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Liang, Zaitao; Li, Shengjun; Li, Xin Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices. (English) Zbl 1518.34051 Adv. Nonlinear Anal. 12, Article ID 20220287, 20 p. (2023). Reviewer: Joan Torregrosa (Barcelona) MSC: 34C25 34C27 PDFBibTeX XMLCite \textit{Z. Liang} et al., Adv. Nonlinear Anal. 12, Article ID 20220287, 20 p. (2023; Zbl 1518.34051) Full Text: DOI
Markov, Svetoslav Marinov The Gompertz model revisited and modified using reaction networks: mathematical analysis. (English) Zbl 1505.92317 Biomath 10, No. 2, Article ID 2110023, 21 p. (2021). MSC: 92E20 34C60 PDFBibTeX XMLCite \textit{S. M. Markov}, Biomath 10, No. 2, Article ID 2110023, 21 p. (2021; Zbl 1505.92317) Full Text: DOI
Buhler, Cassidy K.; Terry, Rebecca S.; Link, Kathryn G.; Adler, Frederick R. Do mechanisms matter? Comparing cancer treatment strategies across mathematical models and outcome objectives. (English) Zbl 1501.92042 Math. Biosci. Eng. 18, No. 5, 6305-6327 (2021). MSC: 92C50 34C60 PDFBibTeX XMLCite \textit{C. K. Buhler} et al., Math. Biosci. Eng. 18, No. 5, 6305--6327 (2021; Zbl 1501.92042) Full Text: DOI
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Vittadello, Sean T.; McCue, Scott W.; Gunasingh, Gency; Haass, Nikolas K.; Simpson, Matthew J. A novel mathematical model of heterogeneous cell proliferation. (English) Zbl 1460.92069 J. Math. Biol. 82, No. 5, Paper No. 34, 30 p. (2021). MSC: 92C37 34K20 45J05 PDFBibTeX XMLCite \textit{S. T. Vittadello} et al., J. Math. Biol. 82, No. 5, Paper No. 34, 30 p. (2021; Zbl 1460.92069) Full Text: DOI arXiv
Dritschel, David G. Equilibria and stability of four point vortices on a sphere. (English) Zbl 1472.70029 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200344, 26 p. (2020). MSC: 70F10 34C40 34D20 70K20 PDFBibTeX XMLCite \textit{D. G. Dritschel}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200344, 26 p. (2020; Zbl 1472.70029) Full Text: DOI
Koiller, Jair Getting into the vortex: on the contributions of James Montaldi. (English) Zbl 1452.76004 J. Geom. Mech. 12, No. 3, 507-523 (2020). MSC: 76-03 76B47 76M60 34C23 37E35 01A60 PDFBibTeX XMLCite \textit{J. Koiller}, J. Geom. Mech. 12, No. 3, 507--523 (2020; Zbl 1452.76004) Full Text: DOI
Hu, Xijun; Portaluri, Alessandro; Xing, Qin Morse index and stability of the planar \(N\)-vortex problem. (English) Zbl 1475.70017 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 76, 39 p. (2020). MSC: 70H14 70F15 37J25 34D20 37N10 76B47 PDFBibTeX XMLCite \textit{X. Hu} et al., Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 76, 39 p. (2020; Zbl 1475.70017) Full Text: DOI arXiv
Cheng, Hongyu; de la Llave, Rafael Stable manifolds to bounded solutions in possibly ill-posed PDEs. (English) Zbl 1448.35564 J. Differ. Equations 268, No. 8, 4830-4899 (2020). MSC: 35R25 37L10 35Q56 34D35 37L25 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. de la Llave}, J. Differ. Equations 268, No. 8, 4830--4899 (2020; Zbl 1448.35564) Full Text: DOI
Kurakin, Leonid G.; Lysenko, Irina A.; Ostrovskaya, Irina V.; Sokolovskiy, Mikhail A. On stability of the Thomson’s vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid. (English) Zbl 1423.76076 J. Nonlinear Sci. 29, No. 4, 1659-1700 (2019). MSC: 76B47 76E20 34D20 PDFBibTeX XMLCite \textit{L. G. Kurakin} et al., J. Nonlinear Sci. 29, No. 4, 1659--1700 (2019; Zbl 1423.76076) Full Text: DOI
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos Choreographies in the \(n\)-vortex problem. (English) Zbl 1415.37077 Regul. Chaotic Dyn. 23, No. 5, 595-612 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37J25 34C25 37G40 47H11 54F45 76B47 70F10 PDFBibTeX XMLCite \textit{R. C. Calleja} et al., Regul. Chaotic Dyn. 23, No. 5, 595--612 (2018; Zbl 1415.37077) Full Text: DOI arXiv
Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. (English) Zbl 1405.76008 J. Geom. Mech. 10, No. 2, 189-208 (2018). MSC: 76B47 34C28 53Z05 PDFBibTeX XMLCite \textit{A. R. Rodrigues} et al., J. Geom. Mech. 10, No. 2, 189--208 (2018; Zbl 1405.76008) Full Text: DOI
Xu, Zhiguo; Bao, Weizhu; Shi, Shaoyun Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law. (English) Zbl 1405.34042 Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2265-2297 (2018). MSC: 34C60 34D05 34A33 34A05 82D55 34C45 34D20 PDFBibTeX XMLCite \textit{Z. Xu} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2265--2297 (2018; Zbl 1405.34042) Full Text: DOI arXiv
Kurakin, Leonid G.; Ostrovskaya, Irina V. On stability of thomson’s vortex \(N\)-gon in the geostrophic model of the point Bessel vortices. (English) Zbl 1401.76037 Regul. Chaotic Dyn. 22, No. 7, 865-879 (2017). MSC: 76B47 76E20 34D20 PDFBibTeX XMLCite \textit{L. G. Kurakin} and \textit{I. V. Ostrovskaya}, Regul. Chaotic Dyn. 22, No. 7, 865--879 (2017; Zbl 1401.76037) Full Text: DOI
Giorgio-Serchi, F.; Weymouth, G. D. Drag cancellation by added-mass pumping. (English) Zbl 1422.74029 J. Fluid Mech. 798, Paper No. R3, 11 p. (2016). MSC: 74F10 92C05 34C15 76D05 PDFBibTeX XMLCite \textit{F. Giorgio-Serchi} and \textit{G. D. Weymouth}, J. Fluid Mech. 798, Paper No. R3, 11 p. (2016; Zbl 1422.74029) Full Text: DOI arXiv Link
Kurakin, Leonid; Melekhov, Andrey; Ostrovskaya, Irina A survey of the stability criteria of Thomson’s vortex polygons outside a circular domain. (English) Zbl 1348.76041 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 733-744 (2016). MSC: 76B47 34D20 70K30 PDFBibTeX XMLCite \textit{L. Kurakin} et al., Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 733--744 (2016; Zbl 1348.76041) Full Text: DOI
Panayotounakos, D. E.; Zarmpoutis, T. I.; Siettos, C. I. On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation. (English) Zbl 1293.35303 Arch. Appl. Mech. 82, No. 10-11, 1557-1568 (2012). MSC: 35Q55 35C05 34A05 PDFBibTeX XMLCite \textit{D. E. Panayotounakos} et al., Arch. Appl. Mech. 82, No. 10--11, 1557--1568 (2012; Zbl 1293.35303) Full Text: DOI
Kurakin, Leonid G. On the stability of Thomson’s vortex pentagon inside a circular domain. (English) Zbl 1270.76018 Regul. Chaotic Dyn. 17, No. 2, 150-169 (2012). MSC: 76B47 34D20 70K30 PDFBibTeX XMLCite \textit{L. G. Kurakin}, Regul. Chaotic Dyn. 17, No. 2, 150--169 (2012; Zbl 1270.76018) Full Text: DOI
Leung, Shingyu An Eulerian approach for computing the finite time Lyapunov exponent. (English) Zbl 1316.65113 J. Comput. Phys. 230, No. 9, 3500-3524 (2011). MSC: 65P40 34D08 PDFBibTeX XMLCite \textit{S. Leung}, J. Comput. Phys. 230, No. 9, 3500--3524 (2011; Zbl 1316.65113) Full Text: DOI
Lekien, Francois; Ross, Shane D. The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds. (English) Zbl 1311.76109 Chaos 20, No. 1, 017505, 20 p. (2010). MSC: 76M25 37M25 34D08 PDFBibTeX XMLCite \textit{F. Lekien} and \textit{S. D. Ross}, Chaos 20, No. 1, 017505, 20 p. (2010; Zbl 1311.76109) Full Text: DOI Link
Kurakin, L. G. On the stability of Thomson’s vortex configurations inside a circular domain. (English) Zbl 1229.37055 Regul. Chaotic Dyn. 15, No. 1, 40-58 (2010). MSC: 37J25 37J40 37N10 76B47 34D20 70K30 PDFBibTeX XMLCite \textit{L. G. Kurakin}, Regul. Chaotic Dyn. 15, No. 1, 40--58 (2010; Zbl 1229.37055) Full Text: DOI
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Mancas, Stefan; Roy Choudhury, S. Bifurcations and competing coherent structures in the cubic-quintic Ginzburg–Landau equation. I: Plane wave (CW) solutions. (English) Zbl 1095.34021 Chaos Solitons Fractals 27, No. 5, 1256-1271 (2006). Reviewer: Guy Katriel (Haifa) MSC: 34C23 34C20 35Q55 37L10 PDFBibTeX XMLCite \textit{S. Mancas} and \textit{S. Roy Choudhury}, Chaos Solitons Fractals 27, No. 5, 1256--1271 (2006; Zbl 1095.34021) Full Text: DOI arXiv
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Lan, Yueheng; Garnier, Nicolas; Cvitanović, Predrag Stationary modulated-amplitude waves in the 1D complex Ginzburg-Landau equation. (English) Zbl 1046.37036 Physica D 188, No. 3-4, 193-212 (2004). MSC: 37G40 35Q53 34C25 76E30 37N99 PDFBibTeX XMLCite \textit{Y. Lan} et al., Physica D 188, No. 3--4, 193--212 (2004; Zbl 1046.37036) Full Text: DOI arXiv
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