Fan, Feiting; Wei, Minzhi Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion. (English) Zbl 07808486 Physica D 458, Article ID 133995, 11 p. (2024). MSC: 35Q53 35Q35 35C07 35C08 35B10 35B25 35A01 35A02 35R07 35A01 41A50 14K10 PDFBibTeX XMLCite \textit{F. Fan} and \textit{M. Wei}, Physica D 458, Article ID 133995, 11 p. (2024; Zbl 07808486) Full Text: DOI
Escorcia, José M.; Mailybaev, Alexei A. Post-blowup dynamics for the nonlinear Schrödinger equation. (English) Zbl 07767815 Physica D 456, Article ID 133944, 10 p. (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{J. M. Escorcia} and \textit{A. A. Mailybaev}, Physica D 456, Article ID 133944, 10 p. (2023; Zbl 07767815) Full Text: DOI arXiv
Sensi, Mattia; Desroches, Mathieu; Rodrigues, Serafim Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal. (English) Zbl 1527.34084 Physica D 455, Article ID 133887, 12 p. (2023). MSC: 34C60 92C20 34E15 34C05 34D20 34C23 34C45 34E17 PDFBibTeX XMLCite \textit{M. Sensi} et al., Physica D 455, Article ID 133887, 12 p. (2023; Zbl 1527.34084) Full Text: DOI arXiv
Alfimov, G. L.; Fedotov, A. P.; Kutsenko, N. A.; Zezyulin, D. A. Stationary modes for vector nonlinear Schrödinger-type equations: a numerical procedure for complete search and its mathematical background. (English) Zbl 1525.34051 Physica D 454, Article ID 133858, 14 p. (2023). MSC: 34B16 34B30 68V05 PDFBibTeX XMLCite \textit{G. L. Alfimov} et al., Physica D 454, Article ID 133858, 14 p. (2023; Zbl 1525.34051) Full Text: DOI
Behta, Emma; Goldsztein, Guillermo H.; English, L. Q. Phase-locking dynamics for electronic relaxation oscillators via threshold pulse-modulation: comparing experimental and analytical Arnold tongues. (English) Zbl 1525.34072 Physica D 454, Article ID 133849, 14 p. (2023). MSC: 34C60 94C60 34C15 34D06 34E15 34C26 PDFBibTeX XMLCite \textit{E. Behta} et al., Physica D 454, Article ID 133849, 14 p. (2023; Zbl 1525.34072) Full Text: DOI
Pellhammer, Valentin A generically singular type of saddle-node bifurcation that occurs for relativistic shock waves. (English) Zbl 1521.34067 Physica D 453, Article ID 133829, 10 p. (2023). MSC: 34E15 34C23 34C37 76Y05 PDFBibTeX XMLCite \textit{V. Pellhammer}, Physica D 453, Article ID 133829, 10 p. (2023; Zbl 1521.34067) Full Text: DOI
Chapman, S. Jonathan; Dallaston, Michael C.; Kalliadasis, Serafim; Trinh, Philippe H.; Witelski, Thomas P. The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics. (English) Zbl 07722802 Physica D 453, Article ID 133802, 14 p. (2023). MSC: 35Q35 76A20 35C06 35B40 35B32 35B25 PDFBibTeX XMLCite \textit{S. J. Chapman} et al., Physica D 453, Article ID 133802, 14 p. (2023; Zbl 07722802) Full Text: DOI
Devi, Sapna; Fatma, Reda; Gupta, Nivedita Impacts of inclusion of time delay in efforts on the dynamics of forestry biomass, concentration of greenhouse gases and elevated temperature. (English) Zbl 1521.34056 Physica D 453, Article ID 133785, 17 p. (2023). MSC: 34C60 34K60 92C80 92D30 34C05 34D20 34C23 34K21 34K20 34K13 34K18 PDFBibTeX XMLCite \textit{S. Devi} et al., Physica D 453, Article ID 133785, 17 p. (2023; Zbl 1521.34056) Full Text: DOI
Lin, Zhe; Wen, Xiao-Yong Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation. (English) Zbl 1517.35011 Physica D 451, Article ID 133770, 19 p. (2023). MSC: 35A22 35C05 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{X.-Y. Wen}, Physica D 451, Article ID 133770, 19 p. (2023; Zbl 1517.35011) Full Text: DOI
Iuorio, Annalisa; Jankowiak, Gaspard; Szmolyan, Peter; Wolfram, Marie-Therese Canards in a bottleneck. (English) Zbl 1525.34087 Physica D 451, Article ID 133768, 18 p. (2023). Reviewer: Renato Huzak (Hasselt) MSC: 34E17 34B15 35Q84 34E15 PDFBibTeX XMLCite \textit{A. Iuorio} et al., Physica D 451, Article ID 133768, 18 p. (2023; Zbl 1525.34087) Full Text: DOI arXiv
Gomez, Daniel; Wei, Jun-cheng; Yang, Zhangyu Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system. (English) Zbl 1518.35038 Physica D 448, Article ID 133720, 12 p. (2023). MSC: 35B25 35C08 35C20 35K51 35K57 35R11 PDFBibTeX XMLCite \textit{D. Gomez} et al., Physica D 448, Article ID 133720, 12 p. (2023; Zbl 1518.35038) Full Text: DOI
Cortés, J.; Herrero, H.; Pla, F. A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem. (English) Zbl 1514.65126 Physica D 446, Article ID 133658, 15 p. (2023). Reviewer: Aaron Brunk (Mainz) MSC: 65M60 65M99 65H10 65F15 15A18 76R10 76D05 35Q79 35Q35 35Q86 PDFBibTeX XMLCite \textit{J. Cortés} et al., Physica D 446, Article ID 133658, 15 p. (2023; Zbl 1514.65126) Full Text: DOI
Cheng, Bin; Sakellaris, Zisis N. Near resonant approximation of the rotating stratified Boussinesq system on a 3-torus. (English) Zbl 1505.35296 Physica D 444, Article ID 133588, 29 p. (2023). MSC: 35Q35 35Q30 35B25 35B34 35B65 35A01 86A10 42B37 76U60 76D05 76D50 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{Z. N. Sakellaris}, Physica D 444, Article ID 133588, 29 p. (2023; Zbl 1505.35296) Full Text: DOI arXiv
Carmona, V.; Fernández-García, S.; Teruel, A. E. Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold. (English) Zbl 1517.34083 Physica D 443, Article ID 133566, 16 p. (2023). Reviewer: Renato Huzak (Hasselt) MSC: 34E17 34A36 34A30 34E15 34C23 PDFBibTeX XMLCite \textit{V. Carmona} et al., Physica D 443, Article ID 133566, 16 p. (2023; Zbl 1517.34083) Full Text: DOI
Novaes, Douglas D.; Rondón, Gabriel On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities. (English) Zbl 1518.34041 Physica D 442, Article ID 133526, 15 p. (2022). Reviewer: Fengqin Zhang (Yuncheng) MSC: 34C05 34A36 34C37 34C23 34D20 47N20 PDFBibTeX XMLCite \textit{D. D. Novaes} and \textit{G. Rondón}, Physica D 442, Article ID 133526, 15 p. (2022; Zbl 1518.34041) Full Text: DOI arXiv
Yan, Rong; Wang, Aili; Zhang, Xueying; He, Jingmin; Bai, Duo Dynamics of a non-smooth model of prostate cancer with intermittent androgen deprivation therapy. (English) Zbl 1509.34050 Physica D 442, Article ID 133522, 24 p. (2022). MSC: 34C60 92C37 34A36 34C05 34C23 34D20 34D05 PDFBibTeX XMLCite \textit{R. Yan} et al., Physica D 442, Article ID 133522, 24 p. (2022; Zbl 1509.34050) Full Text: DOI
Novaes, Douglas D. On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set. (English) Zbl 1507.34037 Physica D 441, Article ID 133523, 15 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34A36 34C23 34E10 34C05 PDFBibTeX XMLCite \textit{D. D. Novaes}, Physica D 441, Article ID 133523, 15 p. (2022; Zbl 1507.34037) Full Text: DOI arXiv
Kolokolnikov, Theodore; Ward, Michael A ring of spikes in a Schnakenberg model. (English) Zbl 1498.35026 Physica D 441, Article ID 133521, 13 p. (2022). MSC: 35B25 35K51 35K57 PDFBibTeX XMLCite \textit{T. Kolokolnikov} and \textit{M. Ward}, Physica D 441, Article ID 133521, 13 p. (2022; Zbl 1498.35026) Full Text: DOI
Xia, Jun; Xu, Shuai-Xia; Zhao, Yu-Qiu Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation. (English) Zbl 1491.34100 Physica D 434, Article ID 133254, 18 p. (2022). MSC: 34M55 PDFBibTeX XMLCite \textit{J. Xia} et al., Physica D 434, Article ID 133254, 18 p. (2022; Zbl 1491.34100) Full Text: DOI arXiv
Béjar-López, Alexis; Cunha, Cleyton; Soler, Juan Two-dimensional incompressible micropolar fluid models with singular initial data. (English) Zbl 1508.35059 Physica D 430, Article ID 133069, 14 p. (2022). MSC: 35Q35 76A05 76T20 76F99 35D30 35B35 35A02 PDFBibTeX XMLCite \textit{A. Béjar-López} et al., Physica D 430, Article ID 133069, 14 p. (2022; Zbl 1508.35059) Full Text: DOI
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng Boundary layer solutions in the Gierer-Meinhardt system with inhomogeneous boundary conditions. (English) Zbl 1484.35024 Physica D 429, Article ID 133071, 16 p. (2022). MSC: 35B25 35B36 35C20 35K51 35K57 PDFBibTeX XMLCite \textit{D. Gomez} et al., Physica D 429, Article ID 133071, 16 p. (2022; Zbl 1484.35024) Full Text: DOI
Grigorieva, E. V.; Kashchenko, S. A. Rectangular structures in the model of an optoelectronic oscillator with delay. (English) Zbl 1495.34112 Physica D 417, Article ID 132818, 9 p. (2021). Reviewer: Yong Ye (Shenzhen) MSC: 34K60 78A60 34K18 34K26 34K13 PDFBibTeX XMLCite \textit{E. V. Grigorieva} and \textit{S. A. Kashchenko}, Physica D 417, Article ID 132818, 9 p. (2021; Zbl 1495.34112) Full Text: DOI
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion. (English) Zbl 1500.34026 Physica D 415, Article ID 132730, 14 p. (2021). Reviewer: Minh Van Nguyen (Little Rock) MSC: 34C05 34C37 92D25 35C07 34C45 PDFBibTeX XMLCite \textit{A. Ducrot} et al., Physica D 415, Article ID 132730, 14 p. (2021; Zbl 1500.34026) Full Text: DOI arXiv
Shen, Jianhe; Zhang, Xiang Traveling pulses in a coupled FitzHugh-Nagumo equation. (English) Zbl 1492.34044 Physica D 418, Article ID 132848, 11 p. (2021). MSC: 34C37 34E15 35C07 92C37 35K57 PDFBibTeX XMLCite \textit{J. Shen} and \textit{X. Zhang}, Physica D 418, Article ID 132848, 11 p. (2021; Zbl 1492.34044) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. Asymptotic expansions for a degenerate canard explosion. (English) Zbl 1496.34094 Physica D 418, Article ID 132841, 12 p. (2021). Reviewer: Jianhe Shen (Fuzhou) MSC: 34E17 34E20 34E05 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Physica D 418, Article ID 132841, 12 p. (2021; Zbl 1496.34094) Full Text: DOI
Garzón, Manuel; Marò, Stefano Motions of a charged particle in the electromagnetic field induced by a non-stationary current. (English) Zbl 1483.78001 Physica D 424, Article ID 132945, 9 p. (2021). MSC: 78A35 78A25 35B10 35B35 35Q60 PDFBibTeX XMLCite \textit{M. Garzón} and \textit{S. Marò}, Physica D 424, Article ID 132945, 9 p. (2021; Zbl 1483.78001) Full Text: DOI arXiv
Chen, Shuang; Duan, Jinqiao; Li, Ji Dynamics of the Tyson-Hong-Thron-Novak circadian oscillator model. (English) Zbl 1494.34122 Physica D 420, Article ID 132869, 17 p. (2021). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C60 92C37 34E15 34C23 34E17 34C26 PDFBibTeX XMLCite \textit{S. Chen} et al., Physica D 420, Article ID 132869, 17 p. (2021; Zbl 1494.34122) Full Text: DOI arXiv
Jaïbi, Olfa; Doelman, Arjen; Chirilus-Bruckner, Martina; Meron, Ehud The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation. (English) Zbl 1485.92177 Physica D 412, Article ID 132637, 30 p. (2020). MSC: 92D40 35C07 35K57 35B25 PDFBibTeX XMLCite \textit{O. Jaïbi} et al., Physica D 412, Article ID 132637, 30 p. (2020; Zbl 1485.92177) Full Text: DOI arXiv
Płociniczak, Łukasz; Świtała, Mateusz Asymptotic behaviour of a solution to a nonlinear equation modelling capillary rise. (English) Zbl 1501.34016 Physica D 406, Article ID 132394, 9 p. (2020). Reviewer: Nicolae Lupa (Timişoara) MSC: 34A34 76D45 34A12 34E10 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, Physica D 406, Article ID 132394, 9 p. (2020; Zbl 1501.34016) Full Text: DOI arXiv
Piqueira, José Roberto C. Delay-free phase-locked loop ring: equilibrium and phase perturbation. (English) Zbl 1501.34036 Physica D 404, Article ID 132344, 8 p. (2020). MSC: 34C15 34D06 34C05 34D20 34D10 94A12 PDFBibTeX XMLCite \textit{J. R. C. Piqueira}, Physica D 404, Article ID 132344, 8 p. (2020; Zbl 1501.34036) Full Text: DOI
Ghazaryan, Anna; Lafortune, Stéphane; Linhart, Choral Flame propagation in a porous medium. (English) Zbl 1512.35050 Physica D 413, Article ID 132653, 14 p. (2020). MSC: 35B35 35C07 35K57 80A25 PDFBibTeX XMLCite \textit{A. Ghazaryan} et al., Physica D 413, Article ID 132653, 14 p. (2020; Zbl 1512.35050) Full Text: DOI
Chen, Hebai; Tang, Yilei A proof of Euzébio-Pazim-Ponce’s conjectures for a degenerate planar piecewise linear differential system with three zones. (English) Zbl 1453.34056 Physica D 401, Article ID 132150, 22 p. (2020). MSC: 34C23 34A36 34C05 34D20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Tang}, Physica D 401, Article ID 132150, 22 p. (2020; Zbl 1453.34056) Full Text: DOI
Granero-Belinchón, Rafael; Scrobogna, Stefano Asymptotic models for free boundary flow in porous media. (English) Zbl 1451.76120 Physica D 392, 1-16 (2019). MSC: 76S05 35R35 76M45 35J05 35C15 PDFBibTeX XMLCite \textit{R. Granero-Belinchón} and \textit{S. Scrobogna}, Physica D 392, 1--16 (2019; Zbl 1451.76120) Full Text: DOI arXiv Link
Bastiaansen, Robbin; Doelman, Arjen The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. (English) Zbl 1448.34096 Physica D 388, 45-72 (2019). MSC: 34C60 92D40 35Q92 35Q86 34A45 34D20 PDFBibTeX XMLCite \textit{R. Bastiaansen} and \textit{A. Doelman}, Physica D 388, 45--72 (2019; Zbl 1448.34096) Full Text: DOI arXiv
Chen, Hebai; Tang, Yilei At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. (English) Zbl 1415.34041 Physica D 386-387, 23-30 (2019). MSC: 34A36 34C05 34D20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Tang}, Physica D 386--387, 23--30 (2019; Zbl 1415.34041) Full Text: DOI
Zhang, Xiang Dynamics of a nonlinear equation modelling the capillary rise. (English) Zbl 1415.34062 Physica D 384-385, 34-38 (2018). MSC: 34C05 34C37 34D20 76D45 PDFBibTeX XMLCite \textit{X. Zhang}, Physica D 384--385, 34--38 (2018; Zbl 1415.34062) Full Text: DOI
Ilyin, Alexei; Rykov, Yuri; Zelik, Sergey Hyperbolic relaxation of the 2D Navier-Stokes equations in a bounded domain. (English) Zbl 1398.35147 Physica D 376-377, 171-179 (2018). MSC: 35Q30 35L10 35D35 35A01 35B41 35B44 PDFBibTeX XMLCite \textit{A. Ilyin} et al., Physica D 376--377, 171--179 (2018; Zbl 1398.35147) Full Text: DOI arXiv
Carty, Thomas E. Elementary solutions for a model Boltzmann equation in one dimension and the connection to grossly determined solutions. (English) Zbl 1415.35220 Physica D 347, 1-11 (2017). MSC: 35Q20 35C20 35P20 45E99 PDFBibTeX XMLCite \textit{T. E. Carty}, Physica D 347, 1--11 (2017; Zbl 1415.35220) Full Text: DOI arXiv
Hoffman, Aaron; Wright, J. Douglas Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio. (English) Zbl 1378.35067 Physica D 358, 33-59 (2017). MSC: 35C07 35C08 35B25 37K40 PDFBibTeX XMLCite \textit{A. Hoffman} and \textit{J. D. Wright}, Physica D 358, 33--59 (2017; Zbl 1378.35067) Full Text: DOI arXiv
Goeke, Alexandra; Walcher, Sebastian; Zerz, Eva Classical quasi-steady state reduction – a mathematical characterization. (English) Zbl 1378.34033 Physica D 345, 11-26 (2017). MSC: 34A45 92E20 34D15 PDFBibTeX XMLCite \textit{A. Goeke} et al., Physica D 345, 11--26 (2017; Zbl 1378.34033) Full Text: DOI arXiv
Lindstrom, Michael Assessment of the effects of azimuthal mode number perturbations upon the implosion processes of fluids in cylinders. (English) Zbl 1376.76020 Physica D 349, 77-90 (2017). MSC: 76L05 35B20 35C20 PDFBibTeX XMLCite \textit{M. Lindstrom}, Physica D 349, 77--90 (2017; Zbl 1376.76020) Full Text: DOI arXiv
Cardin, Pedro Toniol; Torregrosa, Joan Limit cycles in planar piecewise linear differential systems with nonregular separation line. (English) Zbl 1376.34028 Physica D 337, 67-82 (2016). MSC: 34C05 34A36 34E10 34C25 PDFBibTeX XMLCite \textit{P. T. Cardin} and \textit{J. Torregrosa}, Physica D 337, 67--82 (2016; Zbl 1376.34028) Full Text: DOI Link
Edwards, Roderick; Ironi, Liliana Periodic solutions of gene networks with steep sigmoidal regulatory functions. (English) Zbl 1349.92052 Physica D 282, 1-15 (2014). MSC: 92C40 92C42 PDFBibTeX XMLCite \textit{R. Edwards} and \textit{L. Ironi}, Physica D 282, 1--15 (2014; Zbl 1349.92052) Full Text: DOI
van Heijster, Peter; Sandstede, Björn Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. (English) Zbl 1341.37029 Physica D 275, 19-34 (2014). MSC: 37G10 35K57 35C05 35C07 37M05 PDFBibTeX XMLCite \textit{P. van Heijster} and \textit{B. Sandstede}, Physica D 275, 19--34 (2014; Zbl 1341.37029) Full Text: DOI
Kawamura, Yoji Collective phase dynamics of globally coupled oscillators: noise-induced anti-phase synchronization. (English) Zbl 1292.34036 Physica D 270, 20-29 (2014). MSC: 34C15 34D06 34F05 34C05 PDFBibTeX XMLCite \textit{Y. Kawamura}, Physica D 270, 20--29 (2014; Zbl 1292.34036) Full Text: DOI arXiv
Pellegrin, Xavier; Grotta-Ragazzo, C.; Malta, C. P.; Pakdaman, K. Metastable periodic patterns in singularly perturbed state-dependent delayed equations. (English) Zbl 1288.34065 Physica D 271, 48-63 (2014). MSC: 34K26 34K13 34K20 PDFBibTeX XMLCite \textit{X. Pellegrin} et al., Physica D 271, 48--63 (2014; Zbl 1288.34065) Full Text: DOI arXiv
Lloyd, David J. B.; O’Farrell, Hayley On localised hotspots of an urban crime model. (English) Zbl 1284.91486 Physica D 253, 23-39 (2013). MSC: 91D10 34C37 35B36 PDFBibTeX XMLCite \textit{D. J. B. Lloyd} and \textit{H. O'Farrell}, Physica D 253, 23--39 (2013; Zbl 1284.91486) Full Text: DOI
Carmona, Victoriano; Fernández-García, Soledad; Freire, Emilio Saddle-node bifurcation of invariant cones in 3D piecewise linear systems. (English) Zbl 1252.34044 Physica D 241, No. 5, 623-635 (2012). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C23 34C25 37G10 37G15 34C45 34D10 34A36 PDFBibTeX XMLCite \textit{V. Carmona} et al., Physica D 241, No. 5, 623--635 (2012; Zbl 1252.34044) Full Text: DOI
Guo, Wei; Spatschek, Robert; Steinbach, Ingo An analytical study of the static state of multi-junctions in a multi-phase field model. (English) Zbl 1221.34077 Physica D 240, No. 4-5, 382-388 (2011). Reviewer: Vladimir Răsvan (Craiova) MSC: 34C05 70S99 34A05 PDFBibTeX XMLCite \textit{W. Guo} et al., Physica D 240, No. 4--5, 382--388 (2011; Zbl 1221.34077) Full Text: DOI
Kolokolnikov, Theodore; Wei, Juncheng; Winter, Matthias Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates. (English) Zbl 1179.37120 Physica D 238, No. 16, 1695-1710 (2009). Reviewer: Guy Katriel (Haifa) MSC: 37N25 92B15 35K57 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Physica D 238, No. 16, 1695--1710 (2009; Zbl 1179.37120) Full Text: DOI
Adhikari, Mohit H.; Coutsias, Evangelos A.; McIver, John K. Periodic solutions of a singularly perturbed delay differential equation. (English) Zbl 1167.34029 Physica D 237, No. 24, 3307-3321 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 34K13 34K18 34K26 PDFBibTeX XMLCite \textit{M. H. Adhikari} et al., Physica D 237, No. 24, 3307--3321 (2008; Zbl 1167.34029) Full Text: DOI
Lafitte, Olivier The linear and nonlinear Rayleigh-Taylor instability for the quasi-isobaric profile. (English) Zbl 1147.76573 Physica D 237, No. 10-12, 1602-1639 (2008). MSC: 76E17 76E30 35Q35 PDFBibTeX XMLCite \textit{O. Lafitte}, Physica D 237, No. 10--12, 1602--1639 (2008; Zbl 1147.76573) Full Text: DOI arXiv
DeVille, R. E. Lee; Harkin, Anthony; Holzer, Matt; Josić, Krešimir; Kaper, Tasso J. Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations. (English) Zbl 1145.34331 Physica D 237, No. 8, 1029-1052 (2008). MSC: 34C20 34E13 34E15 34E05 PDFBibTeX XMLCite \textit{R. E. L. DeVille} et al., Physica D 237, No. 8, 1029--1052 (2008; Zbl 1145.34331) Full Text: DOI Link
Hek, Geertje; Valkhoff, Nienke Pulses in a complex Ginzburg-Landau system: Persistence under coupling with slow diffusion. (English) Zbl 1158.34032 Physica D 232, No. 1, 62-85 (2007). Reviewer: Gabriela Litcanu (Iaşi) MSC: 34C37 34E15 35K57 PDFBibTeX XMLCite \textit{G. Hek} and \textit{N. Valkhoff}, Physica D 232, No. 1, 62--85 (2007; Zbl 1158.34032) Full Text: DOI
Holm, Darryl D.; Putkaradze, Vakhtang Formation of clumps and patches in self-aggregation of finite-size particles. (English) Zbl 1125.82021 Physica D 220, No. 2, 183-196 (2006). Reviewer: Adrian Neagu (Timisoara) MSC: 82C21 35M10 35K57 92C17 PDFBibTeX XMLCite \textit{D. D. Holm} and \textit{V. Putkaradze}, Physica D 220, No. 2, 183--196 (2006; Zbl 1125.82021) Full Text: DOI arXiv
Huang, Debin; Zhang, Lizhen Dynamics of the Lorenz–Robbins system with control. (English) Zbl 1108.34038 Physica D 218, No. 2, 131-138 (2006). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C05 93C15 93C40 34C28 34H05 PDFBibTeX XMLCite \textit{D. Huang} and \textit{L. Zhang}, Physica D 218, No. 2, 131--138 (2006; Zbl 1108.34038) Full Text: DOI
Yagasaki, Kazuyuki; Wagenknecht, Thomas Detection of symmetric homoclinic orbits to saddle-centres in reversible systems. (English) Zbl 1101.37017 Physica D 214, No. 2, 169-181 (2006). MSC: 37C10 37C29 37C80 37G20 34C37 37K40 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{T. Wagenknecht}, Physica D 214, No. 2, 169--181 (2006; Zbl 1101.37017) Full Text: DOI Link
Khanh, Nguyen Huu; Homburg, Ale Jan Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection. (English) Zbl 1125.37307 Physica D 211, No. 3-4, 235-262 (2005). MSC: 37C29 76F20 34C37 37E05 37G20 37G30 37G35 PDFBibTeX XMLCite \textit{N. H. Khanh} and \textit{A. J. Homburg}, Physica D 211, No. 3--4, 235--262 (2005; Zbl 1125.37307) Full Text: DOI
Muratov, Cyrill B.; Vanden-Eijnden, Eric; E, Weinan Self-induced stochastic resonance in excitable systems. (English) Zbl 1109.34040 Physica D 210, No. 3-4, 227-240 (2005). Reviewer: Henrikas Pragarauskas (Vilnius) MSC: 34F05 34C27 34D10 34E15 PDFBibTeX XMLCite \textit{C. B. Muratov} et al., Physica D 210, No. 3--4, 227--240 (2005; Zbl 1109.34040) Full Text: DOI
Mirollo, Renato E.; Strogatz, Steven H. The spectrum of the locked state for the Kuramoto model of coupled oscillators. (English) Zbl 1085.34033 Physica D 205, No. 1-4, 249-266 (2005). Reviewer: Sergiy Yanchuk (Berlin) MSC: 34C15 34C23 34C30 34D20 34C05 PDFBibTeX XMLCite \textit{R. E. Mirollo} and \textit{S. H. Strogatz}, Physica D 205, No. 1--4, 249--266 (2005; Zbl 1085.34033) Full Text: DOI
Chen, Gui-Qiang; Liu, Hailiang Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. (English) Zbl 1098.76603 Physica D 189, No. 1-2, 141-165 (2004). MSC: 76N15 35B25 35L67 35Q35 76L05 76M99 PDFBibTeX XMLCite \textit{G.-Q. Chen} and \textit{H. Liu}, Physica D 189, No. 1--2, 141--165 (2004; Zbl 1098.76603) Full Text: DOI
Champneys, A. R.; Kirk, V. The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities. (English) Zbl 1051.37023 Physica D 195, No. 1-2, 77-105 (2004). MSC: 37G20 34C23 34C37 37C29 PDFBibTeX XMLCite \textit{A. R. Champneys} and \textit{V. Kirk}, Physica D 195, No. 1--2, 77--105 (2004; Zbl 1051.37023) Full Text: DOI Link
Ercolani, Nick; Taylor, Michael The Dirichlet-to-Neumann map, viscosity solutions to eikonal equations, and the self-dual equations of pattern formation. (English) Zbl 1058.35018 Physica D 196, No. 3-4, 205-223 (2004). Reviewer: Ştefan Mirică (Bucureşti) MSC: 35B25 49L25 35B30 58J05 PDFBibTeX XMLCite \textit{N. Ercolani} and \textit{M. Taylor}, Physica D 196, No. 3--4, 205--223 (2004; Zbl 1058.35018) Full Text: DOI
Pisarchik, A. N.; Corbalán, R. Shift of attractor boundaries in a system with a slow harmonic parameter perturbation. (English) Zbl 0986.34035 Physica D 150, No. 1-2, 14-24 (2001). MSC: 34C23 37G10 34C28 34D45 34D10 PDFBibTeX XMLCite \textit{A. N. Pisarchik} and \textit{R. Corbalán}, Physica D 150, No. 1--2, 14--24 (2001; Zbl 0986.34035) Full Text: DOI
Manna, M. A. Asymptotic dynamics of monochromatic short surface wind waves. (English) Zbl 1011.76013 Physica D 149, No. 4, 231-236 (2001). MSC: 76B15 76M45 86A05 76B25 PDFBibTeX XMLCite \textit{M. A. Manna}, Physica D 149, No. 4, 231--236 (2001; Zbl 1011.76013) Full Text: DOI
Wei, Juncheng Pattern formations in two-dimensional Gray-Scott model: Existence of single-spot solutions and their stability. (English) Zbl 0981.35026 Physica D 148, No. 1-2, 20-48 (2001). Reviewer: Ibrahim Aganović (Zagreb) MSC: 35K57 35B25 35B35 35B10 35J40 35Q80 92E20 PDFBibTeX XMLCite \textit{J. Wei}, Physica D 148, No. 1--2, 20--48 (2001; Zbl 0981.35026) Full Text: DOI
Carr, Thomas W.; Billings, Lora; Schwartz, Ira B.; Triandaf, Ioanna Bi-instability and the global role of unstable resonant orbits in a driven laser. (English) Zbl 0976.34038 Physica D 147, No. 1-2, 59-82 (2000). MSC: 34C28 78A60 34C60 34D30 34C05 PDFBibTeX XMLCite \textit{T. W. Carr} et al., Physica D 147, No. 1--2, 59--82 (2000; Zbl 0976.34038) Full Text: DOI
Guckenheimer, John; Willms, Allan R. Asymptotic analysis of subcritical Hopf-homoclinic bifurcation. (English) Zbl 0954.34032 Physica D 139, No. 3-4, 195-216 (2000). MSC: 34C23 37G10 34C25 34C37 34E13 PDFBibTeX XMLCite \textit{J. Guckenheimer} and \textit{A. R. Willms}, Physica D 139, No. 3--4, 195--216 (2000; Zbl 0954.34032) Full Text: DOI
Morita, Yoshiihsa; Mimoto, Yoshiyuki Collision and collapse of layers in a 1D scalar reaction-diffusion equation. (English) Zbl 0980.35069 Physica D 140, No. 1-2, 151-170 (2000). MSC: 35K57 35B25 PDFBibTeX XMLCite \textit{Y. Morita} and \textit{Y. Mimoto}, Physica D 140, No. 1--2, 151--170 (2000; Zbl 0980.35069) Full Text: DOI
Bose, Amitabha; Kopell, Nancy; Terman, David Almost-synchronous solutions for mutually coupled excitatory neurons. (English) Zbl 0957.34040 Physica D 140, No. 1-2, 69-94 (2000). MSC: 34C15 92C20 34E20 34E05 34C25 PDFBibTeX XMLCite \textit{A. Bose} et al., Physica D 140, No. 1--2, 69--94 (2000; Zbl 0957.34040) Full Text: DOI
Champneys, A. R.; Rodríguez-Luis, A. J. The non-transverse Shil’nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies. (English) Zbl 0986.37041 Physica D 128, No. 2-4, 130-158 (1999). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37G20 37G15 34C37 34C23 37J40 70H08 37J25 PDFBibTeX XMLCite \textit{A. R. Champneys} and \textit{A. J. Rodríguez-Luis}, Physica D 128, No. 2--4, 130--158 (1999; Zbl 0986.37041) Full Text: DOI
Woods, P. D.; Champneys, A. R. Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation. (English) Zbl 0952.37009 Physica D 129, No. 3-4, 147-170 (1999). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37G20 34C23 37G05 37J20 70H05 PDFBibTeX XMLCite \textit{P. D. Woods} and \textit{A. R. Champneys}, Physica D 129, No. 3--4, 147--170 (1999; Zbl 0952.37009) Full Text: DOI
Barashenkov, I. V.; Zemlyanaya, E. V. Existence threshold for the ac-driven damped nonlinear Schrödinger solitons. (English) Zbl 0932.35187 Physica D 132, No. 3, 363-372 (1999). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{I. V. Barashenkov} and \textit{E. V. Zemlyanaya}, Physica D 132, No. 3, 363--372 (1999; Zbl 0932.35187) Full Text: DOI arXiv
Couairon, A.; Chomaz, J.-M. Primary and secondary nonlinear global instability. (English) Zbl 0944.76025 Physica D 132, No. 4, 428-456 (1999). MSC: 76E30 76M45 35Q35 35B35 PDFBibTeX XMLCite \textit{A. Couairon} and \textit{J. M. Chomaz}, Physica D 132, No. 4, 428--456 (1999; Zbl 0944.76025) Full Text: DOI
Rom-Kedar, Vered; Turaev, Dmitry Big islands in dispersing billiard-like potentials. (English) Zbl 0956.37028 Physica D 130, No. 3-4, 187-210 (1999). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37D50 37J40 34C37 82C05 PDFBibTeX XMLCite \textit{V. Rom-Kedar} and \textit{D. Turaev}, Physica D 130, No. 3--4, 187--210 (1999; Zbl 0956.37028) Full Text: DOI
Novokshenov, V. Yu.; Shagalov, A. G. Bound states of the elliptic sine-Gordon equation. (English) Zbl 0939.35172 Physica D 106, No. 1-2, 81-94 (1997). MSC: 35Q53 35J60 82D55 76A15 PDFBibTeX XMLCite \textit{V. Yu. Novokshenov} and \textit{A. G. Shagalov}, Physica D 106, No. 1--2, 81--94 (1997; Zbl 0939.35172) Full Text: DOI
Schamel, H.; Hassan, I. O. Two wave collapses and a strange soliton in current carrying plasmas. (English) Zbl 0962.76647 Physica D 105, No. 4, 253-266 (1997). MSC: 76X05 35Q51 82D10 PDFBibTeX XMLCite \textit{H. Schamel} and \textit{I. O. Hassan}, Physica D 105, No. 4, 253--266 (1997; Zbl 0962.76647) Full Text: DOI
Lega, Joceline; Fauve, Stephan Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons. (English) Zbl 0885.35122 Physica D 102, No. 3-4, 234-252 (1997). MSC: 35Q55 35B25 PDFBibTeX XMLCite \textit{J. Lega} and \textit{S. Fauve}, Physica D 102, No. 3--4, 234--252 (1997; Zbl 0885.35122) Full Text: DOI
Xie, Min; Othmer, Hans G.; Watanabe, Masaji Resonance in excitable systems under step-function forcing. II: Subharmonic solutions and persistence. (English) Zbl 0887.92014 Physica D 98, No. 1, 75-110 (1996). MSC: 92C30 34C15 92C05 34C05 37N99 PDFBibTeX XMLCite \textit{M. Xie} et al., Physica D 98, No. 1, 75--110 (1996; Zbl 0887.92014) Full Text: DOI
Vereschagin, Vadim L. Asymptotics of solutions of the discrete string equation. (English) Zbl 0893.39007 Physica D 95, No. 2-4, 268-282 (1996). MSC: 39A12 39A10 37J35 37K10 PDFBibTeX XMLCite \textit{V. L. Vereschagin}, Physica D 95, No. 2--4, 268--282 (1996; Zbl 0893.39007) Full Text: DOI arXiv
Camassa, Roberto On the geometry of an atmospheric slow manifold. (English) Zbl 0889.34042 Physica D 84, No. 3-4, 357-397 (1995). MSC: 34C45 86A10 34D45 34C37 34D10 PDFBibTeX XMLCite \textit{R. Camassa}, Physica D 84, No. 3--4, 357--397 (1995; Zbl 0889.34042) Full Text: DOI
Tin, Siu-Kei Transversality of double-pulse homoclinic orbits in the inviscid Lorenz-Krishnamurthy system. (English) Zbl 0889.34041 Physica D 83, No. 4, 383-408 (1995). MSC: 34C37 86A10 34C45 34E15 PDFBibTeX XMLCite \textit{S.-K. Tin}, Physica D 83, No. 4, 383--408 (1995; Zbl 0889.34041) Full Text: DOI
Majda, Andrew J.; Majda, George; Zheng, Yuxi Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case. (English) Zbl 0839.35104 Physica D 79, No. 1, 41-76 (1994). MSC: 35Q35 35D05 76X05 PDFBibTeX XMLCite \textit{A. J. Majda} et al., Physica D 79, No. 1, 41--76 (1994; Zbl 0839.35104) Full Text: DOI
Chapman, P. B. Towards a proof of the Kuzmak-Kogelman-Keller algorithm. (English) Zbl 0812.34058 Physica D 72, No. 3, 182-194 (1994). MSC: 34E05 34A45 34E20 PDFBibTeX XMLCite \textit{P. B. Chapman}, Physica D 72, No. 3, 182--194 (1994; Zbl 0812.34058) Full Text: DOI
Chapman, P. B. Kuzmak’s dynamics. (English) Zbl 0812.34057 Physica D 72, No. 3, 169-181 (1994). MSC: 34E05 34A45 34E20 PDFBibTeX XMLCite \textit{P. B. Chapman}, Physica D 72, No. 3, 169--181 (1994; Zbl 0812.34057) Full Text: DOI
Brewster, M. E. Stationary self-propagating fronts in potential flow. (English) Zbl 0889.34044 Physica D 79, No. 2-4, 306-319 (1994). MSC: 34D20 80A25 34A12 34C05 PDFBibTeX XMLCite \textit{M. E. Brewster}, Physica D 79, No. 2--4, 306--319 (1994; Zbl 0889.34044) Full Text: DOI
Klein, Rupert; Majda, Andrew J. Self-stretching of perturbed vortex filaments. II: Structure of solutions. (English) Zbl 0752.35068 Physica D 53, No. 2-4, 267-294 (1991). Reviewer: A.A.Papin (Barnaul) MSC: 35Q55 76F05 35Q30 35R20 76B47 76M45 76D10 81Q05 81Q15 PDFBibTeX XMLCite \textit{R. Klein} and \textit{A. J. Majda}, Physica D 53, No. 2--4, 267--294 (1991; Zbl 0752.35068) Full Text: DOI
Cariello, F.; Tabor, M. Similarity reductions from extended Painlevé expansions for nonintegrable evolution equations. (English) Zbl 0745.35046 Physica D 53, No. 1, 59-70 (1991). MSC: 35Q80 37-XX PDFBibTeX XMLCite \textit{F. Cariello} and \textit{M. Tabor}, Physica D 53, No. 1, 59--70 (1991; Zbl 0745.35046) Full Text: DOI
Poland, Douglas The effect of clustering on the Lotka-Volterra model. (English) Zbl 0671.34048 Physica D 35, No. 1-2, 148-166 (1989). MSC: 34D20 34C10 34C05 92D25 PDFBibTeX XMLCite \textit{D. Poland}, Physica D 35, No. 1--2, 148--166 (1989; Zbl 0671.34048) Full Text: DOI
Borisov, A. B.; Kisel’ev, V. V. Topological defects in incommensurate magnetic and crystal structures and quasi-periodic solutions of the elliptic sine-Gordon equation. (English) Zbl 0695.35198 Physica D 31, No. 1, 49-64 (1988). MSC: 35Q99 81T08 35B99 PDFBibTeX XMLCite \textit{A. B. Borisov} and \textit{V. V. Kisel'ev}, Physica D 31, No. 1, 49--64 (1988; Zbl 0695.35198) Full Text: DOI
Lim, Chjan C. Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices. (English) Zbl 0659.70015 Physica D 30, No. 3, 343-362 (1988). MSC: 70H05 70H15 37J99 PDFBibTeX XMLCite \textit{C. C. Lim}, Physica D 30, No. 3, 343--362 (1988; Zbl 0659.70015) Full Text: DOI Link
Kaas-Petersen, Christian; Scott, Stephen K. Homoclinic orbits in a simple chemical model of an autocatalytic reaction. (English) Zbl 0659.34044 Physica D 32, No. 3, 461-470 (1988). MSC: 34C25 34C05 PDFBibTeX XMLCite \textit{C. Kaas-Petersen} and \textit{S. K. Scott}, Physica D 32, No. 3, 461--470 (1988; Zbl 0659.34044) Full Text: DOI
Crawford, John David; Knobloch, Edgar Classification and unifolding of degenerate Hopf bifurcations with 0(2) symmetry: No distinguished parameter. (English) Zbl 0649.34050 Physica D 31, No. 1, 1-48 (1988). MSC: 34C25 34C05 PDFBibTeX XMLCite \textit{J. D. Crawford} and \textit{E. Knobloch}, Physica D 31, No. 1, 1--48 (1988; Zbl 0649.34050) Full Text: DOI
Bountis, Tassos; Papageorgiou, V.; Bier, M. On the singularity analysis of intersecting separatrices in near- integrable dynamical systems. (English) Zbl 0613.70023 Physica D 24, 292-304 (1987). MSC: 70K40 70H05 34E15 37-XX PDFBibTeX XMLCite \textit{T. Bountis} et al., Physica D 24, 292--304 (1987; Zbl 0613.70023) Full Text: DOI
Tracy, E. R.; Chin, C. H.; Chen, H. H. Real periodic solutions of the Liouville equation. (English) Zbl 0623.76124 Physica D 23, 91-101 (1986). MSC: 76W05 35Q99 PDFBibTeX XMLCite \textit{E. R. Tracy} et al., Physica D 23, 91--101 (1986; Zbl 0623.76124) Full Text: DOI
Guckenheimer, John Multiple bifurcation problems for chemical reactors. (English) Zbl 0593.34043 Physica D 20, 1-20 (1986). MSC: 34C25 34C05 92Exx PDFBibTeX XMLCite \textit{J. Guckenheimer}, Physica D 20, 1--20 (1986; Zbl 0593.34043) Full Text: DOI
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C. The discrete self-trapping equation. (English) Zbl 0583.34026 Physica D 16, 318-338 (1985). MSC: 34C05 92B05 PDFBibTeX XMLCite \textit{J. C. Eilbeck} et al., Physica D 16, 318--338 (1985; Zbl 0583.34026) Full Text: DOI
Grasman, J.; Nijmeijer, H.; Veling, E. J. M. Singular perturbations and a mapping on an interval for the forced van der Pol relaxation oscillator. (English) Zbl 0583.58017 Physica D 13, 195-210 (1984). Reviewer: Ch.Sharma MSC: 37D45 34C28 PDFBibTeX XMLCite \textit{J. Grasman} et al., Physica D 13, 195--210 (1984; Zbl 0583.58017) Full Text: DOI
Mikhaĭlov, A. S.; Krinskiĭ, V. I. Rotating spiral waves in excitable media: the analytical results. (English) Zbl 0587.92004 Physica D 9, 346-371 (1983). MSC: 92B05 35B25 35B35 35C05 PDFBibTeX XMLCite \textit{A. S. Mikhaĭlov} and \textit{V. I. Krinskiĭ}, Physica D 9, 346--371 (1983; Zbl 0587.92004) Full Text: DOI