Dudás, János; Krisztin, Tibor Global stability for the three-dimensional logistic map. (English) Zbl 07312089 Nonlinearity 34, No. 2, 894-938 (2021). MSC: 39A30 39A28 65Q10 65G40 37C75 PDF BibTeX XML Cite \textit{J. Dudás} and \textit{T. Krisztin}, Nonlinearity 34, No. 2, 894--938 (2021; Zbl 07312089) Full Text: DOI
Charette, Laurent; Macdonald, Colin B.; Nagata, Wayne Pattern formation in a slowly flattening spherical cap: delayed bifurcation. (English) Zbl 07325571 IMA J. Appl. Math. 85, No. 4, 513-541 (2020). MSC: 35B36 35B32 35K57 35K20 37L10 PDF BibTeX XML Cite \textit{L. Charette} et al., IMA J. Appl. Math. 85, No. 4, 513--541 (2020; Zbl 07325571) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{K. E. M. Church} and \textit{X. Liu}, J. Differ. Equations 267, No. 6, 3852--3921 (2019; Zbl 1435.34079) Full Text: DOI
Chen, Xiaopeng; Roberts, Anthony J.; Duan, Jinqiao Centre manifolds for infinite dimensional random dynamical systems. (English) Zbl 1415.37098 Dyn. Syst. 34, No. 2, 334-355 (2019). MSC: 37L55 37D10 34D35 37H15 60H15 PDF BibTeX XML Cite \textit{X. Chen} et al., Dyn. Syst. 34, No. 2, 334--355 (2019; Zbl 1415.37098) Full Text: DOI
Allen, D.; Grinfeld, M.; Sasportes, R. Point island dynamics under fixed rate deposition. (English) Zbl 1447.82039 J. Math. Anal. Appl. 472, No. 2, 1716-1728 (2019). MSC: 82D80 PDF BibTeX XML Cite \textit{D. Allen} et al., J. Math. Anal. Appl. 472, No. 2, 1716--1728 (2019; Zbl 1447.82039) Full Text: DOI
Han, Daozhi; Hernandez, Marco; Wang, Quan Dynamical transitions of a low-dimensional model for Rayleigh-Bénard convection under a vertical magnetic field. (English) Zbl 1415.34073 Chaos Solitons Fractals 114, 370-380 (2018). MSC: 34C23 37D45 35Q35 76E06 PDF BibTeX XML Cite \textit{D. Han} et al., Chaos Solitons Fractals 114, 370--380 (2018; Zbl 1415.34073) Full Text: DOI
Buono, Pietro-Luciano; Collera, Juancho Discrete rotating waves in neutral functional differential equations: symmetric centre manifolds and bifurcations. (English) Zbl 1408.37052 J. Abstr. Differ. Equ. Appl. 9, No. 1, 1-29 (2018). MSC: 37D10 37G15 37G40 34K18 PDF BibTeX XML Cite \textit{P.-L. Buono} and \textit{J. Collera}, J. Abstr. Differ. Equ. Appl. 9, No. 1, 1--29 (2018; Zbl 1408.37052) Full Text: Link
Psarros, N.; Papaschinopoulos, G.; Schinas, C. J. On the stability of some systems of exponential difference equations. (English) Zbl 1400.39017 Opusc. Math. 38, No. 1, 95-115 (2018). MSC: 39A30 39A10 37N25 39A60 PDF BibTeX XML Cite \textit{N. Psarros} et al., Opusc. Math. 38, No. 1, 95--115 (2018; Zbl 1400.39017) Full Text: DOI
Takahashi, You; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Nakamura, Yoshimasa Periodic convergence in the discrete hungry Toda equation. (English) Zbl 1404.39019 J. Phys. A, Math. Theor. 51, No. 34, Article ID 344001, 9 p. (2018). MSC: 39A30 39A23 37J35 37J25 PDF BibTeX XML Cite \textit{Y. Takahashi} et al., J. Phys. A, Math. Theor. 51, No. 34, Article ID 344001, 9 p. (2018; Zbl 1404.39019) Full Text: DOI
Guo, Shangjiang Spatio-temporal patterns in a diffusive model with non-local delay effect. (English) Zbl 1404.35036 IMA J. Appl. Math. 82, No. 4, 864-908 (2017). MSC: 35B36 35B32 35K57 37L10 58E09 PDF BibTeX XML Cite \textit{S. Guo}, IMA J. Appl. Math. 82, No. 4, 864--908 (2017; Zbl 1404.35036) Full Text: DOI
Kumar, Rakesh; Sharma, Anuj K.; Agnihotri, Kulbhushan Dynamics of an innovation diffusion model with time delay. (English) Zbl 1384.34089 East Asian J. Appl. Math. 7, No. 3, 455-481 (2017). MSC: 34K60 34K18 34K20 34K19 34K13 49Q12 92D25 PDF BibTeX XML Cite \textit{R. Kumar} et al., East Asian J. Appl. Math. 7, No. 3, 455--481 (2017; Zbl 1384.34089) Full Text: DOI
Veerman, Frits Corrigendum to: “Breathing pulses in singularly perturbed reaction-diffusion systems”. (English) Zbl 1417.37262 Nonlinearity 30, No. 3, C1 (2017). MSC: 37L10 35K57 35B25 35B36 PDF BibTeX XML Cite \textit{F. Veerman}, Nonlinearity 30, No. 3, C1 (2017; Zbl 1417.37262) Full Text: DOI
Psarros, N.; Papaschinopoulos, G.; Schinas, C. J. Study of the stability of a \(3 \times 3\) system of difference equations using centre manifold theory. (English) Zbl 1353.39017 Appl. Math. Lett. 64, 185-192 (2017). MSC: 39A30 39A10 PDF BibTeX XML Cite \textit{N. Psarros} et al., Appl. Math. Lett. 64, 185--192 (2017; Zbl 1353.39017) Full Text: DOI
Psarros, N.; Papaschinopoulos, G.; Schinas, C. J. Semistability of two systems of difference equations using centre manifold theory. (English) Zbl 1364.39017 Math. Methods Appl. Sci. 39, No. 18, 5216-5222 (2016). Reviewer: Miloš Čanak (Beograd) MSC: 39A30 39A10 PDF BibTeX XML Cite \textit{N. Psarros} et al., Math. Methods Appl. Sci. 39, No. 18, 5216--5222 (2016; Zbl 1364.39017) Full Text: DOI
Chen, Shyan-Shiou; Cheng, Chang-Yuan Delay-induced mixed-mode oscillations in a 2D Hindmarsh-Rose-type model. (English) Zbl 1331.34157 Discrete Contin. Dyn. Syst., Ser. B 21, No. 1, 37-53 (2016). Reviewer: Nikola Popovic (Edinburgh) MSC: 34K60 34K18 34K17 92C20 34K19 34K26 PDF BibTeX XML Cite \textit{S.-S. Chen} and \textit{C.-Y. Cheng}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 1, 37--53 (2016; Zbl 1331.34157) Full Text: DOI
Sharma, Amit; Sharma, Anuj Kumar; Agnihotri, Kulbhushan Analysis of a toxin producing phytoplankton-zooplankton interaction with Holling IV type scheme and time delay. (English) Zbl 1347.92108 Nonlinear Dyn. 81, No. 1-2, 13-25 (2015). MSC: 92D40 34C11 34C23 34D20 PDF BibTeX XML Cite \textit{A. Sharma} et al., Nonlinear Dyn. 81, No. 1--2, 13--25 (2015; Zbl 1347.92108) Full Text: DOI
Roberts, A. J. Macroscale, slowly varying, models emerge from the microscale dynamics. (English) Zbl 1327.35372 IMA J. Appl. Math. 80, No. 5, 1492-1518 (2015). MSC: 35Q84 35Q56 92C55 35Q53 82C31 PDF BibTeX XML Cite \textit{A. J. Roberts}, IMA J. Appl. Math. 80, No. 5, 1492--1518 (2015; Zbl 1327.35372) Full Text: DOI
Chen, Xiaopeng; Roberts, Anthony; Duan, Jinqiao Centre manifolds for stochastic evolution equations. (English) Zbl 1325.60103 J. Difference Equ. Appl. 21, No. 7, 606-632 (2015). MSC: 60H15 35R60 37D10 34D35 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Difference Equ. Appl. 21, No. 7, 606--632 (2015; Zbl 1325.60103) Full Text: DOI
Liu, Jia; Chen, Zengqiang; Liu, Zhongxin; Zhang, Xinghui Distributed robust consensus control for nonlinear multi-agent systems by using output regulation approach. (English) Zbl 1327.93019 IMA J. Math. Control Inf. 32, No. 3, 515-535 (2015). MSC: 93A14 68T42 93B35 93C15 93C10 PDF BibTeX XML Cite \textit{J. Liu} et al., IMA J. Math. Control Inf. 32, No. 3, 515--535 (2015; Zbl 1327.93019) Full Text: DOI
Veerman, Frits Breathing pulses in singularly perturbed reaction-diffusion systems. (English) Zbl 1335.37054 Nonlinearity 28, No. 7, 2211-2246 (2015); corrigendum ibid. 30, No. 3, C1 (2017). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 35K57 35B25 35B36 PDF BibTeX XML Cite \textit{F. Veerman}, Nonlinearity 28, No. 7, 2211--2246 (2015; Zbl 1335.37054) Full Text: DOI
Ncube, Israel Existence and stability of a synchronous oscillation in a neural system with delayed coupling. (English) Zbl 1317.34154 J. Math. Anal. Appl. 412, No. 2, 1036-1044 (2014). MSC: 34K13 34K21 34K20 34K18 34K17 34K19 PDF BibTeX XML Cite \textit{I. Ncube}, J. Math. Anal. Appl. 412, No. 2, 1036--1044 (2014; Zbl 1317.34154) Full Text: DOI
Peng, Guojun; Li, Changpin Computation of universal unfolding of the double zero bifurcation in the \(Z_{2}\)-symmetric system. (English) Zbl 1405.34033 Int. J. Comput. Math. 91, No. 3, 461-479 (2014). MSC: 34C20 34C23 37G05 37G10 37G40 PDF BibTeX XML Cite \textit{G. Peng} and \textit{C. Li}, Int. J. Comput. Math. 91, No. 3, 461--479 (2014; Zbl 1405.34033) Full Text: DOI
Brudnyi, Alexander The moment finiteness problem and characterization of universal centres of ordinary differential equations with analytic coefficients. (English) Zbl 1297.44008 Nonlinearity 27, No. 7, 1611-1631 (2014). MSC: 44A60 37L10 PDF BibTeX XML Cite \textit{A. Brudnyi}, Nonlinearity 27, No. 7, 1611--1631 (2014; Zbl 1297.44008) Full Text: DOI
Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber Stability and invariant manifolds of a generalized Beddington host-parasitoid model. (English) Zbl 1448.92206 J. Biol. Dyn. 7, No. 1, 233-253 (2013). MSC: 92D25 92D40 39A28 39A30 PDF BibTeX XML Cite \textit{S. Kapçak} et al., J. Biol. Dyn. 7, No. 1, 233--253 (2013; Zbl 1448.92206) Full Text: DOI
Chen, Chen; Roberts, Anthony John; Bunder, Judith The macroscale boundary conditions for diffusion in a material with microscale varying diffusivities. (English) Zbl 1386.74112 ANZIAM J. 55C, Proc. 2013, C218-C234 (2013). MSC: 74N25 74N15 34A33 PDF BibTeX XML Cite \textit{C. Chen} et al., ANZIAM J. 55C, C218--C234 (2013; Zbl 1386.74112) Full Text: DOI
Rocha, Filipe; Aguiar, Maíra; Souza, Max; Stollenwerk, Nico Time-scale separation and centre manifold analysis describing vector-borne disease dynamics. (English) Zbl 1291.92012 Int. J. Comput. Math. 90, No. 10, 2105-2125 (2013). MSC: 92B05 34N05 32L10 34C45 37A50 PDF BibTeX XML Cite \textit{F. Rocha} et al., Int. J. Comput. Math. 90, No. 10, 2105--2125 (2013; Zbl 1291.92012) Full Text: DOI
Makovínyiová, Katarína; Zimka, Rudolf On the bifurcation of limit cycles in a dynamic model of a small open economy. (English) Zbl 1270.34131 Eur. J. Appl. Math. 24, No. 3, 455-470 (2013). MSC: 34C60 34C05 34C23 91B64 PDF BibTeX XML Cite \textit{K. Makovínyiová} and \textit{R. Zimka}, Eur. J. Appl. Math. 24, No. 3, 455--470 (2013; Zbl 1270.34131) Full Text: DOI
Bhunu, C. P.; Mushayabasa, S.; Hyman, J. M. Modelling HIV/AIDS and monkeypox co-infection. (English) Zbl 1245.92048 Appl. Math. Comput. 218, No. 18, 9504-9518 (2012). MSC: 92C60 92D30 65C20 PDF BibTeX XML Cite \textit{C. P. Bhunu} et al., Appl. Math. Comput. 218, No. 18, 9504--9518 (2012; Zbl 1245.92048) Full Text: DOI
Xin, Baogui; Ma, Junhai; Chen, Tong; Gao, Qin Delay-induced Hopf bifurcation in a noise-driven excitable neuron model. (English) Zbl 1246.37097 Int. J. Comput. Math. 88, No. 15, 3255-3270 (2011). Reviewer: Angela Slavova (Sofia) MSC: 37N25 92C20 34K18 PDF BibTeX XML Cite \textit{B. Xin} et al., Int. J. Comput. Math. 88, No. 15, 3255--3270 (2011; Zbl 1246.37097) Full Text: DOI
Li, Xiaofang; Qu, Rongning; Feng, Enmin Hopf bifurcation of a five-dimensional delay differential system. (English) Zbl 1222.34098 Int. J. Comput. Math. 88, No. 1, 79-96 (2011). Reviewer: Neville Ford (Chester) MSC: 34K60 34K18 92C40 34K13 34K17 34K20 PDF BibTeX XML Cite \textit{X. Li} et al., Int. J. Comput. Math. 88, No. 1, 79--96 (2011; Zbl 1222.34098) Full Text: DOI
Bhunu, C. P.; Tchuenche, J. M.; Garira, W.; Magombedze, G.; Mushayabasa, S. Modeling the effects of schistosomiasis on the transmission dynamics of HIV/AIDS. (English) Zbl 1342.92226 J. Biol. Syst. 18, No. 2, 277-297 (2010). MSC: 92D30 PDF BibTeX XML Cite \textit{C. P. Bhunu} et al., J. Biol. Syst. 18, No. 2, 277--297 (2010; Zbl 1342.92226) Full Text: DOI
Lewis, Gregory M. Mixed-mode solutions in an air-filled differentially heated rotating annulus. (English) Zbl 1205.37067 Physica D 239, No. 19, 1843-1854 (2010). Reviewer: Iliya Iliev (Sofia) MSC: 37G35 76D05 37N10 76U05 37G05 PDF BibTeX XML Cite \textit{G. M. Lewis}, Physica D 239, No. 19, 1843--1854 (2010; Zbl 1205.37067) Full Text: DOI
Roberts, A. J. Choose inter-element coupling to preserve self-adjoint dynamics in multiscale modelling and computation. (English) Zbl 1203.65146 Appl. Numer. Math. 60, No. 10, 949-973 (2010). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M55 35K05 35K55 PDF BibTeX XML Cite \textit{A. J. Roberts}, Appl. Numer. Math. 60, No. 10, 949--973 (2010; Zbl 1203.65146) Full Text: DOI
Ge, Juhong; Xu, Jian Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays. (English) Zbl 1205.37087 Sci. China, Technol. Sci. 53, No. 3, 633-644 (2010). Reviewer: Bixiang Wang (Socorro) MSC: 37L10 37N25 92C20 PDF BibTeX XML Cite \textit{J. Ge} and \textit{J. Xu}, Sci. China, Technol. Sci. 53, No. 3, 633--644 (2010; Zbl 1205.37087) Full Text: DOI
Georgi, Marc Bifurcations from localised steady states to generalised breather solutions in the Klein-Gordon lattice. (English) Zbl 1192.34015 Int. J. Dyn. Syst. Differ. Equ. 2, No. 1-2, 66-97 (2009). MSC: 34A33 34C23 34C28 34C45 PDF BibTeX XML Cite \textit{M. Georgi}, Int. J. Dyn. Syst. Differ. Equ. 2, No. 1--2, 66--97 (2009; Zbl 1192.34015) Full Text: DOI
Pfrang, Christian; Matthies, Karsten Small planar travelling waves in two-dimensional networks of coupled oscillators. (English) Zbl 1173.37059 Dyn. Syst. 24, No. 2, 157-170 (2009). Reviewer: Cheng-Hsiung Hsu (Chung-Li) MSC: 37K60 37L10 PDF BibTeX XML Cite \textit{C. Pfrang} and \textit{K. Matthies}, Dyn. Syst. 24, No. 2, 157--170 (2009; Zbl 1173.37059) Full Text: DOI
Beceanu, Marius A centre-stable manifold for the focussing cubic NLS in \({\mathbb{R}}^{1+3\star}\). (English) Zbl 1148.35082 Commun. Math. Phys. 280, No. 1, 145-205 (2008). MSC: 35Q55 35Q51 37L10 PDF BibTeX XML Cite \textit{M. Beceanu}, Commun. Math. Phys. 280, No. 1, 145--205 (2008; Zbl 1148.35082) Full Text: DOI arXiv
Georgi, Marc Bifurcations from homoclinic orbits to non-hyperbolic equilibria in reversible lattice differential equations. (English) Zbl 1152.34050 Nonlinearity 21, No. 4, 735-763 (2008). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 34K18 34K19 34C14 PDF BibTeX XML Cite \textit{M. Georgi}, Nonlinearity 21, No. 4, 735--763 (2008; Zbl 1152.34050) Full Text: DOI
Haragus, Mariana; Scheel, Arnd Interfaces between rolls in the Swift-Hohenberg equation. (English) Zbl 1169.35032 Int. J. Dyn. Syst. Differ. Equ. 1, No. 2, 89-97 (2007). Reviewer: Nils Ackermann (México) MSC: 35K55 35K57 37L10 35Q53 37G05 76E06 34C37 PDF BibTeX XML Cite \textit{M. Haragus} and \textit{A. Scheel}, Int. J. Dyn. Syst. Differ. Equ. 1, No. 2, 89--97 (2007; Zbl 1169.35032) Full Text: DOI
Wang, Yong; Murray, Richard M. Feedback stabilization of bifurcations in multivariable nonlinear systems. II: Hopf bifurcations. (English) Zbl 1116.93381 Int. J. Robust Nonlinear Control 17, No. 4, 295-326 (2007). MSC: 93D15 93C10 93C15 34C23 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{R. M. Murray}, Int. J. Robust Nonlinear Control 17, No. 4, 295--326 (2007; Zbl 1116.93381) Full Text: DOI
Wang, Yong; Murray, Richard M. Feedback stabilization of bifurcations in multivariable nonlinear systems. I: Equilibrium bifurcations. (English) Zbl 1113.93090 Int. J. Robust Nonlinear Control 17, No. 4, 265-293 (2007). MSC: 93D15 93C10 93C15 93C35 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{R. M. Murray}, Int. J. Robust Nonlinear Control 17, No. 4, 265--293 (2007; Zbl 1113.93090) Full Text: DOI
Roberts, A. J. Resolving the multitude of microscale interactions accurately models stochastic partial differential equations. (English) Zbl 1109.37044 LMS J. Comput. Math. 9, 193-221 (2006). MSC: 37H10 37M99 60H15 60H35 65C30 PDF BibTeX XML Cite \textit{A. J. Roberts}, LMS J. Comput. Math. 9, 193--221 (2006; Zbl 1109.37044) Full Text: DOI Link
Lewis, Gregory M.; Nagata, Wayne Double Hopf bifurcations in the quasigeostrophic potential vorticity equations. (English) Zbl 1092.37055 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 12, No. 5-6, 783-807 (2005). MSC: 37N10 76U05 86A10 37G40 37G05 PDF BibTeX XML Cite \textit{G. M. Lewis} and \textit{W. Nagata}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 12, No. 5--6, 783--807 (2005; Zbl 1092.37055)
Szydłowski, Marek; Krawiec, Adam The stability problem in the Kaldor–Kalecki business cycle model. (English) Zbl 1102.91057 Chaos Solitons Fractals 25, No. 2, 299-305 (2005). MSC: 91B28 34A34 PDF BibTeX XML Cite \textit{M. Szydłowski} and \textit{A. Krawiec}, Chaos Solitons Fractals 25, No. 2, 299--305 (2005; Zbl 1102.91057) Full Text: DOI
Gomes, Diogo A.; Valls, Claudia Approximation of ill-posed Boussinesq equations. (English) Zbl 1072.35151 Dyn. Syst. 19, No. 4, 345-357 (2004). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35Q35 37L10 35G20 PDF BibTeX XML Cite \textit{D. A. Gomes} and \textit{C. Valls}, Dyn. Syst. 19, No. 4, 345--357 (2004; Zbl 1072.35151) Full Text: DOI
James, Guillaume; Noble, Pascal Breathers on diatomic Fermi-Pasta-Ulam lattices. (English) Zbl 1081.82003 Physica D 196, No. 1-2, 124-171 (2004). MSC: 82B20 37L10 37L60 81V80 PDF BibTeX XML Cite \textit{G. James} and \textit{P. Noble}, Physica D 196, No. 1--2, 124--171 (2004; Zbl 1081.82003) Full Text: DOI
Stone, E.; Campbell, S. A. Stability and bifurcation analysis of a nonlinear DDE model for drilling. (English) Zbl 1056.37098 J. Nonlinear Sci. 14, No. 1, 27-57 (2004). Reviewer: Jan Sieber (Bristol) MSC: 37N20 34K18 34K20 34K23 70K20 70K50 37G40 PDF BibTeX XML Cite \textit{E. Stone} and \textit{S. A. Campbell}, J. Nonlinear Sci. 14, No. 1, 27--57 (2004; Zbl 1056.37098) Full Text: DOI
Peng, Yue-Jun; Wang, Ya-Guang Boundary layers and quasi-neutral limit in steady state Euler-Poisson equations for potential flows. (English) Zbl 1073.35183 Nonlinearity 17, No. 3, 835-849 (2004). MSC: 35Q05 76D10 35B25 35C20 82D37 35J25 PDF BibTeX XML Cite \textit{Y.-J. Peng} and \textit{Y.-G. Wang}, Nonlinearity 17, No. 3, 835--849 (2004; Zbl 1073.35183) Full Text: DOI
Sieber, Jan; Krauskopf, Bernd Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity. (English) Zbl 1054.34121 Nonlinearity 17, No. 1, 85-103 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 34K18 37G40 58E09 34K35 70K55 70Q05 PDF BibTeX XML Cite \textit{J. Sieber} and \textit{B. Krauskopf}, Nonlinearity 17, No. 1, 85--103 (2004; Zbl 1054.34121) Full Text: DOI
Dong, Yali; Cheng, Daizhan; Qin, Huashu Feedback stabilization via designed planar centre manifold. (English) Zbl 1051.93084 Int. J. Robust Nonlinear Control 14, No. 1, 1-14 (2004). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 93D15 93C15 93C10 PDF BibTeX XML Cite \textit{Y. Dong} et al., Int. J. Robust Nonlinear Control 14, No. 1, 1--14 (2004; Zbl 1051.93084) Full Text: DOI
Fofana, M. S.; Cabell, B. Q.; Vawter, N.; Usilton, M. F.; Ryba, P. B. Illustrative applications of the theory of delay dynamical systems. (English) Zbl 1097.34061 Math. Comput. Modelling 37, No. 12-13, 1371-1382 (2003). Reviewer: Klaus R. Schneider (Berlin) MSC: 34K60 34K18 34K19 70B99 PDF BibTeX XML Cite \textit{M. S. Fofana} et al., Math. Comput. Modelling 37, No. 12--13, 1371--1382 (2003; Zbl 1097.34061) Full Text: DOI
Jendoubi, M. A.; Poláčik, P. Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping. (English) Zbl 1046.37045 Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 5, 1137-1153 (2003). Reviewer: Sergey Zelik (Moskva) MSC: 37L10 35L70 35J60 35B35 PDF BibTeX XML Cite \textit{M. A. Jendoubi} and \textit{P. Poláčik}, Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 5, 1137--1153 (2003; Zbl 1046.37045) Full Text: DOI
Battelli, Flaviano; Palmer, Kenneth J. Singular perturbations, transversality, and Sil’nikov saddle-focus homoclinic orbits. (English) Zbl 1040.34065 J. Dyn. Differ. Equations 15, No. 2-3, 357-425 (2003). MSC: 34E15 34C37 34C45 PDF BibTeX XML Cite \textit{F. Battelli} and \textit{K. J. Palmer}, J. Dyn. Differ. Equations 15, No. 2--3, 357--425 (2003; Zbl 1040.34065) Full Text: DOI
Gatermann, Karin Applications of SAGBI-bases in dynamics. (English) Zbl 1028.65137 J. Symb. Comput. 35, No. 5, 543-575 (2003). Reviewer: Jan Sieber (Bristol) MSC: 65P30 68W30 37M20 37J20 37C80 37G40 13P10 34C20 34C23 35B32 76E06 PDF BibTeX XML Cite \textit{K. Gatermann}, J. Symb. Comput. 35, No. 5, 543--575 (2003; Zbl 1028.65137) Full Text: DOI
Buono, Pietro-Luciano; Bélair, Jacques Restrictions and unfolding of double Hopf bifurcation in functional differential equations. (English) Zbl 1032.34068 J. Differ. Equations 189, No. 1, 234-266 (2003). Reviewer: Jan Sieber (Bristol) MSC: 34K18 PDF BibTeX XML Cite \textit{P.-L. Buono} and \textit{J. Bélair}, J. Differ. Equations 189, No. 1, 234--266 (2003; Zbl 1032.34068) Full Text: DOI
Roberts, A. J. A holistic finite difference approach models linear dynamics consistently. (English) Zbl 1008.37047 Math. Comput. 72, No. 241, 247-262 (2003). MSC: 37L65 65M06 37L10 37M99 PDF BibTeX XML Cite \textit{A. J. Roberts}, Math. Comput. 72, No. 241, 247--262 (2003; Zbl 1008.37047) Full Text: DOI
Amdjadi, Faridon The calculation of the Hopf/Hopf mode interaction point in problems with \(Z_ 2\)-symmetry. (English) Zbl 1044.37040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1925-1935 (2002). MSC: 37G40 37G15 37M20 PDF BibTeX XML Cite \textit{F. Amdjadi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1925--1935 (2002; Zbl 1044.37040) Full Text: DOI
Sterpu, Mihaela Dynamics generated by the generalized Rayleigh equation I. (English) Zbl 1054.34070 An. Univ. Timiş., Ser. Mat.-Inform. 39, No. 2, 147-154 (2001). MSC: 34C23 34A34 34C45 PDF BibTeX XML Cite \textit{M. Sterpu}, An. Univ. Timiş., Ser. Mat.-Inform. 39, No. 2, 147--154 (2001; Zbl 1054.34070)
Roberts, A. J. Holistic discretisation illuminates and enhances the numerical modelling of differential equations. (English) Zbl 1041.65077 Kluev, V. V. (ed.) et al., Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press (ISBN 960-8052-47-6/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 81-89 (2001). MSC: 65M60 65M50 86A05 76B15 35L10 35Q53 76M10 PDF BibTeX XML Cite \textit{A. J. Roberts}, in: Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press. 81--89 (2001; Zbl 1041.65077)
Roberts, A. J.; Strunin, D. V. Models encompassing hydraulic jumps in radial flows over a horizontal plate. (English) Zbl 1223.76011 Kluev, V.V. (ed.) et al., Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press (ISBN 960-8052-47-6/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 31-36 (2001). MSC: 76D05 76E09 PDF BibTeX XML Cite \textit{A. J. Roberts} and \textit{D. V. Strunin}, in: Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press. 31--36 (2001; Zbl 1223.76011)
Simpson, M. E.; Roberts, A. J. An accurate lubrication model of contaminated coating flows. (English) Zbl 0997.76021 Comput. Phys. Commun. 142, No. 1-3, 330-332 (2001). MSC: 76D08 PDF BibTeX XML Cite \textit{M. E. Simpson} and \textit{A. J. Roberts}, Comput. Phys. Commun. 142, No. 1--3, 330--332 (2001; Zbl 0997.76021) Full Text: DOI
Dawes, J. H. P. Hopf bifurcation on a square superlattice. (English) Zbl 1004.37033 Nonlinearity 14, No. 3, 491-511 (2001). Reviewer: Lutz Recke (Berlin) MSC: 37G40 37G15 37C85 34C14 PDF BibTeX XML Cite \textit{J. H. P. Dawes}, Nonlinearity 14, No. 3, 491--511 (2001; Zbl 1004.37033) Full Text: DOI
MacKenzie, T.; Roberts, A. J. Holistic finite differences accurately model the dynamics of the Kuramoto-Sivashinsky equation. (English) Zbl 0977.65117 ANZIAM J. 42C, C918-C935 (2000). MSC: 65P30 65M06 35Q53 37L10 37L65 37M20 PDF BibTeX XML Cite \textit{T. MacKenzie} and \textit{A. J. Roberts}, ANZIAM J. 42C, C918--C935 (2000; Zbl 0977.65117) Full Text: arXiv
Melnik, R. V. N.; Roberts, A. J. Approximate models of dynamic thermoviscoelasticity describing shape-memory-alloy phase transitions. (English) Zbl 1012.74053 Melnik, Roderick (ed.) et al., New methods in applied and computational mathematics. Proceedings of the 1st NEMACOM workshop, Hervey Bay, Queensland, Australia, July 9, 1998. Canberra: Australian National University, Centre for Mathematics and its Applications. Proc. Cent. Math. Appl. Aust. Natl. Univ. 38, 17-32 (2000). MSC: 74N20 74A15 80A22 74F05 PDF BibTeX XML Cite \textit{R. V. N. Melnik} and \textit{A. J. Roberts}, Proc. Cent. Math. Appl. Aust. Natl. Univ. 38, 17--32 (2000; Zbl 1012.74053) Full Text: arXiv
Hong, Yiguang Centre manifolds and multi-zero nonminimum phase systems. (English) Zbl 0965.93086 IMA J. Math. Control Inf. 17, No. 1, 87-99 (2000). Reviewer: V.Dragan (Bucureşti) MSC: 93D15 93C10 34C20 93D30 PDF BibTeX XML Cite \textit{Y. Hong}, IMA J. Math. Control Inf. 17, No. 1, 87--99 (2000; Zbl 0965.93086) Full Text: DOI
Zhu, Q. M.; Hong, Y. G.; Qin, H. S.; Chen, P. N. Stabilization of a class of generalized bilinear systems. (English) Zbl 0989.93077 Int. J. Robust Nonlinear Control 9, No. 9, 573-579 (1999). Reviewer: A.Bacciotti (Torino) MSC: 93D15 93C10 PDF BibTeX XML Cite \textit{Q. M. Zhu} et al., Int. J. Robust Nonlinear Control 9, No. 9, 573--579 (1999; Zbl 0989.93077) Full Text: DOI
Huang, Jie; Zhang, Ji-Feng Impulse-free output regulation of singular nonlinear systems. (English) Zbl 0983.93015 Int. J. Control 71, No. 5, 789-806 (1998). Reviewer: Gunther Reißig (Cambridge, MA) MSC: 93B51 34A09 93C35 93C10 PDF BibTeX XML Cite \textit{J. Huang} and \textit{J.-F. Zhang}, Int. J. Control 71, No. 5, 789--806 (1998; Zbl 0983.93015) Full Text: DOI
Liu, Jike; Gao, Lei On bifurcation points of airfoil flutter with cubic nonlinearity. (Chinese. English summary) Zbl 0910.76021 Acta Sci. Nat. Univ. Sunyatseni 37, No. 3, 28-31 (1998). MSC: 76E99 74F10 PDF BibTeX XML Cite \textit{J. Liu} and \textit{L. Gao}, Acta Sci. Nat. Univ. Sunyatseni 37, No. 3, 28--31 (1998; Zbl 0910.76021)
Schwartz, Carla A.; Yan, Aiguo Construction of Lyapunov functions for nonlinear systems using normal forms. (English) Zbl 0893.93028 J. Math. Anal. Appl. 216, No. 2, 521-535 (1997). Reviewer: A.Bacciotti (Torino) MSC: 93D30 93D20 93C10 34D20 PDF BibTeX XML Cite \textit{C. A. Schwartz} and \textit{A. Yan}, J. Math. Anal. Appl. 216, No. 2, 521--535 (1997; Zbl 0893.93028) Full Text: DOI
Coveney, Peter V.; Wattis, Jonathan A. D. Analysis of a generalized Becker-Döring model of self-reproducing micelles. (English) Zbl 0880.92040 Proc. R. Soc. Lond., Ser. A 452, No. 1952, 2079-2102 (1996). MSC: 92E99 37N99 92E20 PDF BibTeX XML Cite \textit{P. V. Coveney} and \textit{J. A. D. Wattis}, Proc. R. Soc. Lond., Ser. A 452, No. 1952, 2079--2102 (1996; Zbl 0880.92040) Full Text: DOI
Bélair, Jacques; Campbell, Sue Ann; van den Driessche, P. Frustration, stability, and delay-induced oscillations in a neural network model. (English) Zbl 0840.92003 SIAM J. Appl. Math. 56, No. 1, 245-255 (1996). MSC: 92B20 34K11 34K18 15B48 05C20 68T05 PDF BibTeX XML Cite \textit{J. Bélair} et al., SIAM J. Appl. Math. 56, No. 1, 245--255 (1996; Zbl 0840.92003) Full Text: DOI
Mei, Z.; Roberts, A. J. Equations for turbulent flood waves. (English) Zbl 0870.76023 Mielke, A. (ed.) et al., Structure and dynamics of nonlinear waves in fluids. Proceedings of the IUTAM/ ISIMM symposium, Hannover, Germany, August 17–20, 1994. Singapore: World Scientific. Adv. Ser. Nonlinear Dyn. 7, 342-352 (1995). MSC: 76D33 76F10 86A05 PDF BibTeX XML Cite \textit{Z. Mei} and \textit{A. J. Roberts}, Adv. Ser. Nonlinear Dyn. 7, 342--352 (1995; Zbl 0870.76023)
Needham, D. J. A centre theorem for two-dimensional complex holomorphic systems and its generalization. (English) Zbl 0835.34007 Proc. R. Soc. Lond., Ser. A 450, No. 1939, 225-232 (1995). MSC: 34M05 34C05 PDF BibTeX XML Cite \textit{D. J. Needham}, Proc. R. Soc. Lond., Ser. A 450, No. 1939, 225--232 (1995; Zbl 0835.34007) Full Text: DOI
Watt, S. D.; Roberts, A. J.; Weber, R. O. Dimensional reduction of a bushfire model. (English) Zbl 0828.35057 Math. Comput. Modelling 21, No. 9, 79-83 (1995). MSC: 35K55 35K57 PDF BibTeX XML Cite \textit{S. D. Watt} et al., Math. Comput. Modelling 21, No. 9, 79--83 (1995; Zbl 0828.35057) Full Text: DOI
Balakotaiah, Vemuri; Chang, Hsueh-Chia Dispersion of chemical solutes in chromatographs and reactors. (English) Zbl 0897.92039 Philos. Trans. R. Soc. Lond., Ser. A 351, No. 1695, 39-75 (1995). MSC: 92E20 37N99 37C80 37C75 35Q99 PDF BibTeX XML Cite \textit{V. Balakotaiah} and \textit{H.-C. Chang}, Philos. Trans. R. Soc. Lond., Ser. A 351, No. 1695, 39--75 (1995; Zbl 0897.92039) Full Text: DOI
Doole, S. H. Dynamic bifurcation in a system of PDEs with a conserved first integral. (English) Zbl 0832.35012 Dyn. Stab. Syst. 9, No. 3, 197-213 (1994). Reviewer: P.Polacik (Bratislava) MSC: 35B32 35K57 35Q30 PDF BibTeX XML Cite \textit{S. H. Doole}, Dyn. Stab. Syst. 9, No. 3, 197--213 (1994; Zbl 0832.35012) Full Text: DOI
Goodall, D. P. Lyapunov stabilization of a class of uncertain composite systems with nonlinear coupling. (English) Zbl 0821.93065 Syst. Sci. 20, No. 3, 17-33 (1994). MSC: 93D21 93C10 34A60 93C73 93D05 93D20 PDF BibTeX XML Cite \textit{D. P. Goodall}, Syst. Sci. 20, No. 3, 17--33 (1994; Zbl 0821.93065)
Skeldon, A. C. Dynamics of a parametrically excited double pendulum. (English) Zbl 0820.34020 Physica D 75, No. 4, 541-558 (1994). MSC: 34C15 34C23 34C29 34C30 PDF BibTeX XML Cite \textit{A. C. Skeldon}, Physica D 75, No. 4, 541--558 (1994; Zbl 0820.34020) Full Text: DOI
Mercer, G. N.; Roberts, A. J. A complete model of shear dispersion in pipes. (English) Zbl 0816.76088 Japan J. Ind. Appl. Math. 11, No. 3, 499-521 (1994). MSC: 76R50 76M20 PDF BibTeX XML Cite \textit{G. N. Mercer} and \textit{A. J. Roberts}, Japan J. Ind. Appl. Math. 11, No. 3, 499--521 (1994; Zbl 0816.76088) Full Text: DOI
Bélair, Jacques; Campbell, Sue Ann Stability and bifurcations of equilibria in a multiple-delayed differential equation. (English) Zbl 0809.34077 SIAM J. Appl. Math. 54, No. 5, 1402-1424 (1994). Reviewer: J.Banaś (Rzeszów) MSC: 34K99 37G05 92C20 34K20 34C23 PDF BibTeX XML Cite \textit{J. Bélair} and \textit{S. A. Campbell}, SIAM J. Appl. Math. 54, No. 5, 1402--1424 (1994; Zbl 0809.34077) Full Text: DOI
Eckmann, J.-P.; Gallay, Th. Front solutions for the Ginzburg-Landau equation. (English) Zbl 0773.35072 Commun. Math. Phys. 152, No. 2, 221-248 (1993). Reviewer: B.Scarpellini (Basel) MSC: 35Q55 37C75 PDF BibTeX XML Cite \textit{J. P. Eckmann} and \textit{Th. Gallay}, Commun. Math. Phys. 152, No. 2, 221--248 (1993; Zbl 0773.35072) Full Text: DOI
El-Sheikh, M. M. A.; Soliman, A. A. On stability and bifurcation of immune system. (English) Zbl 0795.92012 An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Mat. 38, No. 1, 59-74 (1992). MSC: 92C50 92C30 34D05 34C25 34C23 PDF BibTeX XML Cite \textit{M. M. A. El-Sheikh} and \textit{A. A. Soliman}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Mat. 38, No. 1, 59--74 (1992; Zbl 0795.92012)
Roberts, A. J. Boundary conditions for approximate differential equations. (English) Zbl 0767.35080 J. Aust. Math. Soc., Ser. B 34, No. 1, 54-80 (1992). Reviewer: B.Scarpellini (Basel) MSC: 35Q53 37-XX PDF BibTeX XML Cite \textit{A. J. Roberts}, J. Aust. Math. Soc., Ser. B 34, No. 1, 54--80 (1992; Zbl 0767.35080) Full Text: DOI
Takáč, Peter Invariant 2-tori in the time-dependent Ginzburg-Landau equation. (English) Zbl 0743.35079 Nonlinearity 5, No. 2, 289-321 (1992). MSC: 35Q55 35B32 37G99 PDF BibTeX XML Cite \textit{P. Takáč}, Nonlinearity 5, No. 2, 289--321 (1992; Zbl 0743.35079) Full Text: DOI
Cox, S. M.; Roberts, A. J. Centre manifolds of forced dynamical systems. (English) Zbl 0727.34036 J. Aust. Math. Soc., Ser. B 32, No. 4, 401-436 (1991). Reviewer: W.Müller (Berlin) MSC: 34C30 34A25 37-XX 86A10 76D99 34D35 PDF BibTeX XML Cite \textit{S. M. Cox} and \textit{A. J. Roberts}, J. Aust. Math. Soc., Ser. B 32, No. 4, 401--436 (1991; Zbl 0727.34036) Full Text: DOI
Iooss, G.; Mielke, A. Reduction and normalization of hydrodynamical stability problems in infinitely long cylinders. (English) Zbl 0777.76040 Trends in applications of mathematics to mechanics, Proc. 8th Symp., STAMM-8, Hollabrunn/Austria 1989, 43-56 (1991). Reviewer: A.Georgescu (Bucureşti) MSC: 76E99 35B32 37A30 PDF BibTeX XML Cite \textit{G. Iooss} and \textit{A. Mielke}, in: Trends and applications of mathematics to mechanics. Proceedings of the 8th symposium, STAMM-8, held at Hollabrunn, Austria, August 13-18, 1989. Harlow: Longman; New York: Wiley. 43--56 (1991; Zbl 0777.76040)
Boxler, Petra How to construct stochastic center manifolds on the level of vector fields. (English) Zbl 0741.34023 Lyapunov exponents, Proc. Conf., Oberwolfach/Ger. 1990, Lect. Notes Math. 1486, 141-158 (1991). Reviewer: A.Dale (Durban) MSC: 34C30 37C75 34F05 PDF BibTeX XML
Fiedler, Bernold; Poláčik, Peter Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. (English) Zbl 0726.35060 Proc. R. Soc. Edinb., Sect. A 115, No. 1-2, 167-192 (1990). Reviewer: J.Hernandez (Madrid) MSC: 35K57 35R10 35P99 35B40 PDF BibTeX XML Cite \textit{B. Fiedler} and \textit{P. Poláčik}, Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 1--2, 167--192 (1990; Zbl 0726.35060) Full Text: DOI
Zhang, Weinian A result on invariant manifolds and its applications. (Chinese. English summary) Zbl 0718.34064 Adv. Math., Beijing 19, No. 2, 204-219 (1990). MSC: 34C30 37-XX 34C23 34D30 34D35 PDF BibTeX XML Cite \textit{W. Zhang}, Adv. Math., Beijing 19, No. 2, 204--219 (1990; Zbl 0718.34064)
Amick, C. J.; Turner, R. E. L. Elliptic equations, internal waves and dynamical systems. (English) Zbl 0699.35081 Recent advances in nonlinear elliptic and parabolic problems, Proc. Int. Conf., Nancy/France 1988, Pitman Res. Notes Math. Ser. 208, 187-201 (1989). Reviewer: D.G.Costa MSC: 35J60 35P30 76B55 PDF BibTeX XML
Roberts, A. J. Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems. (English) Zbl 0679.34044 J. Aust. Math. Soc., Ser. B 31, No. 1, 48-75 (1989). MSC: 37-XX 34C30 PDF BibTeX XML Cite \textit{A. J. Roberts}, J. Aust. Math. Soc., Ser. B 31, No. 1, 48--75 (1989; Zbl 0679.34044) Full Text: DOI
Vanderbauwhede, A. Centre manifolds, normal forms and elementary bifurcations. (English) Zbl 0677.58001 Dynamics reported, Vol. 2, 89-169 (1989). Reviewer: H.G.Bothe MSC: 58-02 37G99 PDF BibTeX XML
Di Benedetto, Maria Domenica Output regulation in nonlinear systems. (English) Zbl 0672.93032 Analysis and control of nonlinear systems, Sel. Pap. 8th Int. Symp. Math. Networks Syst., Phoenix/Ariz. 1987, 403-410 (1988). MSC: 93C10 93D15 93D20 93C15 93D25 PDF BibTeX XML
Ma, Fuming Euler difference scheme for ordinary differential equations and center manifolds. (English) Zbl 0669.65058 Northeast. Math. J. 4, No. 2, 149-161 (1988). Reviewer: E.Wagenführer MSC: 65L05 34A34 65L07 34C30 37C80 PDF BibTeX XML Cite \textit{F. Ma}, Northeast. Math. J. 4, No. 2, 149--161 (1988; Zbl 0669.65058)
Nagata, Wayne Dynamics near a symmetric Hopf bifurcation. (English) Zbl 0659.34050 Proc. R. Soc. Edinb., Sect. A 108, No. 3-4, 249-267 (1988). Reviewer: M.Idemen MSC: 34C25 37G99 34D10 PDF BibTeX XML Cite \textit{W. Nagata}, Proc. R. Soc. Edinb., Sect. A, Math. 108, No. 3--4, 249--267 (1988; Zbl 0659.34050) Full Text: DOI
Kacani, V.; Stribersky, A.; Troger, H.; Zeman, K. Dynamics and bifurcations in the motion of tractor-semitrailer vehicles. (English) Zbl 0646.70024 Oscillation, bifurcation and chaos, Proc. Annu. Semin., Toronto/Can. 1986, CMS Conf. Proc. 8, 485-499 (1987). Reviewer: P.Smith MSC: 70K20 37G99 70B15 34C15 PDF BibTeX XML
Chossat, P.; Demay, Y.; Iooss, G. Competition of azimuthal modes and quasi-periodic flows in the Couette- Taylor problem. (English) Zbl 0635.76032 Dynamics of infinite dimensional systems, Proc. NATO Adv. Study Inst., Lisbon/Port. 1986, NATO ASI Ser., Ser. F 37, 45-56 (1987). Reviewer: V.M.Soundalgekar MSC: 76E05 PDF BibTeX XML
Fernández, Ariel Intrinsic fluctuations associated with the onset of a centre manifold. (English) Zbl 0623.58033 J. Phys. A 20, L579-L582 (1987). MSC: 58Z05 37D99 58C25 58K99 PDF BibTeX XML Cite \textit{A. Fernández}, J. Phys. A, Math. Gen. 20, L579--L582 (1987; Zbl 0623.58033)
Dangelmayr, Gerhard Steady-state mode interactions in the presence of O(2)-symmetry. (English) Zbl 0661.58022 Dyn. Stab. Syst. 1, No. 2, 159-185 (1986). MSC: 37G99 PDF BibTeX XML Cite \textit{G. Dangelmayr}, Dyn. Stab. Syst. 1, No. 2, 159--185 (1986; Zbl 0661.58022) Full Text: DOI