Ahmed, Nauman; Korkamaz, Alper; Rehman, M. A.; Rafiq, M.; Ali, Mubasher; Ahmad, M. O. Computational modelling and bifurcation analysis of reaction diffusion epidemic system with modified nonlinear incidence rate. (English) Zbl 07476588 Int. J. Comput. Math. 98, No. 3, 517-535 (2021). MSC: 65-XX 35K57 65N06 65P30 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Int. J. Comput. Math. 98, No. 3, 517--535 (2021; Zbl 07476588) Full Text: DOI
Wei, Lijun; Zhang, Qingjing; Zhang, Xiang On limit cycles near two centres and a double homoclinic loop in Liénard differential system. (English) Zbl 1482.34098 J. Differ. Equations 300, 226-251 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C29 37M20 37J40 34C23 34C05 PDFBibTeX XMLCite \textit{L. Wei} et al., J. Differ. Equations 300, 226--251 (2021; Zbl 1482.34098) Full Text: DOI
Xie, Shuangquan; Kolokolnikov, Theodore; Nishiura, Yasumasa Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system. (English) Zbl 1469.35019 Nonlinearity 34, No. 8, 5708-5743 (2021). MSC: 35B25 35B32 35K51 35K57 35B40 PDFBibTeX XMLCite \textit{S. Xie} et al., Nonlinearity 34, No. 8, 5708--5743 (2021; Zbl 1469.35019) Full Text: DOI arXiv
Wei, Lijun; Xu, Yancong; Zhang, Xiang The number of limit cycles bifurcating from a degenerate center of piecewise smooth differential systems. (English) Zbl 1469.37038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150067, 20 p. (2021). MSC: 37G15 37M20 34C07 PDFBibTeX XMLCite \textit{L. Wei} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150067, 20 p. (2021; Zbl 1469.37038) Full Text: DOI
Batkhin, A. B. Bifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry group. (English. Russian original) Zbl 1459.37042 Program. Comput. Softw. 46, No. 2, 84-97 (2020); translation from Programmirovanie 46, No. 2, 14-29 (2020). MSC: 37J20 37J46 37J11 65P30 70H33 68W30 PDFBibTeX XMLCite \textit{A. B. Batkhin}, Program. Comput. Softw. 46, No. 2, 84--97 (2020; Zbl 1459.37042); translation from Programmirovanie 46, No. 2, 14--29 (2020) Full Text: DOI
Gutnik, Sergey A.; Sarychev, Vasily A. Symbolic investigation of the dynamics of a system of two connected bodies moving along a circular orbit. (English) Zbl 1470.70037 England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 164-178 (2019). MSC: 70M20 68W30 37J20 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Lect. Notes Comput. Sci. 11661, 164--178 (2019; Zbl 1470.70037) Full Text: DOI
Hajnová, Veronika; Přibylová, Lenka Bifurcation manifolds in predator-prey models computed by Gröbner basis method. (English) Zbl 1451.92253 Math. Biosci. 312, 1-7 (2019). MSC: 92D25 13P25 13P10 34C23 37G10 37M20 65P30 PDFBibTeX XMLCite \textit{V. Hajnová} and \textit{L. Přibylová}, Math. Biosci. 312, 1--7 (2019; Zbl 1451.92253) Full Text: DOI
Gazor, Majid; Sadri, Nasrin Bifurcation controller designs for the generalized cusp plants of Bogdanov-Takens singularity with an application to ship control. (English) Zbl 1423.34080 SIAM J. Control Optim. 57, No. 3, 2122-2151 (2019). MSC: 34H20 34C20 58E25 34C23 34C05 34C14 PDFBibTeX XMLCite \textit{M. Gazor} and \textit{N. Sadri}, SIAM J. Control Optim. 57, No. 3, 2122--2151 (2019; Zbl 1423.34080) Full Text: DOI arXiv
Roussel, Marc R. Nonlinear dynamics. A hands-on introductory survey. (English) Zbl 1415.37003 IOP Concise Physics. San Rafael, CA: Morgan & Claypool Publishers; Bristol: IOP Publishing (ISBN 978-1-64327-461-4/print; 978-1-64327-464-5/ebook). xii, 190 p., not consecutively paged (2019). MSC: 37-01 37-04 37Gxx 70Kxx 65Pxx PDFBibTeX XMLCite \textit{M. R. Roussel}, Nonlinear dynamics. A hands-on introductory survey. San Rafael, CA: Morgan \& Claypool Publishers; Bristol: IOP Publishing (2019; Zbl 1415.37003) Full Text: DOI
Gazor, Majid; Kazemi, Mahsa Normal form analysis of \(\mathbb Z_2\)-equivariant singularities. (English) Zbl 1411.37063 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 2, Article ID 1950015, 20 p. (2019). MSC: 37M20 37C80 37G05 PDFBibTeX XMLCite \textit{M. Gazor} and \textit{M. Kazemi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 2, Article ID 1950015, 20 p. (2019; Zbl 1411.37063) Full Text: DOI
Parovik, Roman Ivanovich Chaotic regimes of a fractal nonlinear oscillator. (Russian. English summary) Zbl 1438.34050 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 364-379 (2018). MSC: 34A08 26A33 37N30 74H60 34C15 34C28 34D08 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 364--379 (2018; Zbl 1438.34050) Full Text: DOI MNR
Huang, Shao-Yuan Exact multiplicity and bifurcation curves of positive solutions of a one-dimensional Minkowski-curvature problem and its application. (English) Zbl 1398.34034 Commun. Pure Appl. Anal. 17, No. 3, 1271-1294 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B08 34B15 34B18 34C23 34B09 PDFBibTeX XMLCite \textit{S.-Y. Huang}, Commun. Pure Appl. Anal. 17, No. 3, 1271--1294 (2018; Zbl 1398.34034) Full Text: DOI
Gokmen, Elcin; Isik, Osman Rasit; Sezer, Mehmet Taylor collocation approach for delayed Lotka-Volterra predator-prey system. (English) Zbl 1410.65251 Appl. Math. Comput. 268, 671-684 (2015). MSC: 65L05 92D25 34K18 PDFBibTeX XMLCite \textit{E. Gokmen} et al., Appl. Math. Comput. 268, 671--684 (2015; Zbl 1410.65251) Full Text: DOI
Boussaada, Islam; Morărescu, Irinel-Constantin; Niculescu, Silviu-Iulian Inverted pendulum stabilization: characterization of codimension-three triple zero bifurcation via multiple delayed proportional gains. (English) Zbl 1327.93322 Syst. Control Lett. 82, 1-9 (2015). MSC: 93D20 93B60 70Q05 34C23 93C15 PDFBibTeX XMLCite \textit{I. Boussaada} et al., Syst. Control Lett. 82, 1--9 (2015; Zbl 1327.93322) Full Text: DOI HAL
Kooi, B. W. Modelling the dynamics of traits involved in fighting-predators-prey system. (English) Zbl 1359.37149 J. Math. Biol. 71, No. 6-7, 1575-1605 (2015). MSC: 37N25 37G35 92D15 92D25 92D50 PDFBibTeX XMLCite \textit{B. W. Kooi}, J. Math. Biol. 71, No. 6--7, 1575--1605 (2015; Zbl 1359.37149) Full Text: DOI
Gazor, Majid; Moazeni, Mojtaba Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case. (English) Zbl 1308.34046 Discrete Contin. Dyn. Syst. 35, No. 1, 205-224 (2015). MSC: 34C20 34C23 34-04 PDFBibTeX XMLCite \textit{M. Gazor} and \textit{M. Moazeni}, Discrete Contin. Dyn. Syst. 35, No. 1, 205--224 (2015; Zbl 1308.34046) Full Text: DOI arXiv
Gutnik, S. A.; Sarychev, V. A. Symbolic-numerical methods of studying equilibrium positions of a gyrostat satellite. (English. Russian original) Zbl 1308.65228 Program. Comput. Softw. 40, No. 3, 143-150 (2014); translation from Programmirovanie 40, No. 3 (2014). MSC: 65Z05 65P30 70F15 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 40, No. 3, 143--150 (2014; Zbl 1308.65228); translation from Programmirovanie 40, No. 3 (2014) Full Text: DOI
Zhang, Xiaohua; Chen, Fangqi; Zhang, Hongli Stability and local bifurcation analysis of functionally graded material plate under transversal and in-plane excitations. (English) Zbl 1438.34177 Appl. Math. Modelling 37, No. 10-11, 6639-6651 (2013). MSC: 34C60 34C25 34C15 65P30 74H45 34C20 74K20 37C60 34K20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Modelling 37, No. 10--11, 6639--6651 (2013; Zbl 1438.34177) Full Text: DOI
Zhang, Xiaohua Local bifurcations of nonlinear viscoelastic panel in supersonic flow. (English) Zbl 1311.70030 Commun. Nonlinear Sci. Numer. Simul. 18, No. 8, 1931-1938 (2013). MSC: 70J50 76J20 37N15 74D10 74F10 PDFBibTeX XMLCite \textit{X. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 8, 1931--1938 (2013; Zbl 1311.70030) Full Text: DOI Link
Tian, Yun; Yu, Pei An explicit recursive formula for computing the normal form and center manifold of general \(n\)-dimensional differential systems associated with Hopf bifurcations. (English) Zbl 1272.34004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350104, 18 p. (2013). MSC: 34-04 34C20 34C23 34C45 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350104, 18 p. (2013; Zbl 1272.34004) Full Text: DOI
Zhao, Xiaohua; Li, Zhuo Bifurcation analysis and phase portraits of an asymmetric triaxial gyrostat with two rotors. (English) Zbl 1249.37054 Ann. Differ. Equations 27, No. 2, 270-275 (2011). MSC: 37N05 37J20 37J35 70K05 70K50 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Z. Li}, Ann. Differ. Equations 27, No. 2, 270--275 (2011; Zbl 1249.37054)
Awrejcewicz, Jan; Kurpa, Lidiya; Osetrov, Andrey Investigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximation. (English) Zbl 1316.74059 ZAMM, Z. Angew. Math. Mech. 91, No. 6, 458-467 (2011). MSC: 74S05 74C99 74G60 74K25 PDFBibTeX XMLCite \textit{J. Awrejcewicz} et al., ZAMM, Z. Angew. Math. Mech. 91, No. 6, 458--467 (2011; Zbl 1316.74059) Full Text: DOI Link
Long, Yao; Rui, Weiguo; Li, Zhenyang New soliton-like solutions and compacton-like periodic wave solutions of parametric type to a nonlinear dispersive equation. (English) Zbl 1237.37051 Int. J. Comput. Math. 88, No. 5, 957-968 (2011). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K40 37K50 35Q51 PDFBibTeX XMLCite \textit{Y. Long} et al., Int. J. Comput. Math. 88, No. 5, 957--968 (2011; Zbl 1237.37051) Full Text: DOI
Li, Jing; Sun, Min Phase portraits of a generalized Camassa-Holm equation. (Chinese. English summary) Zbl 1240.35409 J. Beijing Univ. Technol. 36, No. 10, 1428-1432 (2010). MSC: 35Q35 35C07 37K40 37K50 37G35 PDFBibTeX XMLCite \textit{J. Li} and \textit{M. Sun}, J. Beijing Univ. Technol. 36, No. 10, 1428--1432 (2010; Zbl 1240.35409)
Borisov, Milen; Dimitrova, Neli One-parameter bifurcation analysis of dynamical systems using Maple. (English) Zbl 1218.65145 Serdica J. Comput. 4, No. 1, 43-56 (2010). MSC: 65P30 37M20 37G10 PDFBibTeX XMLCite \textit{M. Borisov} and \textit{N. Dimitrova}, Serdica J. Comput. 4, No. 1, 43--56 (2010; Zbl 1218.65145) Full Text: EuDML
Geng, Yixiang; Zhang, Lixiang Bifurcations of traveling wave solutions for the magma equation. (English) Zbl 1203.35195 Appl. Math. Comput. 217, No. 4, 1741-1748 (2010). MSC: 35Q51 35Q35 35C07 35C08 37K50 PDFBibTeX XMLCite \textit{Y. Geng} and \textit{L. Zhang}, Appl. Math. Comput. 217, No. 4, 1741--1748 (2010; Zbl 1203.35195) Full Text: DOI
Geng, Yixiang; Li, Jibin; Zhang, Lixiang Exact explicit traveling wave solutions for two nonlinear Schrödinger type equations. (English) Zbl 1203.35261 Appl. Math. Comput. 217, No. 4, 1509-1521 (2010). MSC: 35Q55 37K10 37K50 35C08 35-04 35B10 PDFBibTeX XMLCite \textit{Y. Geng} et al., Appl. Math. Comput. 217, No. 4, 1509--1521 (2010; Zbl 1203.35261) Full Text: DOI
Zhou, Jiangbo; Tian, Lixin; Fan, Xinghua New exact travelling wave solutions for the \(K(2,2)\) equation with osmosis dispersion. (English) Zbl 1203.35258 Appl. Math. Comput. 217, No. 4, 1355-1366 (2010). MSC: 35Q53 37K10 37K50 35C08 35C07 35-04 PDFBibTeX XMLCite \textit{J. Zhou} et al., Appl. Math. Comput. 217, No. 4, 1355--1366 (2010; Zbl 1203.35258) Full Text: DOI arXiv
Rui, Weiguo; Long, Yao; He, Bin; Li, Zhenyang Integral bifurcation method combined with computer for solving a higher order wave equation of KdV type. (English) Zbl 1182.65161 Int. J. Comput. Math. 87, No. 1, 119-128 (2010). MSC: 65M70 35Q51 35Q53 PDFBibTeX XMLCite \textit{W. Rui} et al., Int. J. Comput. Math. 87, No. 1, 119--128 (2010; Zbl 1182.65161) Full Text: DOI
Yu, P.; Corless, R. Symbolic computation of limit cycles associated with Hilbert’s 16th problem. (English) Zbl 1221.34082 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4041-4056 (2009). MSC: 34C07 34-04 68W30 PDFBibTeX XMLCite \textit{P. Yu} and \textit{R. Corless}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4041--4056 (2009; Zbl 1221.34082) Full Text: DOI
Zhang, Dongxiang; Sun, Min; Li, Jing Analysis of nonlinear dynamics for abrupt change of interphase structure in liquid-liquid mass transfer. (English) Zbl 1186.76650 Math. Probl. Eng. 2009, Article ID 823452, 13 p. (2009). Reviewer: Felix Kaplanski (Tallinn) MSC: 76E17 37N10 74G60 74H60 PDFBibTeX XMLCite \textit{D. Zhang} et al., Math. Probl. Eng. 2009, Article ID 823452, 13 p. (2009; Zbl 1186.76650) Full Text: DOI EuDML
Irtegov, Valentin; Titorenko, Tatyana On invariant manifolds of dynamical systems in Lie algebras. (English) Zbl 1260.37027 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 11th international workshop, CASC 2009, Kobe, Japan, September 13–17, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-04102-0/pbk). Lecture Notes in Computer Science 5743, 142-154 (2009). MSC: 37J15 17B99 37J20 37J35 37M20 68W30 PDFBibTeX XMLCite \textit{V. Irtegov} and \textit{T. Titorenko}, Lect. Notes Comput. Sci. 5743, 142--154 (2009; Zbl 1260.37027) Full Text: DOI
Dimitrova, Neli Local bifurcations in a nonlinear model of a bioreactor. (English) Zbl 1188.34056 Serdica J. Comput. 3, No. 2, 107-132 (2009). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 92C45 34C23 80A32 34C05 34D20 PDFBibTeX XMLCite \textit{N. Dimitrova}, Serdica J. Comput. 3, No. 2, 107--132 (2009; Zbl 1188.34056) Full Text: EuDML
Rui, Weiguo; Long, Yao; He, Bin Bifurcations of the travelling wave solutions to a generalized Camassa-Holm equation. (English) Zbl 1174.37362 Ann. Differ. Equations 24, No. 3, 317-325 (2008). MSC: 37K40 37K50 PDFBibTeX XMLCite \textit{W. Rui} et al., Ann. Differ. Equations 24, No. 3, 317--325 (2008; Zbl 1174.37362)
Geng, Yixiang; Li, Jibin Exact explicit traveling wave solutions for the CDF equation. (English) Zbl 1163.35471 Appl. Math. Comput. 203, No. 2, 536-562 (2008). MSC: 35Q53 35Q51 37K50 35B10 35B65 PDFBibTeX XMLCite \textit{Y. Geng} and \textit{J. Li}, Appl. Math. Comput. 203, No. 2, 536--562 (2008; Zbl 1163.35471) Full Text: DOI
Cao, D. X.; Zhang, W. Global bifurcations and chaotic dynamics for a string-beam coupled system. (English) Zbl 1163.74025 Chaos Solitons Fractals 37, No. 3, 858-875 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 74H60 74H65 74K05 74K10 74H45 PDFBibTeX XMLCite \textit{D. X. Cao} and \textit{W. Zhang}, Chaos Solitons Fractals 37, No. 3, 858--875 (2008; Zbl 1163.74025) Full Text: DOI
Feng, Dahe; Lü, Junliang; Li, Jibin; He, Tianlan Bifurcation studies on travelling wave solutions for nonlinear intensity Klein-Gordon equation. (English) Zbl 1124.35075 Appl. Math. Comput. 189, No. 1, 271-284 (2007). MSC: 35Q53 37K40 37K50 35-04 PDFBibTeX XMLCite \textit{D. Feng} et al., Appl. Math. Comput. 189, No. 1, 271--284 (2007; Zbl 1124.35075) Full Text: DOI
Dimitrova, Neli; Zlateva, Plamena Stability and bifurcation analysis of a nonlinear model of bioreactor. (English) Zbl 1137.65441 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 296-303 (2007). MSC: 65P30 65P40 37M20 37C75 92E20 PDFBibTeX XMLCite \textit{N. Dimitrova} and \textit{P. Zlateva}, Lect. Notes Comput. Sci. 4310, 296--303 (2007; Zbl 1137.65441) Full Text: DOI
Khan, M. A. H. Singularity behavior of flow in a curved pipe. (English) Zbl 1195.76152 Int. J. Appl. Mech. Eng. 11, No. 3, 699-704 (2006). MSC: 76D05 76M45 PDFBibTeX XMLCite \textit{M. A. H. Khan}, Int. J. Appl. Mech. Eng. 11, No. 3, 699--704 (2006; Zbl 1195.76152) Full Text: Link
Wang, Quanfeng; Wang, Lingyun Buckling of core wall structures coupled with connecting beams. (English) Zbl 1113.74083 Int. J. Numer. Methods Eng. 65, No. 11, 1789-1801 (2006). MSC: 74S05 74G60 74K10 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{L. Wang}, Int. J. Numer. Methods Eng. 65, No. 11, 1789--1801 (2006; Zbl 1113.74083) Full Text: DOI
Xie, Shaolong; Gao, Bin; Hong, Xiaochun Bounded traveling waves of a nonlinear Boussinesq equation. (Chinese. English summary) Zbl 1110.65121 J. Nat. Sci. Hunan Norm. Univ. 29, No. 3, 18-22 (2006). MSC: 65P30 37C27 37C25 37G15 37M20 PDFBibTeX XMLCite \textit{S. Xie} et al., J. Nat. Sci. Hunan Norm. Univ. 29, No. 3, 18--22 (2006; Zbl 1110.65121)
Qesmi, R.; Babram, M. Ait; Hbid, M. L. A Maple program for computing a terms of a center manifold, and element of bifurcations for a class of retarded functional differential equations with Hopf singularity. (English) Zbl 1096.65129 Appl. Math. Comput. 175, No. 2, 932-968 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65P30 37M20 37G05 PDFBibTeX XMLCite \textit{R. Qesmi} et al., Appl. Math. Comput. 175, No. 2, 932--968 (2006; Zbl 1096.65129) Full Text: DOI
Trifan, Mariana P. Static bifurcation diagram for a lymphocytes-tumor model. (English) Zbl 1165.37329 Sci. Pap. Univ. Agric. Sci. Vet. Med., Fac. Hortic. 48, No. 2, 187-191 (2005). MSC: 37J20 37N25 PDFBibTeX XMLCite \textit{M. P. Trifan}, Sci. Pap. Univ. Agric. Sci. Vet. Med., Fac. Hortic. 48, No. 2, 187--191 (2005; Zbl 1165.37329)
Dorignac, J.; Flach, S. Isochronism and tangent bifurcation of band edge modes in Hamiltonian lattices. (English) Zbl 1089.37050 Physica D 204, No. 1-2, 83-109 (2005). MSC: 37N05 34C15 37G99 70K40 35Q55 70H05 37K60 PDFBibTeX XMLCite \textit{J. Dorignac} and \textit{S. Flach}, Physica D 204, No. 1--2, 83--109 (2005; Zbl 1089.37050) Full Text: DOI arXiv
Udrişte, Constantin; Ferrara, Massimiliano; Opriş, Dumitru Economic geometric dynamics. (English) Zbl 1149.91004 Monographs and Textbooks 6. Bucharest: Geometry Balkan Press (ISBN 973-8381-10-X/hbk). xi, 215 p. (2004). Reviewer: Vyaceslav Kalashnikov (Mexico) MSC: 91-02 91B62 91B66 37J20 37J50 53C21 78A25 PDFBibTeX XMLCite \textit{C. Udrişte} et al., Economic geometric dynamics. Bucharest: Geometry Balkan Press (2004; Zbl 1149.91004)
Geum, Young Hee; Kim, Young Ik Accurate computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1154.37348 Comput. Math. Appl. 48, No. 1-2, 163-175 (2004). MSC: 37F10 37-04 37F45 65P30 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, Comput. Math. Appl. 48, No. 1--2, 163--175 (2004; Zbl 1154.37348) Full Text: DOI
Yu, Pei; Yuan, Yuan An efficient method for computing the simplest normal forms of vector fields. (English) Zbl 1067.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 1, 19-46 (2003). MSC: 34C20 34-04 37-04 37G05 PDFBibTeX XMLCite \textit{P. Yu} and \textit{Y. Yuan}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 1, 19--46 (2003; Zbl 1067.34041) Full Text: DOI
Ahamadi, Malidi; Gervais, Jean-Jacques Symbolic-numerical methods for the computation of normal forms of PDEs. (English) Zbl 1029.65055 J. Comput. Appl. Math. 158, No. 2, 443-472 (2003). MSC: 65J15 34G20 35K57 68W30 35B32 35K90 65M60 PDFBibTeX XMLCite \textit{M. Ahamadi} and \textit{J.-J. Gervais}, J. Comput. Appl. Math. 158, No. 2, 443--472 (2003; Zbl 1029.65055) Full Text: DOI
Zhu, Songhui; Yu, Pei An algorithm for computing normal forms using perturbation technique. (English) Zbl 1037.34032 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 10, No. 1-3, 181-193 (2003). Reviewer: Eugene Ershov (St. Peterburg) MSC: 34C20 37M20 PDFBibTeX XMLCite \textit{S. Zhu} and \textit{P. Yu}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 10, No. 1--3, 181--193 (2003; Zbl 1037.34032)
Yuan, Yuan; Yu, Pei The simplest normal form for \(1:2\) double Hopf singularity. (English) Zbl 1042.34070 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 10, No. 1-3, 123-136 (2003). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C20 37G05 37M20 34-04 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{P. Yu}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 10, No. 1--3, 123--136 (2003; Zbl 1042.34070)
Geum, Young Hee; Kim, Young Ik A study on computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1083.65053 Int. J. Comput. Math. 80, No. 2, 223-232 (2003). Reviewer: Otu Vaarmann (Tallinn) MSC: 65H17 68W30 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, Int. J. Comput. Math. 80, No. 2, 223--232 (2003; Zbl 1083.65053) Full Text: DOI
Eriksson, Anders; Pacoste, Costin Element formulation and numerical techniques for stability problems in shells. (English) Zbl 1101.74363 Comput. Methods Appl. Mech. Eng. 191, No. 35, 3775-3810 (2002). MSC: 74S05 74G60 74K25 PDFBibTeX XMLCite \textit{A. Eriksson} and \textit{C. Pacoste}, Comput. Methods Appl. Mech. Eng. 191, No. 35, 3775--3810 (2002; Zbl 1101.74363) Full Text: DOI
Geum, Young Hee; Kim, Young Ik An improved computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1012.65140 J. Appl. Math. Comput. 10, No. 1-2, 63-73 (2002). Reviewer: Fuhua Ling (Milpitas) MSC: 65P30 37M20 37G10 65H05 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, J. Appl. Math. Comput. 10, No. 1--2, 63--73 (2002; Zbl 1012.65140) Full Text: DOI
Agüero, Antonio; Atienza, José Ramón Elastic buckling and design of space frames. (Spanish. English summary) Zbl 1005.74026 Rev. Int. Métod. Numér. Cálc. Diseño Ing. 18, No. 1, 59-77 (2002). MSC: 74G60 74K10 74-04 68W30 PDFBibTeX XMLCite \textit{A. Agüero} and \textit{J. R. Atienza}, Rev. Int. Métod. Numér. Cálc. Diseño Ing. 18, No. 1, 59--77 (2002; Zbl 1005.74026)
Yu, P. Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling. (English) Zbl 1019.65043 J. Comput. Appl. Math. 144, No. 1-2, 359-373 (2002). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65L05 34C23 34A34 34D20 34C20 68W30 PDFBibTeX XMLCite \textit{P. Yu}, J. Comput. Appl. Math. 144, No. 1--2, 359--373 (2002; Zbl 1019.65043) Full Text: DOI
Yu, Pei Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. (English) Zbl 0994.65140 Nonlinear Dyn. 27, No. 1, 19-53 (2002). MSC: 65P30 37-04 37M20 37C75 65P40 68W30 PDFBibTeX XMLCite \textit{P. Yu}, Nonlinear Dyn. 27, No. 2, 19--53 (2002; Zbl 0994.65140) Full Text: DOI
Yu, P. Symbolic computation of normal forms for resonant double Hopf bifurcations using a perturbation technique. (English) Zbl 1237.70085 J. Sound Vib. 247, No. 4, 615-632 (2001). MSC: 70K45 34C20 34-04 34C23 70-04 PDFBibTeX XMLCite \textit{P. Yu}, J. Sound Vib. 247, No. 4, 615--632 (2001; Zbl 1237.70085) Full Text: DOI Link
Yu, Pei; Zhang, Wei; Bi, Qinsheng Vibration analysis on a thin plate with the aid of computation of normal forms. (English) Zbl 1341.74115 Int. J. Non-Linear Mech. 36, No. 4, 597-627 (2001). MSC: 74K20 74H45 PDFBibTeX XMLCite \textit{P. Yu} et al., Int. J. Non-Linear Mech. 36, No. 4, 597--627 (2001; Zbl 1341.74115) Full Text: DOI
Zhang, Weiyi; Huseyin, Koncay; Ye, Min The applications of a modified normal form approach. (English) Zbl 1143.37325 Appl. Math. Mech., Engl. Ed. 22, No. 7, 802-807 (2001). MSC: 37G99 37-04 PDFBibTeX XMLCite \textit{W. Zhang} et al., Appl. Math. Mech., Engl. Ed. 22, No. 7, 802--807 (2001; Zbl 1143.37325) Full Text: DOI
Zhang, Wei; Liu, Zhaomiao; Yu, Pei Global dynamics of a parametrically and externally excited thin plate. (English) Zbl 1006.74050 Nonlinear Dyn. 24, No. 3, 245-268 (2001). MSC: 74H60 74H65 74K20 PDFBibTeX XMLCite \textit{W. Zhang} et al., Nonlinear Dyn. 24, No. 3, 245--268 (2001; Zbl 1006.74050) Full Text: DOI
Lynch, Stephen Dynamical systems with applications using MAPLE. (English) Zbl 0964.37001 Boston, MA: Birkhäuser. xiii, 398 p (2001). Reviewer: Vasile Marinca (Timişoara) MSC: 37-01 37-04 37Mxx 65Pxx 34-04 37C10 37C05 34C07 34C99 PDFBibTeX XMLCite \textit{S. Lynch}, Dynamical systems with applications using MAPLE. Boston, MA: Birkhäuser (2001; Zbl 0964.37001)
Makinde, O. D.; Chinyoka, T. A note on Jeffery-Hamel flow. (English) Zbl 1011.76020 Far East J. Appl. Math. 4, No. 3, 281-293 (2000). MSC: 76D99 76E09 76M45 68W30 PDFBibTeX XMLCite \textit{O. D. Makinde} and \textit{T. Chinyoka}, Far East J. Appl. Math. 4, No. 3, 281--293 (2000; Zbl 1011.76020)
Yu, P. A method for computing center manifold and normal forms. (English) Zbl 0964.65144 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 832-837 (2000). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P40 37M20 PDFBibTeX XMLCite \textit{P. Yu}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 832--837 (2000; Zbl 0964.65144)
Birol, İnanç; Teymour, Fouad Statics and dynamics of multiple cubic autocatalytic reactions. (English) Zbl 0967.34043 Physica D 144, No. 3-4, 279-297 (2000). Reviewer: Igor Andrianov (Köln) MSC: 34C60 34C23 92C45 PDFBibTeX XMLCite \textit{İ. Birol} and \textit{F. Teymour}, Physica D 144, No. 3--4, 279--297 (2000; Zbl 0967.34043) Full Text: DOI
Bi, Q. S.; Yu, P. Symbolic software development for computing the normal form of double Hopf bifurcation. (English) Zbl 1036.34043 Math. Comput. Modelling 29, No. 9, 49-70 (1999). MSC: 34C20 34A45 34C23 37G05 37M20 PDFBibTeX XMLCite \textit{Q. S. Bi} and \textit{P. Yu}, Math. Comput. Modelling 29, No. 9, 49--70 (1999; Zbl 1036.34043) Full Text: DOI
Makinde, O. D. Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel. (English) Zbl 0956.76074 J. Aust. Math. Soc., Ser. B 41, No. 1, 118-128 (1999). Reviewer: Oleg Titow (Berlin) MSC: 76M45 76S05 76D10 PDFBibTeX XMLCite \textit{O. D. Makinde}, J. Aust. Math. Soc., Ser. B 41, No. 1, 118--128 (1999; Zbl 0956.76074) Full Text: DOI
Bi, Qinsheng; Yu, Pei Symbolic computation of normal forms for semi-simple cases. (English) Zbl 0944.65132 J. Comput. Appl. Math. 102, No. 2, 195-220 (1999). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 65P30 37J40 37M20 34C20 34A34 68W30 PDFBibTeX XMLCite \textit{Q. Bi} and \textit{P. Yu}, J. Comput. Appl. Math. 102, No. 2, 195--220 (1999; Zbl 0944.65132) Full Text: DOI
Wang, Quanfeng Effect of shear lag on buckling of thin-walled members with any cross-section. (English) Zbl 0931.74075 Commun. Numer. Methods Eng. 15, No. 4, 263-272 (1999). MSC: 74S05 74G60 PDFBibTeX XMLCite \textit{Q. Wang}, Commun. Numer. Methods Eng. 15, No. 4, 263--272 (1999; Zbl 0931.74075) Full Text: DOI
Sensoy, S.; Huseyin, K. On the application of IHB technique to the analysis of non-linear oscillations and bifurcations. (English) Zbl 1235.34122 J. Sound Vib. 215, No. 1, 35-46 (1998). MSC: 34C15 34-04 70K99 34C23 PDFBibTeX XMLCite \textit{S. Sensoy} and \textit{K. Huseyin}, J. Sound Vib. 215, No. 1, 35--46 (1998; Zbl 1235.34122) Full Text: DOI Link
Pacoste, Costin Co-rotational flat facet triangular elements for shell instability analyses. (English) Zbl 1098.74709 Comput. Methods Appl. Mech. Eng. 156, No. 1-4, 75-110 (1998). MSC: 74S05 74K25 74G60 PDFBibTeX XMLCite \textit{C. Pacoste}, Comput. Methods Appl. Mech. Eng. 156, No. 1--4, 75--110 (1998; Zbl 1098.74709) Full Text: DOI
Manning, Robert S.; Rogers, Kathleen A.; Maddocks, John H. Isoperimetric conjugate points with application to the stability of DNA minicircles. (English) Zbl 1002.92507 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1980, 3047-3074 (1998). MSC: 92C05 49K10 49N90 PDFBibTeX XMLCite \textit{R. S. Manning} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1980, 3047--3074 (1998; Zbl 1002.92507) Full Text: DOI
Pacoste, Costin; Eriksson, Anders Beam elements in instability problems. (English) Zbl 0892.73069 Comput. Methods Appl. Mech. Eng. 144, No. 1-2, 163-197 (1997). MSC: 74S05 74K10 74G60 PDFBibTeX XMLCite \textit{C. Pacoste} and \textit{A. Eriksson}, Comput. Methods Appl. Mech. Eng. 144, No. 1--2, 163--197 (1997; Zbl 0892.73069) Full Text: DOI
Ma, Shilong; Ning, Shucheng Deriving some new conditions on the existence of eight limit cycles for a cubic system. (English) Zbl 0874.65053 Comput. Math. Appl. 33, No. 7, 59-84 (1997). MSC: 65L05 34C23 34A34 34C05 68W30 PDFBibTeX XMLCite \textit{S. Ma} and \textit{S. Ning}, Comput. Math. Appl. 33, No. 7, 59--84 (1997; Zbl 0874.65053) Full Text: DOI
Yu, P.; Taneri, U.; Huseyin, K. Forced oscillations, bifurcations and stability of a molecular system. I: Non-resonance. (English) Zbl 0869.34034 Int. J. Syst. Sci. 27, No. 12, 1339-1350 (1996). Reviewer: A.Steindl (Wien) MSC: 34C23 70K30 34C25 34C15 34C27 PDFBibTeX XMLCite \textit{P. Yu} et al., Int. J. Syst. Sci. 27, No. 12, 1339--1350 (1996; Zbl 0869.34034) Full Text: DOI
Makinde, O. D. Computer extension and bifurcation study by analytic continuation of porous tube flow problem. (English) Zbl 0863.76084 J. Math. Phys. Sci. 30, No. 1, 1-24 (1996). MSC: 76S05 76M25 76E05 76M20 PDFBibTeX XMLCite \textit{O. D. Makinde}, J. Math. Phys. Sci. 30, No. 1, 1--24 (1996; Zbl 0863.76084)
Wang, Quanfeng; Li, W. Y. Spline finite member element method for buckling of thin-walled members with any cross-sections in pure bending. (English) Zbl 0918.73121 Comput. Methods Appl. Mech. Eng. 136, No. 3-4, 259-271 (1996). MSC: 74S05 74G60 74S30 74P10 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{W. Y. Li}, Comput. Methods Appl. Mech. Eng. 136, No. 3--4, 259--271 (1996; Zbl 0918.73121) Full Text: DOI
Grinfeld, M.; Novick-Cohen, A. Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments. (English) Zbl 0828.34007 Proc. R. Soc. Edinb., Sect. A 125, No. 2, 351-370 (1995). Reviewer: N.E.Ratanov (Chelyabinsk) MSC: 34A55 34B15 34C23 82D35 PDFBibTeX XMLCite \textit{M. Grinfeld} and \textit{A. Novick-Cohen}, Proc. R. Soc. Edinb., Sect. A, Math. 125, No. 2, 351--370 (1995; Zbl 0828.34007) Full Text: DOI
LeBlanc, Victor G.; Lari-Lavassani, Ali; Langford, William F. Symmetry-breaking for leading order gradient maps in \(\mathbb{R}^ 2\) with applications to \(O(3)\). (English) Zbl 0841.58011 Nonlinearity 7, No. 2, 577-594 (1994). MSC: 58E09 58E07 68W30 13P10 PDFBibTeX XMLCite \textit{V. G. LeBlanc} et al., Nonlinearity 7, No. 2, 577--594 (1994; Zbl 0841.58011) Full Text: DOI
Garbey, Marc; Kaper, Hans G.; Kwong, Man Kam Symbolic manipulation software and the study of differential equations. (English) Zbl 0739.65103 Asymptotic analysis and the numerical solution of partial differential equations, Proc. Workshop, Argonne/IL (USA) 1990, Lect. Notes Pure Appl. Math. 130, 241-265 (1991). Reviewer: K.Zlateva (Russe) MSC: 65Z05 35Q72 35J65 68W30 PDFBibTeX XMLCite \textit{M. Garbey} et al., Lect. Notes Pure Appl. Math. None, 241--265 (1991; Zbl 0739.65103)