Nagy, Ákos; Oliveira, Gonçalo On the bifurcation theory of the Ginzburg-Landau equations. (English) Zbl 07783137 Proc. Am. Math. Soc. 152, No. 2, 653-664 (2024). MSC: 35Q56 53C07 58E15 58J55 35B32 PDFBibTeX XMLCite \textit{Á. Nagy} and \textit{G. Oliveira}, Proc. Am. Math. Soc. 152, No. 2, 653--664 (2024; Zbl 07783137) Full Text: DOI arXiv
Ma, Zhihui; Li, Shenghua; Han, Shuyan Bifurcation and optimal control for an infectious disease model with the impact of information. (English) Zbl 1523.37096 Int. J. Biomath. 17, No. 1, Article ID 2350006, 37 p. (2024). MSC: 37N25 37G10 92D30 PDFBibTeX XMLCite \textit{Z. Ma} et al., Int. J. Biomath. 17, No. 1, Article ID 2350006, 37 p. (2024; Zbl 1523.37096) Full Text: DOI
Su, Keqin; Yang, Xin-Guang; Miranville, Alain; Yang, He Dynamics and robustness for the 2D Navier-Stokes equations with multi-delays in Lipschitz-like domains. (English) Zbl 1528.35099 Asymptotic Anal. 134, No. 3-4, 513-552 (2023). MSC: 35Q30 76D05 35B20 35B41 35B65 28A80 35R07 PDFBibTeX XMLCite \textit{K. Su} et al., Asymptotic Anal. 134, No. 3--4, 513--552 (2023; Zbl 1528.35099) Full Text: DOI
Achouri, Houssem; Aouiti, Chaouki Bogdanov-Takens and triple zero bifurcations for a neutral functional differential equations with multiple delays. (English) Zbl 07735765 J. Dyn. Differ. Equations 35, No. 1, 355-380 (2023). MSC: 34K18 34K17 34K40 34K19 PDFBibTeX XMLCite \textit{H. Achouri} and \textit{C. Aouiti}, J. Dyn. Differ. Equations 35, No. 1, 355--380 (2023; Zbl 07735765) Full Text: DOI
Wen, Tingting; Wang, Xiaoli; Zhang, Guohong Hopf bifurcation in a two-species reaction-diffusion-advection competitive model with nonlocal delay. (English) Zbl 1518.35058 Commun. Pure Appl. Anal. 22, No. 5, 1517-1544 (2023). MSC: 35B32 35B35 35K51 35K57 37L10 92D25 PDFBibTeX XMLCite \textit{T. Wen} et al., Commun. Pure Appl. Anal. 22, No. 5, 1517--1544 (2023; Zbl 1518.35058) Full Text: DOI
Ji, Yansu; Shen, Jianwei; Mao, Xiaochen Pattern formation of Brusselator in the reaction-diffusion system. (English) Zbl 1517.35121 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 434-459 (2023). MSC: 35K57 35B32 35B36 35K51 34H20 PDFBibTeX XMLCite \textit{Y. Ji} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 434--459 (2023; Zbl 1517.35121) Full Text: DOI
Qu, Xiaowei; Guo, Shangjiang Symmetry-breaking bifurcations in a delayed reaction-diffusion equation. (English) Zbl 1517.35027 Z. Angew. Math. Phys. 74, No. 2, Paper No. 76, 20 p. (2023). MSC: 35B32 35K20 35K57 92B20 PDFBibTeX XMLCite \textit{X. Qu} and \textit{S. Guo}, Z. Angew. Math. Phys. 74, No. 2, Paper No. 76, 20 p. (2023; Zbl 1517.35027) Full Text: DOI
Wen, Tingting; Wang, Xiaoli; Zhang, Guohong Hopf bifurcation in a reaction-diffusion-advection model with two nonlocal delayed density-dependent feedback terms. (English) Zbl 1510.35039 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107080, 25 p. (2023). MSC: 35B32 35B35 35K20 35K58 35R09 PDFBibTeX XMLCite \textit{T. Wen} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107080, 25 p. (2023; Zbl 1510.35039) Full Text: DOI
Anikushin, Mikhail; Romanov, Andrey Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO. (English) Zbl 1514.37101 Physica D 445, Article ID 133653, 15 p. (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 37M20 37M21 34C15 34C23 37G15 PDFBibTeX XMLCite \textit{M. Anikushin} and \textit{A. Romanov}, Physica D 445, Article ID 133653, 15 p. (2023; Zbl 1514.37101) Full Text: DOI arXiv
Krauskopf, Bernd; Sieber, Jan Bifurcation analysis of systems with delays: methods and their use in applications. (English) Zbl 1504.93182 Breda, Dimitri (ed.), Controlling delayed dynamics. Advances in theory, methods and applications. Cham: Springer. CISM Courses Lect. 604, 195-245 (2023). MSC: 93C23 34K18 PDFBibTeX XMLCite \textit{B. Krauskopf} and \textit{J. Sieber}, CISM Courses Lect. 604, 195--245 (2023; Zbl 1504.93182) Full Text: DOI arXiv
Wen, Tingting; Wang, Xiaoli; Zhang, Guohong Hopf bifurcation in a reaction-diffusion-advection model with nonlocal delay effect and Dirichlet boundary condition. (English) Zbl 1503.35027 J. Math. Anal. Appl. 519, No. 2, Article ID 126823, 29 p. (2023). Reviewer: Shangjiang Guo (Changsha) MSC: 35B32 35B10 35B35 35K20 35K57 35R10 PDFBibTeX XMLCite \textit{T. Wen} et al., J. Math. Anal. Appl. 519, No. 2, Article ID 126823, 29 p. (2023; Zbl 1503.35027) Full Text: DOI
Yan, Shuling; Du, Zengji Hopf bifurcation in a Lotka-Volterra competition-diffusion-advection model with time delay. (English) Zbl 1505.35030 J. Differ. Equations 344, 74-101 (2023). MSC: 35B32 35B35 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{S. Yan} and \textit{Z. Du}, J. Differ. Equations 344, 74--101 (2023; Zbl 1505.35030) Full Text: DOI
Li, Shuai; Yuan, Sanling; Wang, Hao Disease transmission dynamics of an epidemiological predator-prey system in open advective environments. (English) Zbl 1504.92143 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1480-1502 (2023). MSC: 92D30 92D25 35Q92 PDFBibTeX XMLCite \textit{S. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1480--1502 (2023; Zbl 1504.92143) Full Text: DOI
Guo, Cuiping; Guo, Shangjiang Stationary and oscillatory dynamics of Nicholson’s blowflies equation with Allee effect. (English) Zbl 1498.34187 Electron. J. Differ. Equ. 2022, Paper No. 67, 19 p. (2022). MSC: 34K18 35B32 35B35 35K57 35Q92 92D40 PDFBibTeX XMLCite \textit{C. Guo} and \textit{S. Guo}, Electron. J. Differ. Equ. 2022, Paper No. 67, 19 p. (2022; Zbl 1498.34187) Full Text: Link
Wei, Dan; Guo, Shangjiang Hopf bifurcation of a diffusive SIS epidemic system with delay in heterogeneous environment. (English) Zbl 1498.35040 Appl. Anal. 101, No. 16, 5906-5931 (2022). MSC: 35B32 35K51 35K57 35R10 92D30 PDFBibTeX XMLCite \textit{D. Wei} and \textit{S. Guo}, Appl. Anal. 101, No. 16, 5906--5931 (2022; Zbl 1498.35040) Full Text: DOI
Liu, Changfeng; Guo, Shangjiang Dynamics of a predator-prey system with nonlinear prey-taxis. (English) Zbl 1495.35172 Nonlinearity 35, No. 8, 4283-4316 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K57 35B32 35B35 PDFBibTeX XMLCite \textit{C. Liu} and \textit{S. Guo}, Nonlinearity 35, No. 8, 4283--4316 (2022; Zbl 1495.35172) Full Text: DOI
Kmit, Irina; Recke, Lutz Hopf bifurcation for general 1D semilinear wave equations with delay. (English) Zbl 1491.35012 J. Dyn. Differ. Equations 34, No. 2, 1393-1431 (2022). Reviewer: Guido Schneider (Stuttgart) MSC: 35B10 35B32 35L20 35L71 35R10 PDFBibTeX XMLCite \textit{I. Kmit} and \textit{L. Recke}, J. Dyn. Differ. Equations 34, No. 2, 1393--1431 (2022; Zbl 1491.35012) Full Text: DOI arXiv
Li, Shangzhi Generalized Hopf bifurcation of semilinear FDEs in general Banach spaces. (English) Zbl 1497.34101 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 4, Article ID 2250055, 16 p. (2022). MSC: 34K18 34K30 34K13 34K21 34K20 34K17 35K57 PDFBibTeX XMLCite \textit{S. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 4, Article ID 2250055, 16 p. (2022; Zbl 1497.34101) Full Text: DOI
Guo, Shangjiang; Li, Shangzhi Invariant measure and random attractors for stochastic differential equations with delay. (English) Zbl 1484.60067 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 40, 38 p. (2022). MSC: 60H15 37A50 37C70 60G15 60H05 PDFBibTeX XMLCite \textit{S. Guo} and \textit{S. Li}, Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 40, 38 p. (2022; Zbl 1484.60067) Full Text: DOI
Yanchuk, Serhiy; Wolfrum, Matthias; Pereira, Tiago; Turaev, Dmitry Absolute stability and absolute hyperbolicity in systems with discrete time-delays. (English) Zbl 1494.34165 J. Differ. Equations 318, 323-343 (2022). Reviewer: Jun Zhou (Chengdu) MSC: 34K20 34K06 34K08 PDFBibTeX XMLCite \textit{S. Yanchuk} et al., J. Differ. Equations 318, 323--343 (2022; Zbl 1494.34165) Full Text: DOI arXiv
Guo, Shangjiang Theory and applications of equivariant normal forms and Hopf bifurcation for semilinear FDEs in Banach spaces. (English) Zbl 1496.34112 J. Differ. Equations 317, 387-421 (2022). Reviewer: Neville Ford (Chester) MSC: 34K30 34K17 34K18 34K13 34K20 34K19 PDFBibTeX XMLCite \textit{S. Guo}, J. Differ. Equations 317, 387--421 (2022; Zbl 1496.34112) Full Text: DOI
Tian, Xuan; Guo, Shangjiang Spatio-temporal patterns of predator-prey model with Allee effect and constant stocking rate for predator. (English) Zbl 1486.35038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150249, 19 p. (2021). MSC: 35B32 35B36 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{X. Tian} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150249, 19 p. (2021; Zbl 1486.35038) Full Text: DOI
Ma, Li; Feng, Zhaosheng Stability and bifurcation in a two-species reaction-diffusion-advection competition model with time delay. (English) Zbl 1481.35039 Nonlinear Anal., Real World Appl. 61, Article ID 103327, 32 p. (2021). MSC: 35B32 35K51 35K57 35R10 92D25 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Feng}, Nonlinear Anal., Real World Appl. 61, Article ID 103327, 32 p. (2021; Zbl 1481.35039) Full Text: DOI
Deng, Shuning; Ji, Jinchen; Wen, Guilin; Xu, Huidong A comparative study of the dynamics of a three-disk dynamo system with and without time delay. (English) Zbl 1508.70029 Appl. Math. Comput. 399, Article ID 126016, 22 p. (2021). MSC: 70K50 34C23 34K18 37N15 86A25 PDFBibTeX XMLCite \textit{S. Deng} et al., Appl. Math. Comput. 399, Article ID 126016, 22 p. (2021; Zbl 1508.70029) Full Text: DOI
Humphries, A. R.; Magpantay, F. M. G. Lyapunov-Razumikhin techniques for state-dependent delay differential equations. (English) Zbl 1484.34156 J. Differ. Equations 304, 287-325 (2021). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34K20 34K43 PDFBibTeX XMLCite \textit{A. R. Humphries} and \textit{F. M. G. Magpantay}, J. Differ. Equations 304, 287--325 (2021; Zbl 1484.34156) Full Text: DOI arXiv
Ma, Li; Wei, Dan Hopf bifurcation of a delayed reaction-diffusion model with advection term. (English) Zbl 1470.92250 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112455, 21 p. (2021). MSC: 92D25 35B32 35K57 PDFBibTeX XMLCite \textit{L. Ma} and \textit{D. Wei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112455, 21 p. (2021; Zbl 1470.92250) Full Text: DOI
Liu, Changfeng; Guo, Shangjiang Steady states of Lotka-Volterra competition models with nonlinear cross-diffusion. (English) Zbl 1466.35246 J. Differ. Equations 292, 247-286 (2021). MSC: 35K57 35K51 35B32 35B35 92D40 PDFBibTeX XMLCite \textit{C. Liu} and \textit{S. Guo}, J. Differ. Equations 292, 247--286 (2021; Zbl 1466.35246) Full Text: DOI
Wei, Dan; Guo, Shangjiang Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system. (English) Zbl 1466.92161 Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2599-2623 (2021). MSC: 92D25 35K57 PDFBibTeX XMLCite \textit{D. Wei} and \textit{S. Guo}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2599--2623 (2021; Zbl 1466.92161) Full Text: DOI
Ruan, Shigui Nonlinear dynamics in tumor-immune system interaction models with delays. (English) Zbl 1468.34115 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 541-602 (2021). MSC: 34K60 34K21 34K20 34K13 34K18 34K23 92C37 PDFBibTeX XMLCite \textit{S. Ruan}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 541--602 (2021; Zbl 1468.34115) Full Text: DOI
Guo, Shangjiang Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition. (English) Zbl 1464.35015 J. Differ. Equations 289, 236-278 (2021). MSC: 35B32 35B35 35K20 35K57 35K61 35R09 92D40 PDFBibTeX XMLCite \textit{S. Guo}, J. Differ. Equations 289, 236--278 (2021; Zbl 1464.35015) Full Text: DOI
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong Oscillatory and stationary patterns in a diffusive model with delay effect. (English) Zbl 1461.35031 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2150035, 21 p. (2021). MSC: 35B32 35B35 35B36 35K51 35K57 58E09 PDFBibTeX XMLCite \textit{S. Guo} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2150035, 21 p. (2021; Zbl 1461.35031) Full Text: DOI
Wu, Ranchao; Zhang, Chuanying; Feng, Zhaosheng Hopf bifurcation in a delayed single species network system. (English) Zbl 1461.35036 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130008, 14 p. (2021). MSC: 35B32 35B35 35R10 39A12 35K57 37L10 92D25 PDFBibTeX XMLCite \textit{R. Wu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130008, 14 p. (2021; Zbl 1461.35036) Full Text: DOI
Budzinskiy, Stanislav; Razgulin, Alexander Pulsating and rotating spirals in a delayed feedback diffractive nonlinear optical system. (English) Zbl 1460.78020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2130002, 19 p. (2021). MSC: 78A60 78A45 35J05 35B36 35B32 35R07 65M06 65T50 65F05 PDFBibTeX XMLCite \textit{S. Budzinskiy} and \textit{A. Razgulin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2130002, 19 p. (2021; Zbl 1460.78020) Full Text: DOI arXiv
Luo, Chaoliang; Guo, Shangjiang; Hou, Aiyu Bifurcation of a class of stochastic delay differential equations. (English) Zbl 1499.34423 Filomat 34, No. 6, 1821-1834 (2020). MSC: 34K50 34F10 34K18 34K33 60H10 PDFBibTeX XMLCite \textit{C. Luo} et al., Filomat 34, No. 6, 1821--1834 (2020; Zbl 1499.34423) Full Text: DOI
Wang, Hong-Yong; Guo, Shangjiang; Li, Shangzhi Stationary solutions of advective Lotka-Volterra models with a weak Allee effect and large diffusion. (English) Zbl 1451.35022 Nonlinear Anal., Real World Appl. 56, Article ID 103171, 23 p. (2020). MSC: 35B32 35J57 35J61 35K57 92D25 PDFBibTeX XMLCite \textit{H.-Y. Wang} et al., Nonlinear Anal., Real World Appl. 56, Article ID 103171, 23 p. (2020; Zbl 1451.35022) Full Text: DOI
Páez Chávez, Joseph; Zhang, Zhi; Liu, Yang A numerical approach for the bifurcation analysis of nonsmooth delay equations. (English) Zbl 1451.65080 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105095, 16 p. (2020). MSC: 65L03 37M20 34A36 34K18 PDFBibTeX XMLCite \textit{J. Páez Chávez} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105095, 16 p. (2020; Zbl 1451.65080) Full Text: DOI
Balázs, István; Röst, Gergely Hopf bifurcation for Wright-type delay differential equations: the simplest formula, period estimates, and the absence of folds. (English) Zbl 1480.34095 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105188, 10 p. (2020). Reviewer: Haydar Akca (Abu Dhabi) MSC: 34K18 34K13 34K17 34K20 PDFBibTeX XMLCite \textit{I. Balázs} and \textit{G. Röst}, Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105188, 10 p. (2020; Zbl 1480.34095) Full Text: DOI
Li, Shangzhi; Guo, Shangjiang Hopf bifurcation for semilinear FDEs in general Banach spaces. (English) Zbl 1447.35038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050130, 9 p. (2020). MSC: 35B32 35K90 35K20 35K57 35R10 47D06 PDFBibTeX XMLCite \textit{S. Li} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050130, 9 p. (2020; Zbl 1447.35038) Full Text: DOI
Munsberg, L.; Javaloyes, J.; Gurevich, S. V. Topological localized states in the time delayed Adler model: bifurcation analysis and interaction law. (English) Zbl 1440.34074 Chaos 30, No. 6, 063137, 13 p. (2020). MSC: 34K18 34K60 78A60 PDFBibTeX XMLCite \textit{L. Munsberg} et al., Chaos 30, No. 6, 063137, 13 p. (2020; Zbl 1440.34074) Full Text: DOI arXiv
Doan, Aleksander; Walpuski, Thomas Deformation theory of the blown-up Seiberg-Witten equation in dimension three. (English) Zbl 1446.53043 Sel. Math., New Ser. 26, No. 3, Paper No. 48, 48 p. (2020). MSC: 53C27 53C07 81T13 57K41 57K31 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, Sel. Math., New Ser. 26, No. 3, Paper No. 48, 48 p. (2020; Zbl 1446.53043) Full Text: DOI arXiv
Li, Shangzhi; Guo, Shangjiang Dynamics of a stage-structured population model with a state-dependent delay. (English) Zbl 1448.34154 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3523-3551 (2020). MSC: 34K60 34K21 34K20 34K25 34K43 92D25 PDFBibTeX XMLCite \textit{S. Li} and \textit{S. Guo}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3523--3551 (2020; Zbl 1448.34154) Full Text: DOI
Martcheva, Maia; Inaba, Hisashi A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. (English) Zbl 1447.92450 J. Biol. Dyn. 14, No. 1, 543-565 (2020). MSC: 92D30 35Q92 92C60 35B32 PDFBibTeX XMLCite \textit{M. Martcheva} and \textit{H. Inaba}, J. Biol. Dyn. 14, No. 1, 543--565 (2020; Zbl 1447.92450) Full Text: DOI
Gao, Jianping; Guo, Shangjiang Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. (English) Zbl 1446.35220 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050074, 28 p. (2020). MSC: 35Q92 92D25 92C15 35B32 35B36 35D35 35A01 92-08 PDFBibTeX XMLCite \textit{J. Gao} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050074, 28 p. (2020; Zbl 1446.35220) Full Text: DOI
Guo, Shangjiang; Li, Shangzhi On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition. (English) Zbl 1448.35300 Appl. Math. Lett. 103, Article ID 106197, 7 p. (2020). MSC: 35K57 35B35 35K61 PDFBibTeX XMLCite \textit{S. Guo} and \textit{S. Li}, Appl. Math. Lett. 103, Article ID 106197, 7 p. (2020; Zbl 1448.35300) Full Text: DOI
Magpantay, F. M. G.; Humphries, A. R. Generalised Lyapunov-Razumikhin techniques for scalar state-dependent delay differential equations. (English) Zbl 1447.34063 Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 85-104 (2020). Reviewer: Nataliya O. Sedova (Ulyanovsk) MSC: 34K20 34K25 34K43 PDFBibTeX XMLCite \textit{F. M. G. Magpantay} and \textit{A. R. Humphries}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 85--104 (2020; Zbl 1447.34063) Full Text: DOI arXiv
Ma, Li; Xie, Xianhua Bifurcation analysis of coexistent state in a delayed two-species predator-prey model. (English) Zbl 1439.35041 Appl. Anal. 99, No. 7, 1195-1217 (2020). MSC: 35B32 35K51 35K57 35K58 92D25 PDFBibTeX XMLCite \textit{L. Ma} and \textit{X. Xie}, Appl. Anal. 99, No. 7, 1195--1217 (2020; Zbl 1439.35041) Full Text: DOI
Chen, Shuang; Shen, Jun Large spectral gap induced by small delay and its application to reduction. (English) Zbl 1442.34103 Discrete Contin. Dyn. Syst. 40, No. 7, 4533-4564 (2020). Reviewer: Vladimir Răsvan (Craiova) MSC: 34K06 34K08 34K17 34K19 34K40 PDFBibTeX XMLCite \textit{S. Chen} and \textit{J. Shen}, Discrete Contin. Dyn. Syst. 40, No. 7, 4533--4564 (2020; Zbl 1442.34103) Full Text: DOI
Feehan, Paul M. N. On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half. (English) Zbl 1444.32029 Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 87, 50 p. (2020). Reviewer: Tadeusz Krasiński (Łódź) MSC: 32S05 14P15 58E05 PDFBibTeX XMLCite \textit{P. M. N. Feehan}, Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 87, 50 p. (2020; Zbl 1444.32029) Full Text: DOI arXiv
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi Stability and bifurcation in a predator-prey system with prey-taxis. (English) Zbl 1435.35395 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050022, 25 p. (2020). MSC: 35Q92 35K57 35B35 35B32 35B10 PDFBibTeX XMLCite \textit{H. Qiu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050022, 25 p. (2020; Zbl 1435.35395) Full Text: DOI
He, Xiaolong; Yuan, Xiaoping Construction of quasi-periodic solutions for delayed perturbation differential equations. (English) Zbl 1442.34113 J. Differ. Equations 268, No. 12, 8026-8061 (2020). Reviewer: Syed Abbas (Mandi) MSC: 34K14 34K06 34K10 34K17 34K27 PDFBibTeX XMLCite \textit{X. He} and \textit{X. Yuan}, J. Differ. Equations 268, No. 12, 8026--8061 (2020; Zbl 1442.34113) Full Text: DOI arXiv
Li, Shangzhi; Guo, Shangjiang Stability and Hopf bifurcation in a Hutchinson model. (English) Zbl 1428.35034 Appl. Math. Lett. 101, Article ID 106066, 7 p. (2020). MSC: 35B32 35B10 35K20 35K57 92D40 PDFBibTeX XMLCite \textit{S. Li} and \textit{S. Guo}, Appl. Math. Lett. 101, Article ID 106066, 7 p. (2020; Zbl 1428.35034) Full Text: DOI
Pei, Lijun; Wang, Shuo Double Hopf bifurcation of differential equation with linearly state-dependent delays via MMS. (English) Zbl 1428.34127 Appl. Math. Comput. 341, 256-276 (2019). MSC: 34K60 34K18 34K20 37G05 34K23 PDFBibTeX XMLCite \textit{L. Pei} and \textit{S. Wang}, Appl. Math. Comput. 341, 256--276 (2019; Zbl 1428.34127) Full Text: DOI
Pan, Xuejun; Shu, Hongying; Wang, Lin; Wang, Xiang-Sheng Dirichlet problem for a delayed diffusive hematopoiesis model. (English) Zbl 1447.35334 Nonlinear Anal., Real World Appl. 48, 493-516 (2019). MSC: 35Q92 92C37 35B35 35B32 35B10 35R07 35A01 35A02 PDFBibTeX XMLCite \textit{X. Pan} et al., Nonlinear Anal., Real World Appl. 48, 493--516 (2019; Zbl 1447.35334) Full Text: DOI
Wang, Chuncheng; Wei, Junjie Hopf bifurcations for neutral functional differential equations with infinite delays. (English) Zbl 1428.34097 Funkc. Ekvacioj, Ser. Int. 62, No. 1, 95-127 (2019). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34K18 34K40 34K08 34K06 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Wei}, Funkc. Ekvacioj, Ser. Int. 62, No. 1, 95--127 (2019; Zbl 1428.34097) Full Text: DOI
Church, Kevin E. M.; Liu, Xinzhi Cost-effective robust stabilization and bifurcation suppression. (English) Zbl 1429.34076 SIAM J. Control Optim. 57, No. 3, 2240-2268 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 34K35 34K20 34K18 34K45 PDFBibTeX XMLCite \textit{K. E. M. Church} and \textit{X. Liu}, SIAM J. Control Optim. 57, No. 3, 2240--2268 (2019; Zbl 1429.34076) Full Text: DOI
Métivier, David; Gupta, Shamik Bifurcations in the time-delayed Kuramoto model of coupled oscillators: exact results. (English) Zbl 1448.34075 J. Stat. Phys. 176, No. 2, 279-298 (2019). MSC: 34C15 34D06 34C23 PDFBibTeX XMLCite \textit{D. Métivier} and \textit{S. Gupta}, J. Stat. Phys. 176, No. 2, 279--298 (2019; Zbl 1448.34075) Full Text: DOI arXiv
Wu, Xiaoqin P.; Wang, Liancheng Normal form of double-Hopf singularity with 1:1 resonance for delayed differential equations. (English) Zbl 1426.34089 Nonlinear Anal., Model. Control 24, No. 2, 241-260 (2019). Reviewer: Neville Ford (Chester) MSC: 34K18 34K17 34K19 34K13 PDFBibTeX XMLCite \textit{X. P. Wu} and \textit{L. Wang}, Nonlinear Anal., Model. Control 24, No. 2, 241--260 (2019; Zbl 1426.34089) Full Text: DOI
Church, Kevin E. M.; Liu, Xinzhi Computation of centre manifolds and some codimension-one bifurcations for impulsive delay differential equations. (English) Zbl 1435.34079 J. Differ. Equations 267, No. 6, 3852-3921 (2019). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34K45 34K19 34K18 34K13 PDFBibTeX XMLCite \textit{K. E. M. Church} and \textit{X. Liu}, J. Differ. Equations 267, No. 6, 3852--3921 (2019; Zbl 1435.34079) Full Text: DOI
Sun, Xiuli; Yuan, Rong; Wang, Luan Bifurcations in a diffusive predator-prey model with Beddington-DeAngelis functional response and nonselective harvesting. (English) Zbl 1415.37111 J. Nonlinear Sci. 29, No. 1, 287-318 (2019). MSC: 37N25 92D25 35Q92 35B32 37K50 35B10 35B35 37G10 37G15 PDFBibTeX XMLCite \textit{X. Sun} et al., J. Nonlinear Sci. 29, No. 1, 287--318 (2019; Zbl 1415.37111) Full Text: DOI
Pei, Lijun; Wang, Shuo; Wiercigroch, Marian Analysis of Hopf bifurcations in differential equations with state-dependent delays via multiple scales method. (English) Zbl 07776870 ZAMM, Z. Angew. Math. Mech. 98, No. 5, 789-801 (2018). MSC: 34Exx 34-XX 34Kxx PDFBibTeX XMLCite \textit{L. Pei} et al., ZAMM, Z. Angew. Math. Mech. 98, No. 5, 789--801 (2018; Zbl 07776870) Full Text: DOI
Sounvoravong, Bounsanong; Gao, Jianping; Guo, Shangjiang Bifurcation analysis of a diffusive predator-prey system with nonmonotonic functional response. (English) Zbl 1422.92130 Nonlinear Dyn. 94, No. 4, 2901-2918 (2018). MSC: 92D25 35J20 35J60 PDFBibTeX XMLCite \textit{B. Sounvoravong} et al., Nonlinear Dyn. 94, No. 4, 2901--2918 (2018; Zbl 1422.92130) Full Text: DOI
Zou, Rong; Guo, Shangjiang Dynamics in a diffusive predator-prey system with ratio-dependent predator influence. (English) Zbl 1409.92218 Comput. Math. Appl. 75, No. 4, 1237-1258 (2018). MSC: 92D25 PDFBibTeX XMLCite \textit{R. Zou} and \textit{S. Guo}, Comput. Math. Appl. 75, No. 4, 1237--1258 (2018; Zbl 1409.92218) Full Text: DOI
Wang, Yan; Liu, Xianning; Wei, Yangjiang Dynamics of a stage-structured single population model with state-dependent delay. (English) Zbl 1448.92254 Adv. Difference Equ. 2018, Paper No. 364, 15 p. (2018). MSC: 92D25 34K20 37N25 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Difference Equ. 2018, Paper No. 364, 15 p. (2018; Zbl 1448.92254) Full Text: DOI
Yan, Shuling; Guo, Shangjiang Dynamics of a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity. (English) Zbl 1396.92076 Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1559-1579 (2018). MSC: 92D25 35K57 35B35 PDFBibTeX XMLCite \textit{S. Yan} and \textit{S. Guo}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1559--1579 (2018; Zbl 1396.92076) Full Text: DOI
Li, Dong; Guo, Shangjiang Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect. (English) Zbl 1397.35059 J. Math. Anal. Appl. 467, No. 2, 1080-1099 (2018). MSC: 35C07 92C17 35K57 PDFBibTeX XMLCite \textit{D. Li} and \textit{S. Guo}, J. Math. Anal. Appl. 467, No. 2, 1080--1099 (2018; Zbl 1397.35059) Full Text: DOI
Li, Dong; Guo, Shangjiang Stability and Hopf bifurcation in a reaction-diffusion model with chemotaxis and nonlocal delay effect. (English) Zbl 1390.35378 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 4, Article ID 1850046, 25 p. (2018). MSC: 35Q92 35R10 35B32 35B35 35B10 PDFBibTeX XMLCite \textit{D. Li} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 4, Article ID 1850046, 25 p. (2018; Zbl 1390.35378) Full Text: DOI
Guo, Shangjiang Patterns in a nonlocal time-delayed reaction-diffusion equation. (English) Zbl 1499.35341 Z. Angew. Math. Phys. 69, No. 1, Paper No. 10, 31 p. (2018). MSC: 35K57 35B32 35B35 35K91 35Q92 35R09 35R10 92D40 PDFBibTeX XMLCite \textit{S. Guo}, Z. Angew. Math. Phys. 69, No. 1, Paper No. 10, 31 p. (2018; Zbl 1499.35341) Full Text: DOI
Budzinskiy, Stanislav S.; Razgulin, A. V. Rotating and standing waves in a diffractive nonlinear optical system with delayed feedback under \(O(2)\) Hopf bifurcation. (English) Zbl 1510.92059 Commun. Nonlinear Sci. Numer. Simul. 49, 17-29 (2017). MSC: 92C30 PDFBibTeX XMLCite \textit{S. S. Budzinskiy} and \textit{A. V. Razgulin}, Commun. Nonlinear Sci. Numer. Simul. 49, 17--29 (2017; Zbl 1510.92059) Full Text: DOI
Han, Renji; Dai, Binxiang Hopf bifurcation in a reaction-diffusive two-species model with nonlocal delay effect and general functional response. (English) Zbl 1372.35033 Chaos Solitons Fractals 96, 90-109 (2017). MSC: 35B32 35B35 35K57 92D25 PDFBibTeX XMLCite \textit{R. Han} and \textit{B. Dai}, Chaos Solitons Fractals 96, 90--109 (2017; Zbl 1372.35033) Full Text: DOI
Yan, Shuling; Guo, Shangjiang Bifurcation phenomena in a Lotka-Volterra model with cross-diffusion and delay effect. (English) Zbl 1370.35259 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750105, 24 p. (2017). MSC: 35Q92 35B32 35B10 35R10 35B35 PDFBibTeX XMLCite \textit{S. Yan} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750105, 24 p. (2017; Zbl 1370.35259) Full Text: DOI
Calleja, R. C.; Humphries, A. R.; Krauskopf, B. Resonance phenomena in a scalar delay differential equation with two state-dependent delays. (English) Zbl 1371.34115 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1474-1513 (2017). MSC: 34K18 37M20 34K06 34K17 34K23 PDFBibTeX XMLCite \textit{R. C. Calleja} et al., SIAM J. Appl. Dyn. Syst. 16, No. 3, 1474--1513 (2017; Zbl 1371.34115) Full Text: DOI arXiv
Yan, Shuling; Guo, Shangjiang Stability analysis of a stage structure model with spatiotemporal delay effect. (English) Zbl 1368.92164 Comput. Math. Appl. 73, No. 2, 310-326 (2017). MSC: 92D25 35B35 35K51 PDFBibTeX XMLCite \textit{S. Yan} and \textit{S. Guo}, Comput. Math. Appl. 73, No. 2, 310--326 (2017; Zbl 1368.92164) Full Text: DOI
Zou, Rong; Guo, Shangjiang Bifurcation of reaction cross-diffusion systems. (English) Zbl 1366.35089 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750049, 22 p. (2017). MSC: 35K57 35J57 35B35 35B32 35B10 92D25 PDFBibTeX XMLCite \textit{R. Zou} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750049, 22 p. (2017; Zbl 1366.35089) Full Text: DOI
Li, Dong; Guo, Shangjiang Bifurcation and stability of a Mimura-Tsujikawa model with nonlocal delay effect. (English) Zbl 1370.35041 Math. Methods Appl. Sci. 40, No. 6, 2219-2247 (2017). Reviewer: Alois Steindl (Wien) MSC: 35B32 35B35 35K57 35Q92 92C17 92D40 34K18 PDFBibTeX XMLCite \textit{D. Li} and \textit{S. Guo}, Math. Methods Appl. Sci. 40, No. 6, 2219--2247 (2017; Zbl 1370.35041) Full Text: DOI
Luo, Chaoliang; Guo, Shangjiang Stability and bifurcation of two-dimensional stochastic differential equations with multiplicative excitations. (English) Zbl 1365.34103 Bull. Malays. Math. Sci. Soc. (2) 40, No. 2, 795-817 (2017). MSC: 34F10 60H10 34F05 34D20 PDFBibTeX XMLCite \textit{C. Luo} and \textit{S. Guo}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 2, 795--817 (2017; Zbl 1365.34103) Full Text: DOI
Yanchuk, Serhiy; Giacomelli, Giovanni Spatio-temporal phenomena in complex systems with time delays. (English) Zbl 1375.37111 J. Phys. A, Math. Theor. 50, No. 10, Article ID 103001, 56 p. (2017). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37D45 34C28 65P20 PDFBibTeX XMLCite \textit{S. Yanchuk} and \textit{G. Giacomelli}, J. Phys. A, Math. Theor. 50, No. 10, Article ID 103001, 56 p. (2017; Zbl 1375.37111) Full Text: DOI
Ma, Li; Guo, Shangjiang Stability and bifurcation in a diffusive Lotka-Volterra system with delay. (English) Zbl 1443.92162 Comput. Math. Appl. 72, No. 1, 147-177 (2016). MSC: 92D25 35B32 35B35 35K51 PDFBibTeX XMLCite \textit{L. Ma} and \textit{S. Guo}, Comput. Math. Appl. 72, No. 1, 147--177 (2016; Zbl 1443.92162) Full Text: DOI
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; Huang, Chengming Double-implicit and split two-step Milstein schemes for stochastic differential equations. (English) Zbl 1355.65013 Int. J. Comput. Math. 93, No. 12, 1987-2011 (2016). MSC: 65C30 60H35 65L20 PDFBibTeX XMLCite \textit{F. Jiang} et al., Int. J. Comput. Math. 93, No. 12, 1987--2011 (2016; Zbl 1355.65013) Full Text: DOI
Humphries, A. R.; Bernucci, D. A.; Calleja, R. C.; Homayounfar, N.; Snarski, M. Periodic solutions of a singularly perturbed delay differential equation with two state-dependent delays. (English) Zbl 1353.34083 J. Dyn. Differ. Equations 28, No. 3-4, 1215-1263 (2016). MSC: 34K13 34K18 34K26 34K28 PDFBibTeX XMLCite \textit{A. R. Humphries} et al., J. Dyn. Differ. Equations 28, No. 3--4, 1215--1263 (2016; Zbl 1353.34083) Full Text: DOI arXiv
Hou, Aiyu; Guo, Shangjiang Stability and bifurcation in a state-dependent delayed predator-prey system. (English) Zbl 1338.34159 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650060, 15 p. (2016). MSC: 34K60 92D25 34K20 34K18 34K13 PDFBibTeX XMLCite \textit{A. Hou} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650060, 15 p. (2016; Zbl 1338.34159) Full Text: DOI
Guo, Shangjiang; Ma, Li Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. (English) Zbl 1335.35120 J. Nonlinear Sci. 26, No. 2, 545-580 (2016). MSC: 35K57 35B32 35B35 35R10 92D25 PDFBibTeX XMLCite \textit{S. Guo} and \textit{L. Ma}, J. Nonlinear Sci. 26, No. 2, 545--580 (2016; Zbl 1335.35120) Full Text: DOI
Guo, Shangjiang; Yan, Shuling Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect. (English) Zbl 1330.35029 J. Differ. Equations 260, No. 1, 781-817 (2016). MSC: 35B32 35B35 35K57 35Q92 92D40 35R09 35R10 37L10 PDFBibTeX XMLCite \textit{S. Guo} and \textit{S. Yan}, J. Differ. Equations 260, No. 1, 781--817 (2016; Zbl 1330.35029) Full Text: DOI
Guo, Shangjiang; Li, Jie Bifurcation theory of functional differential equations: a survey. (English) Zbl 1452.34002 J. Appl. Anal. Comput. 5, No. 4, 751-766 (2015). Reviewer: Changjin Xu (Guiyang) MSC: 34-02 34K18 34K17 47N20 PDFBibTeX XMLCite \textit{S. Guo} and \textit{J. Li}, J. Appl. Anal. Comput. 5, No. 4, 751--766 (2015; Zbl 1452.34002) Full Text: DOI
Schumacher, Johannes; Wunderle, Thomas; Fries, Pascal; Jäkel, Frank; Pipa, Gordon A statistical framework to infer delay and direction of information flow from measurements of complex systems. (English) Zbl 1418.62352 Neural Comput. 27, No. 8, 1555-1608 (2015). MSC: 62M10 92B20 PDFBibTeX XMLCite \textit{J. Schumacher} et al., Neural Comput. 27, No. 8, 1555--1608 (2015; Zbl 1418.62352) Full Text: DOI
Toutounji, Hazem; Schumacher, Johannes; Pipa, Gordon Homeostatic plasticity for single node delay-coupled reservoir computing. (English) Zbl 1473.68173 Neural Comput. 27, No. 6, 1159-1185 (2015). MSC: 68T05 37M10 68Q06 92B20 PDFBibTeX XMLCite \textit{H. Toutounji} et al., Neural Comput. 27, No. 6, 1159--1185 (2015; Zbl 1473.68173) Full Text: DOI
Luo, Chaoliang; Guo, Shangjiang Stability and bifurcation of a class of stochastic closed orbit equations. (English) Zbl 1327.34110 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550148, 16 p. (2015). MSC: 34F10 34D20 34F05 93E15 93E12 PDFBibTeX XMLCite \textit{C. Luo} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550148, 16 p. (2015; Zbl 1327.34110) Full Text: DOI
Hou, Aiyu; Guo, Shangjiang Stability and Hopf bifurcation in van der Pol oscillators with state-dependent delayed feedback. (English) Zbl 1331.34140 Nonlinear Dyn. 79, No. 4, 2407-2419 (2015). MSC: 34K18 34K27 34K25 92B20 37G40 37G05 PDFBibTeX XMLCite \textit{A. Hou} and \textit{S. Guo}, Nonlinear Dyn. 79, No. 4, 2407--2419 (2015; Zbl 1331.34140) Full Text: DOI
Zhang, Chunrui (ed.); Zheng, Baodong (ed.); Wang, Liancheng (ed.) Dynamic systems and related algebra with applications. (English) Zbl 1298.00195 Abstr. Appl. Anal. 2013, Article ID 474951, 2 p. (2013). MSC: 00B15 37-06 PDFBibTeX XMLCite \textit{C. Zhang} (ed.) et al., Abstr. Appl. Anal. 2013, Article ID 474951, 2 p. (2013; Zbl 1298.00195) Full Text: DOI