et al., Nonlinear Anal., Real World Appl. 5, No. 3, 441--462 (2004; Zbl 1082.92028) Full Text: DOI
Chang, Shun-Chang; Lin, Hai-Ping Chaos attitude motion and chaos control in an automotive wiper system. (English) Zbl 1119.70322 Int. J. Solids Struct. 41, No. 13, 3491-3504 (2004). MSC: 70Q05 70K55 37N05 PDF BibTeX XML Cite \textit{S.-C. Chang} and \textit{H.-P. Lin}, Int. J. Solids Struct. 41, No. 13, 3491--3504 (2004; Zbl 1119.70322) Full Text: DOI
Ariaratnam, S. T.; Abdelrahman, N. M. Stochastic stability of non-gyroscopic viscoelastic systems. (English) Zbl 1067.74029 Int. J. Solids Struct. 41, No. 9-10, 2685-2709 (2004). MSC: 74H55 74D05 74K10 PDF BibTeX XML Cite \textit{S. T. Ariaratnam} and \textit{N. M. Abdelrahman}, Int. J. Solids Struct. 41, No. 9--10, 2685--2709 (2004; Zbl 1067.74029) Full Text: DOI
Yeragani, Vikram K.; Collins, Heidi L.; Radhakrishna Rao, K. A.; Rodenbaugh, David W.; DiCarlo, Stephen E. Decreased chaos after exercise in cardiac output time series of rats: A preliminary report. (English) Zbl 1019.92010 Nonlinear Anal., Real World Appl. 4, No. 2, 307-316 (2003). MSC: 92C30 37N25 PDF BibTeX XML Cite \textit{V. K. Yeragani} et al., Nonlinear Anal., Real World Appl. 4, No. 2, 307--316 (2003; Zbl 1019.92010) Full Text: DOI
Rong, Haiwu; Xu, Wei; Wang, Xiangdong; Meng, Guang; Fang, Tong Principal response of van der Pol-Duffing oscillator under combined deterministic and random parametric excitation. (English) Zbl 1057.70014 Appl. Math. Mech., Engl. Ed. 23, No. 3, 299-310 (2002). MSC: 70L05 70K40 70K28 PDF BibTeX XML Cite \textit{H. Rong} et al., Appl. Math. Mech., Engl. Ed. 23, No. 3, 299--310 (2002; Zbl 1057.70014) Full Text: DOI
Dupac, Mihai; Marghitu, Dan B.; Beale, David G. Lumped mass modelling and chaotic behavior of an elastic levitated droplet. (English) Zbl 1065.74537 Nonlinear Dyn. 27, No. 4, 311-326 (2002). MSC: 74F15 37N15 PDF BibTeX XML Cite \textit{M. Dupac} et al., Nonlinear Dyn. 27, No. 4, 311--326 (2002; Zbl 1065.74537) Full Text: DOI
Ramachandran, Prabhu; Rajan, S. C. Identification of regions of fastest mixing in a system of point vortices. (English) Zbl 1008.76008 Int. J. Numer. Methods Fluids 38, No. 5, 447-469 (2002). Reviewer: Arkadi Berezovski (Tallinn) MSC: 76B47 76M99 PDF BibTeX XML Cite \textit{P. Ramachandran} and \textit{S. C. Rajan}, Int. J. Numer. Methods Fluids 38, No. 5, 447--469 (2002; Zbl 1008.76008) Full Text: DOI
Gottlieb, H. P. W.; Sprott, J. C. Simplest driven conservative chaotic oscillator. (English) Zbl 1010.70020 Phys. Lett., A 291, No. 6, 385-388 (2001). MSC: 70K55 70K40 PDF BibTeX XML Cite \textit{H. P. W. Gottlieb} and \textit{J. C. Sprott}, Phys. Lett., A 291, No. 6, 385--388 (2001; Zbl 1010.70020) Full Text: DOI
Campa, A.; Giansanti, A.; Moroni, D.; Tsallis, C. Classical spin systems with long-range interactions: universal reduction of mixing. (English) Zbl 0969.82513 Phys. Lett., A 286, No. 4, 251-256 (2001). MSC: 82B20 PDF BibTeX XML Cite \textit{A. Campa} et al., Phys. Lett., A 286, No. 4, 251--256 (2001; Zbl 0969.82513) Full Text: DOI arXiv
Haller, G. Distinguished material surfaces and coherent structures in three-dimensional fluid flows. (English) Zbl 1015.76077 Physica D 149, No. 4, 248-277 (2001). MSC: 76R99 37N10 PDF BibTeX XML Cite \textit{G. Haller}, Physica D 149, No. 4, 248--277 (2001; Zbl 1015.76077) Full Text: DOI
Thiffeault, Jean-Luc; Morrison, P. J. The twisted top. (English) Zbl 1008.70002 Phys. Lett., A 283, No. 5-6, 335-341 (2001). MSC: 70E17 74E40 70G45 PDF BibTeX XML Cite \textit{J.-L. Thiffeault} and \textit{P. J. Morrison}, Phys. Lett., A 283, No. 5--6, 335--341 (2001; Zbl 1008.70002) Full Text: DOI arXiv
Stefanski, Andrzej; Kapitaniak, Tomasz Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems. (English) Zbl 0984.37031 Discrete Dyn. Nat. Soc. 4, No. 3, 207-215 (2000). MSC: 37D25 37D45 PDF BibTeX XML Cite \textit{A. Stefanski} and \textit{T. Kapitaniak}, Discrete Dyn. Nat. Soc. 4, No. 3, 207--215 (2000; Zbl 0984.37031) Full Text: DOI EuDML
Stefanski, Andrzej Estimation of the largest Lyapunov exponent in systems with impacts. (English) Zbl 0963.70018 Chaos Solitons Fractals 11, No. 15, 2443-2451 (2000). MSC: 70K55 70K99 PDF BibTeX XML Cite \textit{A. Stefanski}, Chaos Solitons Fractals 11, No. 15, 2443--2451 (2000; Zbl 0963.70018) Full Text: DOI
Carretero-González, R.; Ørstavik, S.; Huke, J.; Broomhead, D. S.; Stark, J. Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems. (English) Zbl 0983.37109 Chaos 9, No. 2, 466-482 (1999). MSC: 37M25 37A30 PDF BibTeX XML Cite \textit{R. Carretero-González} et al., Chaos 9, No. 2, 466--482 (1999; Zbl 0983.37109) Full Text: DOI arXiv
Kongas, O. Stability and torsion in the period doubling cascade. (English) Zbl 0949.37021 Phys. Lett., A 241, No. 3, 163-167 (1998). MSC: 37E15 37D25 34D08 PDF BibTeX XML Cite \textit{O. Kongas}, Phys. Lett., A 241, No. 3, 163--167 (1998; Zbl 0949.37021) Full Text: DOI
Argyris, John; Andreadis, Ioannis On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems. (English) Zbl 0934.37048 Chaos Solitons Fractals 9, No. 6, 959-963 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37H15 37D45 PDF BibTeX XML Cite \textit{J. Argyris} and \textit{I. Andreadis}, Chaos Solitons Fractals 9, No. 6, 959--963 (1998; Zbl 0934.37048) Full Text: DOI
Argyris, John; Andreadis, Ioannis; Pavlos, Georgios; Athanasiou, Michalis On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors. (English) Zbl 0934.37047 Chaos Solitons Fractals 9, No. 6, 947-958 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37H15 37D45 PDF BibTeX XML Cite \textit{J. Argyris} et al., Chaos Solitons Fractals 9, No. 6, 947--958 (1998; Zbl 0934.37047) Full Text: DOI
Brooks, Chris Chaos in foreign exchange markets: A sceptical view. (English) Zbl 0908.90041 Comput. Econ. 11, No. 3, 265-281 (1998). MSC: 91B62 91B28 91B82 PDF BibTeX XML Cite \textit{C. Brooks}, Comput. Econ. 11, No. 3, 265--281 (1998; Zbl 0908.90041) Full Text: DOI
Xu, Jianxue; Gong, Yunfan; Ren, Wei; Hu, Sanjue; Wang, Fuzhou Propagation of periodic and chaotic action potential trains along nerve fibers. (English) Zbl 0890.92007 Physica D 100, No. 1-4, 212-224 (1997). MSC: 92C20 37N99 37D45 PDF BibTeX XML Cite \textit{J. Xu} et al., Physica D 100, No. 1--4, 212--224 (1997; Zbl 0890.92007) Full Text: DOI
Bergamasco, L.; Serio, M. Chaotic indicators and Gaussian random processes: Some surprising results. (English) Zbl 0873.60098 Fractals 4, No. 1, 73-90 (1996). MSC: 60K99 PDF BibTeX XML Cite \textit{L. Bergamasco} and \textit{M. Serio}, Fractals 4, No. 1, 73--90 (1996; Zbl 0873.60098) Full Text: DOI
Kozić, Predrag; Pavlović, Ratko The stability of a moving elastic strip subjected to random parametric excitations. (Serbian. English summary) Zbl 0849.73021 21st Yugoslav congress of theoretical and applied mechanics, YUCTAM Niš ’95, May 29 - June 3, 1995, Niš, Yugoslavia. C: Mechanics of solid deformable body. Proceedings. Niš: Univ. of Niš, Fac. of Mechanical Engineering, 246-251 (1995). MSC: 74H55 74H50 PDF BibTeX XML Cite \textit{P. Kozić} and \textit{R. Pavlović}, in: 21st Yugoslav congress of theoretical and applied mechanics, YUCTAM Niš '95, May 29-June 3, 1995, Niš, Yugoslavia. C: Mechanics of solid deformable body. Proceedings. Niš: Univ. of Niš, Fac. of Mechanical Engineering; Beograd: Yugoslav Society of Mechanics. 246--251 (1995; Zbl 0849.73021)
Kaashoek, Johan F.; van Dijk, Herman K. A neural network applied to the calculation of Lyapunov exponents. (English) Zbl 0830.62102 Econom. Rev. 13, No. 1, 123-137 (1994). MSC: 62P20 91B84 68T05 37N99 PDF BibTeX XML Cite \textit{J. F. Kaashoek} and \textit{H. K. van Dijk}, Econom. Rev. 13, No. 1, 123--137 (1994; Zbl 0830.62102) Full Text: DOI
Aguirre, Luis A.; Billings, S. A. Validating identified nonlinear models with chaotic dynamics. (English) Zbl 0876.58028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 1, 109-125 (1994). MSC: 37D45 70K50 37G99 PDF BibTeX XML Cite \textit{L. A. Aguirre} and \textit{S. A. Billings}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 1, 109--125 (1994; Zbl 0876.58028) Full Text: DOI
Pavlos, G. P.; Karakatsanis, L.; Latoussakis, J. B.; Dialetis, D.; Papaioannou, G. Chaotic analysis of a time series composed of seismic events recorded in Japan. (English) Zbl 0879.73016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 1, 87-98 (1994). MSC: 74J99 74H50 86A15 62M10 37D45 PDF BibTeX XML Cite \textit{G. P. Pavlos} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 1, 87--98 (1994; Zbl 0879.73016) Full Text: DOI
Rosenstein, Michael T.; Collins, James J.; De Luca, Carlo J. A practical method for calculating largest Lyapunov exponents from small data sets. (English) Zbl 0779.58030 Physica D 65, No. 1-2, 117-134 (1993). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37D45 PDF BibTeX XML Cite \textit{M. T. Rosenstein} et al., Physica D 65, No. 1--2, 117--134 (1993; Zbl 0779.58030) Full Text: DOI
Persson, M.; Laing, C. R. Low-dimensional behavior of nonlinear tearing mode dynamics in a rotating plasma. (English) Zbl 0925.76936 Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, No. 5, 1155-1168 (1993). MSC: 76W05 76U05 82D10 PDF BibTeX XML Cite \textit{M. Persson} and \textit{C. R. Laing}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, No. 5, 1155--1168 (1993; Zbl 0925.76936) Full Text: DOI
Eckmann, J.-P.; Wayne, C. E. The largest Lyapunov exponent for random matrices and directed polymers in a random environment. (English) Zbl 0673.60066 Commun. Math. Phys. 121, No. 1, 147-175 (1989). Reviewer: Y.Kifer MSC: 60H25 82D30 PDF BibTeX XML Cite \textit{J. P. Eckmann} and \textit{C. E. Wayne}, Commun. Math. Phys. 121, No. 1, 147--175 (1989; Zbl 0673.60066) Full Text: DOI
Brock, W. A.; Dechert, W. D. Theorems on distinguishing deterministic from random systems. (English) Zbl 0732.62090 Dynamic econometric modeling, Proc. 3rd Int. Symp. Econ. Theory Econ., Austin/TX (USA) 1986, 247-265 (1988). MSC: 62M10 37D45 PDF BibTeX XML
Le Jan, Yves Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants. (Statistical equilibrium for products of independent random diffeomorphisms). (French) Zbl 0614.60047 Ann. Inst. Henri Poincaré, Probab. Stat. 23, 111-120 (1987). Reviewer: A.F.Karr MSC: 60G57 60B05 57R50 PDF BibTeX XML Cite \textit{Y. Le Jan}, Ann. Inst. Henri Poincaré, Probab. Stat. 23, 111--120 (1987; Zbl 0614.60047) Full Text: Numdam EuDML
Bougerol, Philippe Tightness of products of random matrices and stability of linear stochastic systems. (English) Zbl 0614.60008 Ann. Probab. 15, 40-74 (1987). Reviewer: Y.Kifer MSC: 60B15 60B10 93E15 60H10 60H25 PDF BibTeX XML Cite \textit{P. Bougerol}, Ann. Probab. 15, 40--74 (1987; Zbl 0614.60008) Full Text: DOI
Le Jan, Yves Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants (Statistical equilibrium for products of random diffeomorphisms). (French) Zbl 0589.60053 C. R. Acad. Sci., Paris, Sér. I 302, 351-354 (1986). Reviewer: H.Crauel MSC: 60H99 37A99 58J65 60J60 PDF BibTeX XML Cite \textit{Y. Le Jan}, C. R. Acad. Sci., Paris, Sér. I 302, 351--354 (1986; Zbl 0589.60053)