Zhou, Liangqiang; Hu, Sengen; Chen, Fangqi Chaotic dynamics and subharmonic bifurcations of current-carrying conductors subjected to harmonic excitation. (English) Zbl 07815615 ZAMM, Z. Angew. Math. Mech. 102, No. 9, Article ID e202100376, 19 p. (2022). MSC: 70K55 70K50 70K40 70-08 78A55 PDFBibTeX XMLCite \textit{L. Zhou} et al., ZAMM, Z. Angew. Math. Mech. 102, No. 9, Article ID e202100376, 19 p. (2022; Zbl 07815615) Full Text: DOI
Avrutin, Viktor; Bastian, Frank; Zhusubaliyev, Zhanybai T. A geometric approach to bubbling. (English) Zbl 1493.37059 Physica D 417, Article ID 132808, 24 p. (2021). MSC: 37G10 37E05 70K50 PDFBibTeX XMLCite \textit{V. Avrutin} et al., Physica D 417, Article ID 132808, 24 p. (2021; Zbl 1493.37059) Full Text: DOI
Morozov, Alexander Yu.; Reviznikov, Dmitry L. Modeling of dynamic systems with interval parameters in the presence of singularities. (English) Zbl 1459.37077 Russ. J. Nonlinear Dyn. 16, No. 3, 479-490 (2020). MSC: 37M20 37M05 65P30 65P20 PDFBibTeX XMLCite \textit{A. Yu. Morozov} and \textit{D. L. Reviznikov}, Russ. J. Nonlinear Dyn. 16, No. 3, 479--490 (2020; Zbl 1459.37077) Full Text: DOI MNR
Liu, Hu; Lv, Zheng Vibration and instability analysis of flow-conveying carbon nanotubes in the presence of material uncertainties. (English) Zbl 1514.74039 Physica A 511, 85-103 (2018). MSC: 74H45 65G40 82D80 PDFBibTeX XMLCite \textit{H. Liu} and \textit{Z. Lv}, Physica A 511, 85--103 (2018; Zbl 1514.74039) Full Text: DOI
Lü, Hui; Cai, Zicheng; Feng, Qianlang; Shangguan, Wen-Bin; Yu, Dejie An improved method for fuzzy-interval uncertainty analysis and its application in brake instability study. (English) Zbl 1440.74476 Comput. Methods Appl. Mech. Eng. 342, 142-160 (2018). MSC: 74S99 65G30 74H55 PDFBibTeX XMLCite \textit{H. Lü} et al., Comput. Methods Appl. Mech. Eng. 342, 142--160 (2018; Zbl 1440.74476) Full Text: DOI
Lü, Hui; Shangguan, Wen-Bin; Yu, Dejie A unified method and its application to brake instability analysis involving different types of epistemic uncertainties. (English) Zbl 1480.74096 Appl. Math. Modelling 56, 158-171 (2018). MSC: 74H10 74K99 03E72 PDFBibTeX XMLCite \textit{H. Lü} et al., Appl. Math. Modelling 56, 158--171 (2018; Zbl 1480.74096) Full Text: DOI
Cheng, Yan-Hsiou Eigenvalue problems with \(p\)-Laplacian operators. (English) Zbl 1300.34197 Electron. J. Differ. Equ. 2014, Paper No. 139, 11 p. (2014). MSC: 34L15 34B09 PDFBibTeX XMLCite \textit{Y.-H. Cheng}, Electron. J. Differ. Equ. 2014, Paper No. 139, 11 p. (2014; Zbl 1300.34197) Full Text: EMIS
Li, Zhenyang \(W\)-like maps with various instabilities of ACIM’s. (English) Zbl 1270.37027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350079, 16 p. (2013). MSC: 37E05 37A35 37A40 PDFBibTeX XMLCite \textit{Z. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350079, 16 p. (2013; Zbl 1270.37027) Full Text: DOI arXiv
Li, Zhenyang; Góra, Paweł Instability of the isolated spectrum for W-shaped maps. (English) Zbl 1277.37047 Ergodic Theory Dyn. Syst. 33, No. 4, 1052-1059 (2013). Reviewer: Anke Pohl (Göttingen) MSC: 37C30 37E05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{P. Góra}, Ergodic Theory Dyn. Syst. 33, No. 4, 1052--1059 (2013; Zbl 1277.37047) Full Text: DOI arXiv
Ikhile, M. N. O. The root and Bell’s disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. II: Round-off error analysis by use of interval arithmetic. (English) Zbl 1222.65044 Comput. Math. Appl. 61, No. 11, 3191-3217 (2011). MSC: 65H04 PDFBibTeX XMLCite \textit{M. N. O. Ikhile}, Comput. Math. Appl. 61, No. 11, 3191--3217 (2011; Zbl 1222.65044) Full Text: DOI
Zubov, I. V.; Zubova, A. F.; Strekopytov, S. A. Questions on robust stability and instability. (Russian. English summary) Zbl 1299.34191 Zh. Sredn. Mat. Obshch. 12, No. 3, 65-70 (2010). Reviewer: Tatiana Mamedova (Saransk) MSC: 34D20 93D09 PDFBibTeX XMLCite \textit{I. V. Zubov} et al., Zh. Sredn. Mat. Obshch. 12, No. 3, 65--70 (2010; Zbl 1299.34191)
Ivanov, Anatoli F. Global dynamics of a differential equation with piecewise constant argument. (English) Zbl 1239.34090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2384-e2389 (2009). MSC: 34K20 37C75 34K13 37E05 PDFBibTeX XMLCite \textit{A. F. Ivanov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2384--e2389 (2009; Zbl 1239.34090) Full Text: DOI
Osorio, Gustavo; Di Bernardo, Mario; Santini, Stefania Corner-impact bifurcations: a novel class of discontinuity-induced bifurcations in cam-follower systems. (English) Zbl 1167.34336 SIAM J. Appl. Dyn. Syst. 7, No. 1, 18-38 (2008). MSC: 34C23 34C15 34C28 34C60 37G15 37E05 70K50 34A36 PDFBibTeX XMLCite \textit{G. Osorio} et al., SIAM J. Appl. Dyn. Syst. 7, No. 1, 18--38 (2008; Zbl 1167.34336) Full Text: DOI arXiv
Kiraç, Alp Arslan On the instability intervals of the Mathieu–Hill operator. (English) Zbl 1173.47028 Lett. Math. Phys. 83, No. 2, 149-161 (2008). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47E05 34L20 34B30 34L40 PDFBibTeX XMLCite \textit{A. A. Kiraç}, Lett. Math. Phys. 83, No. 2, 149--161 (2008; Zbl 1173.47028) Full Text: DOI
Volkmer, Hans Instability intervals of the Ince and Hill equations. (English) Zbl 1124.34011 Analysis, München 25, No. 3, 189-204 (2005). Reviewer: Dieter Erle (Dortmund) MSC: 34B30 34D10 PDFBibTeX XMLCite \textit{H. Volkmer}, Analysis, München 25, No. 3, 189--204 (2005; Zbl 1124.34011) Full Text: DOI
Vasylenko, Anna; Maistrenko, Yuri; Feely, Orla; Feudel, Ulrike Mode-locking in quasiperiodically forced systems with very small driving frequency. (English) Zbl 1129.37328 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1643-1654 (2004). MSC: 37E05 37C99 37G99 70K50 PDFBibTeX XMLCite \textit{A. Vasylenko} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1643--1654 (2004; Zbl 1129.37328) Full Text: DOI
Mamode, Malik Length of the instability intervals for Hill’s equation. (English) Zbl 1065.34044 Lett. Math. Phys. 67, No. 2, 95-102 (2004). Reviewer: Rui Xu (Shijiazhuang) MSC: 34D20 34E05 34B30 PDFBibTeX XMLCite \textit{M. Mamode}, Lett. Math. Phys. 67, No. 2, 95--102 (2004; Zbl 1065.34044) Full Text: DOI
Lahmann, Jan-Rainer; Plum, Michael A computer-assisted instability proof for the Orr-Sommerfeld equation with blasius profile. (English) Zbl 1042.65061 ZAMM, Z. Angew. Math. Mech. 84, No. 3, 188-204 (2004). Reviewer: Amin Boumenir (Carrollton) MSC: 65L15 34L16 65G30 65L70 34B40 PDFBibTeX XMLCite \textit{J.-R. Lahmann} and \textit{M. Plum}, ZAMM, Z. Angew. Math. Mech. 84, No. 3, 188--204 (2004; Zbl 1042.65061) Full Text: DOI
Osipov, G.; Glatz, L.; Troger, H. Suppressing chaos in the Duffing oscillator by impulsive actions. (English) Zbl 0934.37036 Chaos Solitons Fractals 9, No. 1-2, 307-321 (1998). MSC: 37D45 37E05 34D45 70K50 93C15 PDFBibTeX XMLCite \textit{G. Osipov} et al., Chaos Solitons Fractals 9, No. 1--2, 307--321 (1998; Zbl 0934.37036) Full Text: DOI
Huang, Min-Jei The first instability interval for Hill equations with symmetric single well potentials. (English) Zbl 0865.34018 Proc. Am. Math. Soc. 125, No. 3, 775-778 (1997). Reviewer: K.R.Schneider (Berlin) MSC: 34B30 34L15 PDFBibTeX XMLCite \textit{M.-J. Huang}, Proc. Am. Math. Soc. 125, No. 3, 775--778 (1997; Zbl 0865.34018) Full Text: DOI
Brandon, J. A.; Benoit, E. A note on Sarkovskii’s theorem. (English) Zbl 0933.37037 Chaos Solitons Fractals 8, No. 10, 1587-1589 (1997). MSC: 37D45 37E05 70K50 PDFBibTeX XMLCite \textit{J. A. Brandon} and \textit{E. Benoit}, Chaos Solitons Fractals 8, No. 10, 1587--1589 (1997; Zbl 0933.37037) Full Text: DOI
Hunt, Brian R.; Ott, Edward Structure in the parameter dependence of order and chaos for the quadratic map. (English) Zbl 0930.37016 J. Phys. A, Math. Gen. 30, No. 20, 7067-7076 (1997). MSC: 37D45 37E05 PDFBibTeX XMLCite \textit{B. R. Hunt} and \textit{E. Ott}, J. Phys. A, Math. Gen. 30, No. 20, 7067--7076 (1997; Zbl 0930.37016) Full Text: DOI
Shivakumar, P. N.; Ye, Qiang Bounds for the width of the instability intervals in the Mathieu equation. (English) Zbl 0876.34031 Gohberg, I. (ed.) et al., Recent developments in operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 2-6, 1994. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 87, 348-357 (1996). Reviewer: E.Trofimtchouk (Kiev) MSC: 34B30 34L15 47B37 PDFBibTeX XMLCite \textit{P. N. Shivakumar} and \textit{Q. Ye}, in: Recent developments in operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 2-6, 1994. Basel: Birkhäuser. 348--357 (1996; Zbl 0876.34031)
Woods, L. C. Irreversible processes in a magnetoplasma. (English) Zbl 0821.76095 J. Non-Equilibrium Thermodyn. 19, No. 1, 61-75 (1994). MSC: 76X05 76E25 82C35 82D10 80A20 PDFBibTeX XMLCite \textit{L. C. Woods}, J. Non-Equilibrium Thermodyn. 19, No. 1, 61--75 (1994; Zbl 0821.76095) Full Text: DOI
Turyn, Lawrence The damped Mathieu equation. (English) Zbl 0776.34038 Q. Appl. Math. 51, No. 2, 389-398 (1993). MSC: 34D10 34C25 34B30 70J40 34E10 34A30 34C23 PDFBibTeX XMLCite \textit{L. Turyn}, Q. Appl. Math. 51, No. 2, 389--398 (1993; Zbl 0776.34038) Full Text: DOI
De la Llave, R.; Rana, D. Accurate strategies for K. A. M. bounds and their implementation. (English) Zbl 0747.65039 Computer aided proofs in analysis, Proc. IMA Participating Inst. Conf., Cincinnati/OH (USA), IMA Vol. Math. Appl. 28, 127-146 (1991). Reviewer: J.Albrycht (Poznań) MSC: 65J15 65G30 70K50 70F15 37J40 37C55 37C75 PDFBibTeX XMLCite \textit{R. De la Llave} and \textit{D. Rana}, IMA Vol. Math. Appl. 28, 127--146 (1991; Zbl 0747.65039)
Grigis, A. Sur l’équation de Hill analytique. (French) Zbl 0567.34023 Sémin. Équations Dériv. Partielles 1984-1985, Exp. No. 16, 12 p. (1985). Reviewer: St.Fenyö MSC: 34B30 34A25 PDFBibTeX XML Full Text: Numdam EuDML
Carrigan, C. R.; Busse, F. H. An experimental and theoretical investigation of the onset of convection in rotating spherical shells. (English) Zbl 0526.76055 J. Fluid Mech. 126, 287-305 (1983). MSC: 76E15 76E20 76U05 PDFBibTeX XMLCite \textit{C. R. Carrigan} and \textit{F. H. Busse}, J. Fluid Mech. 126, 287--305 (1983; Zbl 0526.76055) Full Text: DOI
Churilov, S. M.; Shukhman, I. G. Turbulence in a self-gravitating gaseous disk. II. Turbulence spectra. (English) Zbl 0554.76047 Sov. Astron. 26, 660-665 (1982). MSC: 76F99 85A05 76E20 PDFBibTeX XMLCite \textit{S. M. Churilov} and \textit{I. G. Shukhman}, Sov. Astron. 26, 660--665 (1982; Zbl 0554.76047)
Churilov, S. M.; Shukhman, I. G. Turbulence in a self-gravitating gaseous disk. II. Turbulent spectra. (Russian) Zbl 0499.76052 Astron. Zh. 59, 1093-1102 (1982). MSC: 76F99 85A05 76E20 PDFBibTeX XMLCite \textit{S. M. Churilov} and \textit{I. G. Shukhman}, Astron. Zh. 59, 1093--1102 (1982; Zbl 0499.76052)
Feigenbaum, Mitchell J. The metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence. (English) Zbl 0482.58021 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 330-336 (1980). MSC: 37G99 70K50 76F99 37D45 34C15 PDFBibTeX XML
Leonard, B. P. Note on the von Neumann stability of the explicit FTCS convective diffusion equation. (English) Zbl 0443.76049 Appl. Math. Modelling 4, 401-403 (1980). MSC: 76E15 65G99 65N22 76R99 PDFBibTeX XMLCite \textit{B. P. Leonard}, Appl. Math. Modelling 4, 401--403 (1980; Zbl 0443.76049) Full Text: DOI