Baigent, S.; Hou, Z.; Elaydi, S.; Balreira, E. C.; Luís, R. A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds. (English) Zbl 07723388 J. Difference Equ. Appl. 29, No. 5, 575-591 (2023). MSC: 39A30 37E30 92D25 92D40 PDF BibTeX XML Cite \textit{S. Baigent} et al., J. Difference Equ. Appl. 29, No. 5, 575--591 (2023; Zbl 07723388) Full Text: DOI
Zhang, Xu; Chen, Guanrong A geometric criterion for the existence of chaos based on periodic orbits in continuous-time autonomous systems. (English) Zbl 1514.37038 J. Dyn. Control Syst. 29, No. 1, 71-93 (2023). MSC: 37C27 37C10 37C25 37C70 37B10 37D45 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{G. Chen}, J. Dyn. Control Syst. 29, No. 1, 71--93 (2023; Zbl 1514.37038) Full Text: DOI arXiv
Menasri, Abdellah Stable and unstable manifolds of the two-dimensional piecewise-linear normal form maps. (English) Zbl 07642656 Jordan J. Math. Stat. 15, No. 4B, 1173-1192 (2022). MSC: 37C70 PDF BibTeX XML Cite \textit{A. Menasri}, Jordan J. Math. Stat. 15, No. 4B, 1173--1192 (2022; Zbl 07642656)
Priyankara, K. G. D. Sulalitha; Balasuriya, Sanjeeva; Bollt, Erik M. Melnikov theory for two-dimensional manifolds in three-dimensional flows. (English) Zbl 1509.34043 SIAM J. Appl. Dyn. Syst. 21, No. 4, 2642-2696 (2022). MSC: 34C45 34C37 34C05 34A26 34E10 PDF BibTeX XML Cite \textit{K. G. D. S. Priyankara} et al., SIAM J. Appl. Dyn. Syst. 21, No. 4, 2642--2696 (2022; Zbl 1509.34043) Full Text: DOI arXiv
Sun, Huijing; Cao, Hongjun The damping term makes the Smale-horseshoe heteroclinic chaotic motion easier. (English) Zbl 1507.37049 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4685-4701 (2022). MSC: 37D45 37C70 37G35 37D10 PDF BibTeX XML Cite \textit{H. Sun} and \textit{H. Cao}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4685--4701 (2022; Zbl 1507.37049) Full Text: DOI
Addas-Zanata, Salvador; Liu, Xiao-Chuan On stable and unstable behaviour of certain rotation segments. (English) Zbl 1512.37044 Nonlinearity 35, No. 11, 5813-5851 (2022). Reviewer: Grzegorz Świątek (Warszawa) MSC: 37E45 37E30 37B25 37C05 PDF BibTeX XML Cite \textit{S. Addas-Zanata} and \textit{X.-C. Liu}, Nonlinearity 35, No. 11, 5813--5851 (2022; Zbl 1512.37044) Full Text: DOI arXiv
Liao, Guangyuan; Bose, Amitabha Entrainment within hierarchical circadian oscillator networks. (English) Zbl 1500.92012 Math. Biosci. 351, Article ID 108883, 14 p. (2022). MSC: 92B25 92C42 PDF BibTeX XML Cite \textit{G. Liao} and \textit{A. Bose}, Math. Biosci. 351, Article ID 108883, 14 p. (2022; Zbl 1500.92012) Full Text: DOI
Hammerlindl, Andy; Krauskopf, Bernd; Mason, Gemma; Osinga, Hinke M. Determining the global manifold structure of a continuous-time heterodimensional cycle. (English) Zbl 1503.34079 J. Comput. Dyn. 9, No. 3, 393-419 (2022). MSC: 34C05 34C37 34C45 37M21 92C37 PDF BibTeX XML Cite \textit{A. Hammerlindl} et al., J. Comput. Dyn. 9, No. 3, 393--419 (2022; Zbl 1503.34079) Full Text: DOI arXiv
Siettos, Constantinos; Russo, Lucia A numerical method for the approximation of stable and unstable manifolds of microscopic simulators. (English) Zbl 1491.65162 Numer. Algorithms 89, No. 3, 1335-1368 (2022). MSC: 65P40 37M05 PDF BibTeX XML Cite \textit{C. Siettos} and \textit{L. Russo}, Numer. Algorithms 89, No. 3, 1335--1368 (2022; Zbl 1491.65162) Full Text: DOI arXiv
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi Global dynamics in nonconservative nonlinear Schrödinger equations. (English) Zbl 1492.35309 Adv. Math. 398, Article ID 108234, 70 p. (2022). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35B40 35B20 37K99 37M21 35A01 PDF BibTeX XML Cite \textit{J. Jaquette} et al., Adv. Math. 398, Article ID 108234, 70 p. (2022; Zbl 1492.35309) Full Text: DOI arXiv
Anderson, Abby; Vasilyeva, Olga Prevailing winds and spruce budworm outbreaks: a reaction-diffusion-advection model. (English) Zbl 1498.92291 Math. Appl. Sci. Eng. 2, No. 4, 235-272 (2021). MSC: 92D40 92D25 35K57 PDF BibTeX XML Cite \textit{A. Anderson} and \textit{O. Vasilyeva}, Math. Appl. Sci. Eng. 2, No. 4, 235--272 (2021; Zbl 1498.92291) Full Text: DOI
Krajňák, Vladimír; García-Garrido, Víctor J.; Wiggins, Stephen Reactive islands for three degrees-of-freedom Hamiltonian systems. (English) Zbl 1491.37073 Physica D 425, Article ID 132976, 12 p. (2021). MSC: 37M21 37J25 37C79 37D10 PDF BibTeX XML Cite \textit{V. Krajňák} et al., Physica D 425, Article ID 132976, 12 p. (2021; Zbl 1491.37073) Full Text: DOI arXiv
Yamaguchi, Yoshihiro; Tanikawa, Kiyotaka Proof of the transversality for the standard map. (English) Zbl 1485.37038 Forma 36, No. 1, 15-24 (2021). MSC: 37E30 37C25 37C27 37C55 37C75 37D10 PDF BibTeX XML Cite \textit{Y. Yamaguchi} and \textit{K. Tanikawa}, Forma 36, No. 1, 15--24 (2021; Zbl 1485.37038)
Lyu, Wenyang; Naik, Shibabrat; Wiggins, Stephen Hamiltonian pitchfork bifurcation in transition across index-1 saddles. (English) Zbl 1483.37068 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105949, 12 p. (2021). MSC: 37J20 70H33 37M20 65P30 PDF BibTeX XML Cite \textit{W. Lyu} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105949, 12 p. (2021; Zbl 1483.37068) Full Text: DOI arXiv
Varzaneh, Mazyar Ghani; Riedel, Sebastian A dynamical theory for singular stochastic delay differential equations. II: Nonlinear equations and invariant manifolds. (English) Zbl 1469.60213 Discrete Contin. Dyn. Syst., Ser. B 26, No. 8, 4587-4612 (2021). MSC: 60H20 60L20 34K19 34K50 37D10 37H15 PDF BibTeX XML Cite \textit{M. G. Varzaneh} and \textit{S. Riedel}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 8, 4587--4612 (2021; Zbl 1469.60213) Full Text: DOI arXiv
Patra, Mahashweta; Banerjee, Soumitro Hyperchaos in 3-D piecewise smooth maps. (English) Zbl 1483.37048 Chaos Solitons Fractals 133, Article ID 109681, 9 p. (2020). MSC: 37D45 37G35 37C70 37G15 PDF BibTeX XML Cite \textit{M. Patra} and \textit{S. Banerjee}, Chaos Solitons Fractals 133, Article ID 109681, 9 p. (2020; Zbl 1483.37048) Full Text: DOI
Bektešević, Jasmin; Destović, Fatih; Hadžiabdić, Vahidin; Mehuljić, Midhat The global dynamics of a quartic difference equation. (English) Zbl 1488.39053 Math. Montisnigri 47, 43-51 (2020). MSC: 39A45 39A30 39A23 37F10 PDF BibTeX XML Cite \textit{J. Bektešević} et al., Math. Montisnigri 47, 43--51 (2020; Zbl 1488.39053) Full Text: DOI
García-Garrido, Víctor J. An extension of discrete Lagrangian descriptors for unbounded maps. (English) Zbl 1445.37059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2030012, 11 p. (2020). MSC: 37M15 37M05 37M21 37M22 65P10 PDF BibTeX XML Cite \textit{V. J. García-Garrido}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2030012, 11 p. (2020; Zbl 1445.37059) Full Text: DOI arXiv
Slijepčević, Siniša Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion. (English) Zbl 1442.37077 Ergodic Theory Dyn. Syst. 40, No. 3, 799-864 (2020). Reviewer: Mario Jorge Dias Carneiro (Belo Horizonte) MSC: 37J51 37J40 37J20 37J25 37B40 37E40 PDF BibTeX XML Cite \textit{S. Slijepčević}, Ergodic Theory Dyn. Syst. 40, No. 3, 799--864 (2020; Zbl 1442.37077) Full Text: DOI arXiv
Mond, David; Nuño-Ballesteros, Juan José Singularities of mappings. The local behaviour of smooth and complex analytic mappings. (English) Zbl 1448.58032 Grundlehren der Mathematischen Wissenschaften 357. Cham: Springer (ISBN 978-3-030-34439-9/hbk; 978-3-030-34440-5/ebook). xv, 567 p. (2020). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 58-02 58K15 58K40 58K05 58K60 58K70 58K25 32S05 32S25 32S55 32S60 57K10 14B05 PDF BibTeX XML Cite \textit{D. Mond} and \textit{J. J. Nuño-Ballesteros}, Singularities of mappings. The local behaviour of smooth and complex analytic mappings. Cham: Springer (2020; Zbl 1448.58032) Full Text: DOI
Deng, Lianwang; Xiao, Dongmei Global stable and unstable manifolds for a class of semilinear equations with sectorially dichotomous operator. (English) Zbl 07334201 J. Appl. Anal. Comput. 9, No. 1, 373-399 (2019). MSC: 47D06 37D10 34D09 PDF BibTeX XML Cite \textit{L. Deng} and \textit{D. Xiao}, J. Appl. Anal. Comput. 9, No. 1, 373--399 (2019; Zbl 07334201) Full Text: DOI
Naik, Shibabrat; García-Garrido, Víctor J.; Wiggins, Stephen Finding NHIM: identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors. (English) Zbl 07264534 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104907, 34 p. (2019). MSC: 82Cxx 37Bxx PDF BibTeX XML Cite \textit{S. Naik} et al., Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104907, 34 p. (2019; Zbl 07264534) Full Text: DOI arXiv
Donninger, Roland; Schörkhuber, Birgit Stable blowup for the supercritical Yang-Mills heat flow. (English) Zbl 1428.58012 J. Differ. Geom. 113, No. 1, 55-94 (2019). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E15 58J35 53C07 35K05 PDF BibTeX XML Cite \textit{R. Donninger} and \textit{B. Schörkhuber}, J. Differ. Geom. 113, No. 1, 55--94 (2019; Zbl 1428.58012) Full Text: DOI arXiv Euclid
Lv, Yunfei; Pei, Yongzhen; Yuan, Rong Principle of linearized stability and instability for parabolic partial differential equations with state-dependent delay. (English) Zbl 1415.35033 J. Differ. Equations 267, No. 3, 1671-1704 (2019). MSC: 35B35 35K20 35K58 47D06 35Q92 PDF BibTeX XML Cite \textit{Y. Lv} et al., J. Differ. Equations 267, No. 3, 1671--1704 (2019; Zbl 1415.35033) Full Text: DOI
García-Garrido, Víctor J.; Balibrea-Iniesta, Francisco; Wiggins, Stephen; Mancho, Ana M.; Lopesino, Carlos Detection of phase space structures of the cat map with Lagrangian descriptors. (English) Zbl 1412.37062 Regul. Chaotic Dyn. 23, No. 6, 751-766 (2018). MSC: 37J45 37J15 37J25 37D10 37N10 70K43 PDF BibTeX XML Cite \textit{V. J. García-Garrido} et al., Regul. Chaotic Dyn. 23, No. 6, 751--766 (2018; Zbl 1412.37062) Full Text: DOI
Ruelle, David Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds – a contribution to the Gallavotti-Cohen chaotic hypothesis. (English) Zbl 1408.37044 Nonlinearity 31, No. 12, 5683-5691 (2018). MSC: 37C40 37C15 37D20 37D45 PDF BibTeX XML Cite \textit{D. Ruelle}, Nonlinearity 31, No. 12, 5683--5691 (2018; Zbl 1408.37044) Full Text: DOI arXiv
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D. Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds. (English) Zbl 1419.37020 J. Dyn. Differ. Equations 30, No. 4, 1525-1581 (2018). MSC: 37C27 37M99 37D10 65P40 PDF BibTeX XML Cite \textit{R. Castelli} et al., J. Dyn. Differ. Equations 30, No. 4, 1525--1581 (2018; Zbl 1419.37020) Full Text: DOI
Patra, Mahashweta Multiple attractor bifurcation in three-dimensional piecewise linear maps. (English) Zbl 1401.37059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1830032, 11 p. (2018). MSC: 37G35 37E99 37C70 37D10 PDF BibTeX XML Cite \textit{M. Patra}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1830032, 11 p. (2018; Zbl 1401.37059) Full Text: DOI
Guzzo, Massimiliano; Lega, Elena Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. (English) Zbl 1392.70004 Physica D 373, 38-58 (2018). MSC: 70F07 70K55 34C28 34C45 PDF BibTeX XML Cite \textit{M. Guzzo} and \textit{E. Lega}, Physica D 373, 38--58 (2018; Zbl 1392.70004) Full Text: DOI HAL
Menasri, Abdellah The stable and unstable manifolds of the two-dimensional piecewise-linear normal form maps. (English) Zbl 1499.37061 Adv. Appl. Discrete Math. 18, No. 4, 515-535 (2017). MSC: 37D10 PDF BibTeX XML Cite \textit{A. Menasri}, Adv. Appl. Discrete Math. 18, No. 4, 515--535 (2017; Zbl 1499.37061) Full Text: DOI
Zhang, Ling; Guo, Shangjiang Slowly oscillating periodic solutions for the Nicholson’s blowflies equation with state-dependent delay. (English) Zbl 1400.34109 Math. Methods Appl. Sci. 40, No. 14, 5307-5331 (2017). Reviewer: Anatoli F. Ivanov (Lehman) MSC: 34K13 34K19 34K21 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{S. Guo}, Math. Methods Appl. Sci. 40, No. 14, 5307--5331 (2017; Zbl 1400.34109) Full Text: DOI
Gonzalez, J. L.; Mireles James, J. D. High-order parameterization of stable/unstable manifolds for long periodic orbits of maps. (English) Zbl 1378.37057 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1748-1795 (2017). MSC: 37D10 37C27 37C75 37M99 PDF BibTeX XML Cite \textit{J. L. Gonzalez} and \textit{J. D. Mireles James}, SIAM J. Appl. Dyn. Syst. 16, No. 3, 1748--1795 (2017; Zbl 1378.37057) Full Text: DOI
Rodrigues, Hildebrando M.; Caraballo, Tomás; Gameiro, Marcio Dynamics of a class of ODEs via wavelets. (English) Zbl 1398.34087 Commun. Pure Appl. Anal. 16, No. 6, 2337-2355 (2017). Reviewer: Mohamed Zitane (Meknès) MSC: 34G20 34D10 34C45 42C40 37C60 PDF BibTeX XML Cite \textit{H. M. Rodrigues} et al., Commun. Pure Appl. Anal. 16, No. 6, 2337--2355 (2017; Zbl 1398.34087) Full Text: DOI
Hohloch, Sonja Computational complexity, torsion-freeness of homoclinic Floer homology and homoclinic Morse inequalities. (English) Zbl 1378.37094 Nonlinearity 30, No. 6, 2547-2565 (2017). Reviewer: Sergiy Koshkin (Houston) MSC: 37J10 37C29 34C37 53D40 57R58 PDF BibTeX XML Cite \textit{S. Hohloch}, Nonlinearity 30, No. 6, 2547--2565 (2017; Zbl 1378.37094) Full Text: DOI arXiv
Ghosh, Sourav Anosov structures on Margulis spacetimes. (English) Zbl 1377.53088 Groups Geom. Dyn. 11, No. 2, 739-775 (2017). Reviewer: Dmitri Alekseevsky (Moscow) MSC: 53C50 37C10 PDF BibTeX XML Cite \textit{S. Ghosh}, Groups Geom. Dyn. 11, No. 2, 739--775 (2017; Zbl 1377.53088) Full Text: DOI arXiv
Lopesino, C.; Balibrea-Iniesta, F.; García-Garrido, V. J.; Wiggins, S.; Mancho, A. M. A theoretical framework for Lagrangian descriptors. (English) Zbl 1358.34048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1730001, 25 p. (2017). MSC: 34C45 34C05 37D10 PDF BibTeX XML Cite \textit{C. Lopesino} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1730001, 25 p. (2017; Zbl 1358.34048) Full Text: DOI arXiv
Wang, Changliang Stability of Riemannian manifolds with Killing spinors. (English) Zbl 1368.53038 Int. J. Math. 28, No. 1, Article ID 1750005, 19 p. (2017). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 53C25 53C27 PDF BibTeX XML Cite \textit{C. Wang}, Int. J. Math. 28, No. 1, Article ID 1750005, 19 p. (2017; Zbl 1368.53038) Full Text: DOI arXiv
Zagrebina, Sof’ya Aleksandrovna; Sagadeeva, Minzilya Almasovna Stable and unstable solution manifolds of semilinear equations of Sobolev type. (Устойчнвые и неустойчивые многообразия решений полулинейных уравнений соболевского типа.) (Russian) Zbl 1448.47006 Chelyabinsk: Izd. Tsentr Yuzhno-Ural’skiĭ Gosudarstvennyĭ Universitet (ISBN 978-5-696-04746-1/pbk). 121 p. (2016). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 47-02 47J06 47J35 34D35 35Q35 35-02 PDF BibTeX XML Cite \textit{S. A. Zagrebina} and \textit{M. A. Sagadeeva}, Устойчнвые и неустойчивые многообразия решений полулинейных уравнений соболевского типа (Russian). Chelyabinsk: Izd. Tsentr Yuzhno-Ural'skiĭ Gosudarstvennyĭ Universitet (2016; Zbl 1448.47006)
Sharaf, Khadijah An existence results for a nonlinear boundary value problem via topological arguments. (English) Zbl 1368.58006 Topol. Methods Nonlinear Anal. 48, No. 1, 31-43 (2016). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E05 35J65 53C21 35B40 PDF BibTeX XML Cite \textit{K. Sharaf}, Topol. Methods Nonlinear Anal. 48, No. 1, 31--43 (2016; Zbl 1368.58006) Full Text: DOI
Balibrea-Iniesta, Francisco; Lopesino, Carlos; Wiggins, Stephen; Mancho, Ana M. Lagrangian descriptors for stochastic differential equations: a tool for revealing the phase portrait of stochastic dynamical systems. (English) Zbl 1354.37055 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1630036, 20 p. (2016). MSC: 37H10 34F05 60H10 37H15 PDF BibTeX XML Cite \textit{F. Balibrea-Iniesta} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1630036, 20 p. (2016; Zbl 1354.37055) Full Text: DOI arXiv
Guo, Peng; Shen, Jun Smooth center manifolds for random dynamical systems. (English) Zbl 1357.60062 Rocky Mt. J. Math. 46, No. 6, 1925-1962 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 60H10 37H10 37D10 34F05 PDF BibTeX XML Cite \textit{P. Guo} and \textit{J. Shen}, Rocky Mt. J. Math. 46, No. 6, 1925--1962 (2016; Zbl 1357.60062) Full Text: DOI Euclid
Hüls, Thorsten On the approximation of stable and unstable fiber bundles of (non)autonomous odes – a contour algorithm. (English) Zbl 1343.37085 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 7, Article ID 1650118, 10 p. (2016). MSC: 37M99 34C45 37C60 PDF BibTeX XML Cite \textit{T. Hüls}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 7, Article ID 1650118, 10 p. (2016; Zbl 1343.37085) Full Text: DOI
Climenhaga, Vaughn; Pesin, Yakov Hadamard-Perron theorems and effective hyperbolicity. (English) Zbl 1364.37066 Ergodic Theory Dyn. Syst. 36, No. 1, 23-63 (2016). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37D05 37D10 37D25 37D30 PDF BibTeX XML Cite \textit{V. Climenhaga} and \textit{Y. Pesin}, Ergodic Theory Dyn. Syst. 36, No. 1, 23--63 (2016; Zbl 1364.37066) Full Text: DOI arXiv
Mireles James, J. D. Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits. (English) Zbl 1329.37081 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1102-1133 (2015). MSC: 37M25 37D10 PDF BibTeX XML Cite \textit{J. D. Mireles James}, Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1102--1133 (2015; Zbl 1329.37081) Full Text: DOI
Li, Ji; Lu, Kening; Bates, Peter W. Geometric singular perturbation theory with real noise. (English) Zbl 1332.34099 J. Differ. Equations 259, No. 10, 5137-5167 (2015). Reviewer: Georgi Medvedev (Ambler) MSC: 34E15 34F05 34C45 34C37 37H10 PDF BibTeX XML Cite \textit{J. Li} et al., J. Differ. Equations 259, No. 10, 5137--5167 (2015; Zbl 1332.34099) Full Text: DOI
Bahri, Abbas A linking/\(S^1\)-equivariant variational argument in the space of dual Legendrian curves and the proof of the Weinstein conjecture on \(S^3\) “in the large”. (English) Zbl 1335.53110 Adv. Nonlinear Stud. 15, No. 3, 497-526 (2015). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 53D35 58E05 37J45 35A15 PDF BibTeX XML Cite \textit{A. Bahri}, Adv. Nonlinear Stud. 15, No. 3, 497--526 (2015; Zbl 1335.53110) Full Text: DOI arXiv
Groisman, Jorge; Nitecki, Zbigniew Foliations and conjugacy: Anosov structures in the plane. (English) Zbl 1355.37049 Ergodic Theory Dyn. Syst. 35, No. 4, 1229-1242 (2015). MSC: 37D20 37C15 57R30 37C85 37C20 37D10 PDF BibTeX XML Cite \textit{J. Groisman} and \textit{Z. Nitecki}, Ergodic Theory Dyn. Syst. 35, No. 4, 1229--1242 (2015; Zbl 1355.37049) Full Text: DOI arXiv
Lee, Donggyu; Lee, Dongjin; Choi, Hyunje; Jo, Sungbae Dynamics on an invariant set of a two-dimensional area-preserving piecewise linear map. (English) Zbl 1306.70015 East Asian Math. J. 30, No. 5, 583-597 (2014). MSC: 70K50 70H08 37D45 34D45 37J40 PDF BibTeX XML Cite \textit{D. Lee} et al., East Asian Math. J. 30, No. 5, 583--597 (2014; Zbl 1306.70015) Full Text: DOI
Huy, Nguyen Thieu; Ha, Vu Thi Ngoc Admissibly integral manifolds for semilinear evolution equations. (English) Zbl 1315.34049 Ann. Pol. Math. 112, No. 2, 127-163 (2014). Reviewer: Rodica Luca (Iaşi) MSC: 34C45 34D09 34G20 35B40 PDF BibTeX XML Cite \textit{N. T. Huy} and \textit{V. T. N. Ha}, Ann. Pol. Math. 112, No. 2, 127--163 (2014; Zbl 1315.34049) Full Text: DOI
Weber, Joa A backward \(\lambda\)-lemma for the forward heat flow. (English) Zbl 1306.37090 Math. Ann. 359, No. 3-4, 929-967 (2014). Reviewer: Weiping Li (Stillwater) MSC: 37L05 37L15 37L25 37L45 35K05 PDF BibTeX XML Cite \textit{J. Weber}, Math. Ann. 359, No. 3--4, 929--967 (2014; Zbl 1306.37090) Full Text: DOI arXiv
Mireles James, J. D. Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations. (English) Zbl 1277.37035 J. Nonlinear Sci. 23, No. 4, 585-615 (2013). MSC: 37C05 37D10 37D45 PDF BibTeX XML Cite \textit{J. D. Mireles James}, J. Nonlinear Sci. 23, No. 4, 585--615 (2013; Zbl 1277.37035) Full Text: DOI
Zou, Yanqing; Du, Kun; Guo, Qilong; Qiu, Ruifeng Unstabilized self-amalgamation of a Heegaard splitting. (English) Zbl 1272.57010 Topology Appl. 160, No. 2, 406-411 (2013). Reviewer: Leonid Plachta (Kraków) MSC: 57M27 57N10 PDF BibTeX XML Cite \textit{Y. Zou} et al., Topology Appl. 160, No. 2, 406--411 (2013; Zbl 1272.57010) Full Text: DOI
Laudenbach, François [Labourie, François] Transversality, currents and Morse theory. A course of differential topology. Exercises proposed by François Labourie. (Transversalité, courants et théorie de Morse. Un cours de topologie différentielle.) (French) Zbl 1280.57001 Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1585-5/pbk). x, 182 p. (2012). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 57-01 57Rxx 58A25 53C20 PDF BibTeX XML Cite \textit{F. Laudenbach}, Transversalité, courants et théorie de Morse. Un cours de topologie différentielle. Palaiseau: Les Éditions de l'École Polytechnique (2012; Zbl 1280.57001)
Fan, Haitao; Lin, Xiao-Biao A dynamical systems approach to traveling wave solutions for liquid/vapor phase transition. (English) Zbl 1263.35061 Mallet-Paret, John (ed.) et al., Infinite dimensional dynamical systems. Collected papers of the international conference, Toronto, Canada, September 24–28, 2008. New York, NY: Springer; Toronto: Fields Institute for Research in Mathematical Sciences (ISBN 978-1-4614-4522-7/hbk; 978-1-4614-4523-4/ebook). Fields Institute Communications 64, 101-117 (2012). MSC: 35C07 82B26 37C29 PDF BibTeX XML Cite \textit{H. Fan} and \textit{X.-B. Lin}, Fields Inst. Commun. 64, 101--117 (2012; Zbl 1263.35061) Full Text: DOI
de la Llave, Rafael; Lomelí, Héctor E. Invariant manifolds for analytic difference equations. (English) Zbl 1260.39008 SIAM J. Appl. Dyn. Syst. 11, No. 4, 1614-1651 (2012). MSC: 39A12 34K19 34K28 34K32 37D10 37J15 37J45 70H03 PDF BibTeX XML Cite \textit{R. de la Llave} and \textit{H. E. Lomelí}, SIAM J. Appl. Dyn. Syst. 11, No. 4, 1614--1651 (2012; Zbl 1260.39008) Full Text: DOI arXiv
Huy, Nguyen Thieu; Duoc, Trinh Viet Integral manifolds and their attraction property for evolution equations in admissible function spaces. (English) Zbl 1251.34062 Taiwanese J. Math. 16, No. 3, 963-985 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34C45 34D09 34D10 34G20 PDF BibTeX XML Cite \textit{N. T. Huy} and \textit{T. V. Duoc}, Taiwanese J. Math. 16, No. 3, 963--985 (2012; Zbl 1251.34062) Full Text: DOI Link
Fenley, Sérgio Ideal boundaries of pseudo-Anosov flows and uniform convergence groups with connections and applications to large scale geometry. (English) Zbl 1279.37026 Geom. Topol. 16, No. 1, 1-110 (2012). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 37D20 53C23 57R30 57M50 58D19 PDF BibTeX XML Cite \textit{S. Fenley}, Geom. Topol. 16, No. 1, 1--110 (2012; Zbl 1279.37026) Full Text: DOI arXiv
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique Stability of a Ricker-type competition model and the competitive exclusion principle. (English) Zbl 1236.92070 J. Biol. Dyn. 5, No. 6, 636-660 (2011). MSC: 92D40 39A10 39A60 39A30 39A28 PDF BibTeX XML Cite \textit{R. Luís} et al., J. Biol. Dyn. 5, No. 6, 636--660 (2011; Zbl 1236.92070) Full Text: DOI
Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber Bifurcation and invariant manifolds of the logistic competition model. (English) Zbl 1244.39012 J. Difference Equ. Appl. 17, No. 12, 1851-1872 (2011). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A28 39A30 39A33 39A20 PDF BibTeX XML Cite \textit{M. Guzowska} et al., J. Difference Equ. Appl. 17, No. 12, 1851--1872 (2011; Zbl 1244.39012) Full Text: DOI Link
Nakanishi, Kenji; Schlag, Wilhelm Invariant manifolds and dispersive Hamiltonian evolution equations. (English) Zbl 1235.37002 Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-095-1/pbk). 253 p. (2011). Reviewer: Ömer Kavaklioglu (Washington) MSC: 37-02 37D10 37K40 37K45 35L70 35Q55 PDF BibTeX XML Cite \textit{K. Nakanishi} and \textit{W. Schlag}, Invariant manifolds and dispersive Hamiltonian evolution equations. Zürich: European Mathematical Society (EMS) (2011; Zbl 1235.37002) Full Text: DOI Link
Liu, Pei-Dong; Shu, Lin Absolute continuity of hyperbolic invariant measures for endomorphisms. (English) Zbl 1237.37028 Nonlinearity 24, No. 5, 1595-1611 (2011). Reviewer: Joan Porti (Bellaterra) MSC: 37D40 PDF BibTeX XML Cite \textit{P.-D. Liu} and \textit{L. Shu}, Nonlinearity 24, No. 5, 1595--1611 (2011; Zbl 1237.37028) Full Text: DOI
Matsuoka, Chihiro; Hiraide, Koichi Special functions created by Borel-Laplace transform of Hénon map. (English) Zbl 1214.39009 Electron. Res. Announc. Math. Sci. 18, 1-11 (2011). MSC: 39A45 44A10 37D45 PDF BibTeX XML Cite \textit{C. Matsuoka} and \textit{K. Hiraide}, Electron. Res. Announc. Math. Sci. 18, 1--11 (2011; Zbl 1214.39009) Full Text: DOI
Lu, Nan; Zeng, Chongchun Normally elliptic singular perturbations and persistence of homoclinic orbits. (English) Zbl 1227.34056 J. Differ. Equations 250, No. 11, 4124-4176 (2011). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34E13 34C37 34C45 PDF BibTeX XML Cite \textit{N. Lu} and \textit{C. Zeng}, J. Differ. Equations 250, No. 11, 4124--4176 (2011; Zbl 1227.34056) Full Text: DOI arXiv
Kloeden, P. E.; Rodrigues, H. M. Dynamics of a class of ODEs more general than almost periodic. (English) Zbl 1217.34101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 7, 2695-2719 (2011). Reviewer: Christian Pötzsche (München) MSC: 34G20 34C25 34C27 34E10 34D45 34C45 PDF BibTeX XML Cite \textit{P. E. Kloeden} and \textit{H. M. Rodrigues}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 7, 2695--2719 (2011; Zbl 1217.34101) Full Text: DOI
Branicki, Michał; Mancho, Ana M.; Wiggins, Stephen A Lagrangian description of transport associated with a front-eddy interaction: application to data from the North-Western Mediterranean Sea. (English) Zbl 1217.86005 Physica D 240, No. 3, 282-304 (2011). Reviewer: Felix Kaplanski (Tallinn) MSC: 86A10 86-08 37N10 37M20 PDF BibTeX XML Cite \textit{M. Branicki} et al., Physica D 240, No. 3, 282--304 (2011; Zbl 1217.86005) Full Text: DOI
Mihailescu, Eugen Local geometry and dynamical behavior on folded basic sets. (English) Zbl 1236.37020 J. Stat. Phys. 142, No. 1, 154-167 (2011). Reviewer: Rainer Brück (Dortmund) MSC: 37C45 37D35 PDF BibTeX XML Cite \textit{E. Mihailescu}, J. Stat. Phys. 142, No. 1, 154--167 (2011; Zbl 1236.37020) Full Text: DOI
Branicki, M.; Kirwan, A. D. jun. Stirring: the Eckart paradigm revisited. (English) Zbl 1231.86003 Int. J. Eng. Sci. 48, No. 11, 1027-1042 (2010). MSC: 86A05 37N10 76F20 76F25 PDF BibTeX XML Cite \textit{M. Branicki} and \textit{A. D. Kirwan jun.}, Int. J. Eng. Sci. 48, No. 11, 1027--1042 (2010; Zbl 1231.86003) Full Text: DOI Link
Colombo, Giovanni; Fečkan, Michal; Garay, Barnabas M. Multivalued perturbations of a saddle dynamics. (English) Zbl 1211.37028 Differ. Equ. Dyn. Syst. 18, No. 1-2, 29-56 (2010). Reviewer: Pei-Chu Hu (Jinan) MSC: 37D10 34A60 37B55 39A30 PDF BibTeX XML Cite \textit{G. Colombo} et al., Differ. Equ. Dyn. Syst. 18, No. 1--2, 29--56 (2010; Zbl 1211.37028) Full Text: DOI
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian \({\mathcal A}\)-stability of global attractors of competition diffusion systems. (English) Zbl 1205.35032 J. Dyn. Differ. Equations 22, No. 3, 533-561 (2010). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B41 35B42 37D15 35K51 92D25 PDF BibTeX XML Cite \textit{G. Hetzer} et al., J. Dyn. Differ. Equations 22, No. 3, 533--561 (2010; Zbl 1205.35032) Full Text: DOI
Lian, Zeng; Lu, Kening Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. (English) Zbl 1200.37047 Mem. Am. Math. Soc. 967, v, 106 p. (2010). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 37H15 37A30 37L55 47A35 PDF BibTeX XML Cite \textit{Z. Lian} and \textit{K. Lu}, Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1200.37047) Full Text: DOI
Shipilov, A. S. On stability of solutions for a nonclassical equation. (Russian. English summary) Zbl 1195.35050 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 27(170), No. 4, 116-119 (2009). MSC: 35B35 37L25 35G31 PDF BibTeX XML Cite \textit{A. S. Shipilov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 27(170), No. 4, 116--119 (2009; Zbl 1195.35050) Full Text: Link
Kryzhevich, S. G.; Skolyarov, A. Yu. Approximation methods for unstable manifolds of equilibrium points of autonomous systems. (English) Zbl 1192.34055 Uraltseva, N.N.(ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. XIV. Transl. from the Russian by Tamara Rozhkovskaya. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4802-9/hbk). Translations. Series 2. American Mathematical Society 228, 31-44 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C45 34C05 41Axx 65Lxx PDF BibTeX XML Cite \textit{S. G. Kryzhevich} and \textit{A. Yu. Skolyarov}, Transl., Ser. 2, Am. Math. Soc. 228, 31--44 (2009; Zbl 1192.34055)
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems. (English) Zbl 1228.37042 Physica D 238, No. 17, 1797-1807 (2009). MSC: 37J40 37K55 37M15 PDF BibTeX XML Cite \textit{M. Guzzo} et al., Physica D 238, No. 17, 1797--1807 (2009; Zbl 1228.37042) Full Text: DOI Link
Sataev, E. A. Some properties of singular hyperbolic attractors. (English. Russian original) Zbl 1174.37008 Sb. Math. 200, No. 1, 35-76 (2009); translation from Mat. Sb. 200, No. 1, 37-80 (2009). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37D10 37C10 37C40 37C75 37D20 37D30 37D45 PDF BibTeX XML Cite \textit{E. A. Sataev}, Sb. Math. 200, No. 1, 35--76 (2009; Zbl 1174.37008); translation from Mat. Sb. 200, No. 1, 37--80 (2009) Full Text: DOI
Palmer, Kenneth J. Transversal periodic-to-periodic homoclinic orbits. (English) Zbl 1187.34002 Battelli, Flaviano (ed.) et al., Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-53031-8/hbk). Handbook of Differential Equations, 365-439 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34-02 34C37 34C28 37D45 PDF BibTeX XML Cite \textit{K. J. Palmer}, in: Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland. 365--439 (2008; Zbl 1187.34002)
Mitryakova, T. M. Construction of diffeomorphisms with a finite number of orbits of heteroclinic tangencies on surfaces. (Russian. English summary) Zbl 1164.37008 Tr. Sredn. Mat. Obshch. 10, No. 1, 222-231 (2008). Reviewer: Pavel A. Shamanaev (Saransk) MSC: 37C05 PDF BibTeX XML Cite \textit{T. M. Mitryakova}, Tr. Sredn. Mat. Obshch. 10, No. 1, 222--231 (2008; Zbl 1164.37008)
Shen, Yibing; Wei, Shihshu Walter The stability of harmonic maps on Finsler manifolds. (English) Zbl 1162.53054 Houston J. Math. 34, No. 4, 1049-1056 (2008). MSC: 53C60 53C43 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{S. W. Wei}, Houston J. Math. 34, No. 4, 1049--1056 (2008; Zbl 1162.53054) Full Text: Link
Stern, Julie V.; Osinga, Hinke M.; Lebeau, Andrew; Sherman, Arthur Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus. (English) Zbl 1281.92021 Bull. Math. Biol. 70, No. 1, 68-88 (2008). MSC: 92C37 37N25 PDF BibTeX XML Cite \textit{J. V. Stern} et al., Bull. Math. Biol. 70, No. 1, 68--88 (2008; Zbl 1281.92021) Full Text: DOI
Adimy, Mostafa; Ezzinbi, Khalil; Ouhinou, Aziz Behavior near hyperbolic stationary solutions for partial functional differential equations with infinite delay. (English) Zbl 1202.34137 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2280-2302 (2008). MSC: 34K30 34K25 35R10 34K19 34K21 34K20 PDF BibTeX XML Cite \textit{M. Adimy} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2280--2302 (2008; Zbl 1202.34137) Full Text: DOI
Lomelí, Héctor E.; Meiss, James D.; Ramírez-Ros, Rafael Canonical Melnikov theory for diffeomorphisms. (English) Zbl 1133.37026 Nonlinearity 21, No. 3, 485-508 (2008). MSC: 37J45 70H09 37D10 PDF BibTeX XML Cite \textit{H. E. Lomelí} et al., Nonlinearity 21, No. 3, 485--508 (2008; Zbl 1133.37026) Full Text: DOI arXiv
England, J. P.; Krauskopf, B.; Osinga, H. M. Computing two-dimensional global invariant manifolds in slow-fast systems. (English) Zbl 1140.37365 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 3, 805-822 (2007). MSC: 37M99 34C14 37D10 65P99 34C25 37N25 37N20 PDF BibTeX XML Cite \textit{J. P. England} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 3, 805--822 (2007; Zbl 1140.37365) Full Text: DOI
Do, Younghae A mechanism for dangerous border collision bifurcations. (English) Zbl 1140.37344 Chaos Solitons Fractals 32, No. 2, 352-362 (2007). MSC: 37G15 37G35 37D10 PDF BibTeX XML Cite \textit{Y. Do}, Chaos Solitons Fractals 32, No. 2, 352--362 (2007; Zbl 1140.37344) Full Text: DOI
Yamaguchi, Yoshihiro; Tanikawa, Kiyotaka Non-Birkhoff periodic orbits of Farey type and dynamical ordering in the standard mapping. (English) Zbl 1189.37025 Prog. Theor. Phys. 117, No. 4, 601-632 (2007). MSC: 37C25 37E30 37J10 PDF BibTeX XML Cite \textit{Y. Yamaguchi} and \textit{K. Tanikawa}, Prog. Theor. Phys. 117, No. 4, 601--632 (2007; Zbl 1189.37025) Full Text: DOI
Dias Carneiro, M. J.; Oliffson Kamphorst, S.; Pinto-de-Carvalho, S. Periodic orbits of generic oval billiards. (English) Zbl 1126.37021 Nonlinearity 20, No. 10, 2453-2462 (2007). MSC: 37D50 37C20 37E40 37C27 37D10 37J10 PDF BibTeX XML Cite \textit{M. J. Dias Carneiro} et al., Nonlinearity 20, No. 10, 2453--2462 (2007; Zbl 1126.37021) Full Text: DOI
Carballo, C. M.; Morales, C. A.; Martin, B. San Nonexistence of Bonatti-Langevin examples of Anosov flows on closed four manifolds. (English) Zbl 1111.37017 Topology Appl. 154, No. 2, 326-332 (2007). Reviewer: Andrzej Piatkowski (Łódź) MSC: 37D20 57R30 37C85 57R15 PDF BibTeX XML Cite \textit{C. M. Carballo} et al., Topology Appl. 154, No. 2, 326--332 (2007; Zbl 1111.37017) Full Text: DOI
Kuang, J. L.; Meehan, P. A.; Leung, A. Y. T. On the chaotic instability of a nonsliding liquid-filled top with a small spheroidal base via Melnikov-Holmes-Marsden integrals. (English) Zbl 1170.70309 Nonlinear Dyn. 46, No. 1-2, 113-147 (2006). MSC: 70E50 70E18 70K55 70K44 PDF BibTeX XML Cite \textit{J. L. Kuang} et al., Nonlinear Dyn. 46, No. 1--2, 113--147 (2006; Zbl 1170.70309) Full Text: DOI
Shafranov, D. E. Phase space and stability of the Oskolkov system on a Riemannian manifold. (Russian) Zbl 1170.35501 Vestn. MaGU, Mat. 9, 132-140 (2006). MSC: 35Q35 35K60 47N20 58J05 35B35 PDF BibTeX XML Cite \textit{D. E. Shafranov}, Vestn. MaGU, Mat. 9, 132--140 (2006; Zbl 1170.35501)
Yamaguchi, Yoshihiro; Tanikawa, Kiyotaka Order of appearance of homoclinic points for the Hénon map. (English) Zbl 1113.37023 Prog. Theor. Phys. 116, No. 6, 1029-1049 (2006). MSC: 37E30 37B10 37B40 37A05 37G40 PDF BibTeX XML Cite \textit{Y. Yamaguchi} and \textit{K. Tanikawa}, Prog. Theor. Phys. 116, No. 6, 1029--1049 (2006; Zbl 1113.37023) Full Text: DOI
Fisher, Todd Hyperbolic sets with nonempty interior. (English) Zbl 1112.37024 Discrete Contin. Dyn. Syst. 15, No. 2, 433-446 (2006). MSC: 37D20 37D05 37B35 37C70 37C25 PDF BibTeX XML Cite \textit{T. Fisher}, Discrete Contin. Dyn. Syst. 15, No. 2, 433--446 (2006; Zbl 1112.37024) Full Text: DOI
Bedford, Eric; Smillie, John Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. (English) Zbl 1135.37015 Ergodic Theory Dyn. Syst. 26, No. 5, 1259-1283 (2006). Reviewer: Andrzej Pelczar (Kraków) MSC: 37E30 37B40 37C05 37C29 37G25 PDF BibTeX XML Cite \textit{E. Bedford} and \textit{J. Smillie}, Ergodic Theory Dyn. Syst. 26, No. 5, 1259--1283 (2006; Zbl 1135.37015) Full Text: DOI arXiv
Stoop, Ruedi; Steeb, Willi-Hans Computable chaos in dynamical systems. (Berechenbares Chaos in dynamischen Systemen.) (German) Zbl 1096.65128 Basel: Birkhäuser (ISBN 3-7643-7550-7/pbk). xii, 264 p. (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65P20 37D45 65P10 65P30 65P40 65-02 37-02 37M20 37M25 PDF BibTeX XML Cite \textit{R. Stoop} and \textit{W.-H. Steeb}, Berechenbares Chaos in dynamischen Systemen. Basel: Birkhäuser (2006; Zbl 1096.65128)
Donnay, V. J. Creating transverse homoclinic connections in planar billiards. (English. Russian original) Zbl 1120.37040 J. Math. Sci., New York 128, No. 2, 2747-2753 (2005); translation from Zap. Nauchn. Semin. POMI 300, 122-134 (2003). MSC: 37J45 37D50 70K44 37D10 PDF BibTeX XML Cite \textit{V. J. Donnay}, J. Math. Sci., New York 128, No. 2, 2747--2753 (2005; Zbl 1120.37040); translation from Zap. Nauchn. Semin. POMI 300, 122--134 (2003) Full Text: DOI
Nagai, Toshitaka Structure of solutions to a chemotaxis system in one space dimension. (English) Zbl 1120.35021 Methods Appl. Anal. 12, No. 3, 221-238 (2005). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35K50 37L25 92C17 PDF BibTeX XML Cite \textit{T. Nagai}, Methods Appl. Anal. 12, No. 3, 221--238 (2005; Zbl 1120.35021) Full Text: DOI
Li, Y. Charles Invariant manifolds and their zero-viscosity limits for Navier-Stokes equations. (English) Zbl 1105.35083 Dyn. Partial Differ. Equ. 2, No. 2, 159-186 (2005). Reviewer: Thomas Hagen (Memphis) MSC: 35Q30 35P10 37L25 35B35 37N10 76M45 PDF BibTeX XML Cite \textit{Y. C. Li}, Dyn. Partial Differ. Equ. 2, No. 2, 159--186 (2005; Zbl 1105.35083) Full Text: DOI arXiv
Pötzsche, Christian; Rasmussen, Martin Local approximation of invariant fiber bundles: an algorithmic approach. (English) Zbl 1094.65128 Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-520-5/hbk). 155-170 (2005). MSC: 65P40 37-04 37D10 37C60 PDF BibTeX XML Cite \textit{C. Pötzsche} and \textit{M. Rasmussen}, in: Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2--7, 2004. Hackensack, NJ: World Scientific. 155--170 (2005; Zbl 1094.65128)
England, J. P.; Krauskopf, B.; Osinga, H. M. Computing one-dimensional global manifolds of Poincaré maps by continuation. (English) Zbl 1090.37055 SIAM J. Appl. Dyn. Syst. 4, No. 4, 1008-1041 (2005). MSC: 37M20 65L20 37D10 37C27 37N05 70K70 37N25 70K40 37N20 78A60 PDF BibTeX XML Cite \textit{J. P. England} et al., SIAM J. Appl. Dyn. Syst. 4, No. 4, 1008--1041 (2005; Zbl 1090.37055) Full Text: DOI
Voorhees, Burton; Nip, Alexander Ordinary differential equations with star structure. (English) Zbl 1096.34005 J. Dyn. Syst. Geom. Theor. 3, No. 2, 121-152 (2005). Reviewer: Angela Slavova (Sofia) MSC: 34A34 34A26 34C30 PDF BibTeX XML Cite \textit{B. Voorhees} and \textit{A. Nip}, J. Dyn. Syst. Geom. Theor. 3, No. 2, 121--152 (2005; Zbl 1096.34005) Full Text: DOI
Barreira, Luis; Valls, Claudia Higher regularity of invariant manifolds for nonautonomous equations. (English) Zbl 1089.34040 Nonlinearity 18, No. 5, 2373-2390 (2005). Reviewer: Stefan Siegmund (Frankfurt) MSC: 34C45 34D09 37C60 34D08 PDF BibTeX XML Cite \textit{L. Barreira} and \textit{C. Valls}, Nonlinearity 18, No. 5, 2373--2390 (2005; Zbl 1089.34040) Full Text: DOI
Kornev, A. A. On the Hadamard-Perron lemma. (English) Zbl 1095.37006 J. Math. Sci., New York 126, No. 5, 1436-1444 (2005). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D10 PDF BibTeX XML Cite \textit{A. A. Kornev}, J. Math. Sci., New York 126, No. 5, 1436--1444 (2005; Zbl 1095.37006) Full Text: DOI
Chian, Abraham C.-L.; Borotto, Felix A.; Rempel, Erico L.; Rogers, Colin Attractor merging crisis in chaotic business cycles. (English) Zbl 1081.37058 Chaos Solitons Fractals 24, No. 3, 869-875 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37N40 37D45 37C27 91B62 37C70 PDF BibTeX XML Cite \textit{A. C. L. Chian} et al., Chaos Solitons Fractals 24, No. 3, 869--875 (2005; Zbl 1081.37058) Full Text: DOI