Hsieh, Dai-Ni; Arguillère, Sylvain; Charon, Nicolas; Younes, Laurent Mechanistic modeling of longitudinal shape changes: equations of motion and inverse problems. (English) Zbl 1481.49045 SIAM J. Appl. Dyn. Syst. 21, No. 1, 80-101 (2022). MSC: 49Q10 49N45 49S05 74B20 PDFBibTeX XMLCite \textit{D.-N. Hsieh} et al., SIAM J. Appl. Dyn. Syst. 21, No. 1, 80--101 (2022; Zbl 1481.49045) Full Text: DOI arXiv
Cheesman, Noah; Kristiansen, Kristian Uldall; Hogan, S. J. Regularization of isolated codimension-2 discontinuity sets. (English) Zbl 1494.34073 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2630-2670 (2021). Reviewer: Dingheng Pi (Quanzhou) MSC: 34A36 34E15 74H35 70F40 PDFBibTeX XMLCite \textit{N. Cheesman} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2630--2670 (2021; Zbl 1494.34073) Full Text: DOI arXiv
Berchio, Elvise; Falocchi, Alessio; Garrione, Maurizio On the stability of a nonlinear nonhomogeneous multiply hinged beam. (English) Zbl 1473.74068 SIAM J. Appl. Dyn. Syst. 20, No. 2, 908-940 (2021). MSC: 74H55 74K10 74E05 PDFBibTeX XMLCite \textit{E. Berchio} et al., SIAM J. Appl. Dyn. Syst. 20, No. 2, 908--940 (2021; Zbl 1473.74068) Full Text: DOI arXiv
Guardia, Daniel Balagué; Barbaro, Alethea; Carrillo, Jose A.; Volkin, Robert Analysis of spherical shell solutions for the radially symmetric aggregation equation. (English) Zbl 1472.35400 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628-2657 (2020). Reviewer: Andrea Tellini (Madrid) MSC: 35Q92 35F25 35Q70 74K25 92C17 PDFBibTeX XMLCite \textit{D. B. Guardia} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628--2657 (2020; Zbl 1472.35400) Full Text: DOI
García-Azpeitia, Carlos; Lessard, Jean-Philippe Free vibrations in a wave equation modeling MEMS. (English) Zbl 1477.35014 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2749-2782 (2020). Reviewer: Alois Steindl (Wien) MSC: 35B10 35B32 37M20 37N15 74H45 35L72 35L20 PDFBibTeX XMLCite \textit{C. García-Azpeitia} and \textit{J.-P. Lessard}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2749--2782 (2020; Zbl 1477.35014) Full Text: DOI arXiv
Barker, Blake; James, Jason Mireles; Morgan, Jalen Parameterization method for unstable manifolds of standing waves on the line. (English) Zbl 1473.74075 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1758-1797 (2020). MSC: 74J30 74H10 74H55 PDFBibTeX XMLCite \textit{B. Barker} et al., SIAM J. Appl. Dyn. Syst. 19, No. 3, 1758--1797 (2020; Zbl 1473.74075) Full Text: DOI
Laurière, Mathieu; Mertz, Laurent Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities. (English) Zbl 1455.60087 SIAM J. Appl. Dyn. Syst. 18, No. 2, 853-880 (2019). MSC: 60H30 74H50 60H40 PDFBibTeX XMLCite \textit{M. Laurière} and \textit{L. Mertz}, SIAM J. Appl. Dyn. Syst. 18, No. 2, 853--880 (2019; Zbl 1455.60087) Full Text: DOI arXiv
Pnueli, Michal; Rom-Kedar, Vered On near integrability of some impact systems. (English) Zbl 1405.37067 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2707-2732 (2018). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 37J25 70H07 70H08 70H09 74M20 PDFBibTeX XMLCite \textit{M. Pnueli} and \textit{V. Rom-Kedar}, SIAM J. Appl. Dyn. Syst. 17, No. 4, 2707--2732 (2018; Zbl 1405.37067) Full Text: DOI arXiv
Thavanayagam, Ealasukanthan; Wall, David J. N. Modeling of spatial dynamical silence in the macro arterial domain. (English) Zbl 1408.37149 SIAM J. Appl. Dyn. Syst. 17, No. 3, 2176-2204 (2018). MSC: 37N25 37M05 74Q10 PDFBibTeX XMLCite \textit{E. Thavanayagam} and \textit{D. J. N. Wall}, SIAM J. Appl. Dyn. Syst. 17, No. 3, 2176--2204 (2018; Zbl 1408.37149) Full Text: DOI
Lu, Jiajun; Baginski, Frank; Ren, Xiaofeng Equilibrium configurations of boundary droplets in a self-organizing inhibitory system. (English) Zbl 1391.74016 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1353-1376 (2018). MSC: 74A50 74G15 35Q74 74S05 35R35 82B24 82D60 PDFBibTeX XMLCite \textit{J. Lu} et al., SIAM J. Appl. Dyn. Syst. 17, No. 2, 1353--1376 (2018; Zbl 1391.74016) Full Text: DOI
Yoshimura, Kazuyuki Existence and stability of odd and even parity discrete breathers in Fermi-Pasta-Ulam lattices. (English) Zbl 1391.70053 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2063-2095 (2017). MSC: 70H12 70H14 34A33 34C25 74J30 PDFBibTeX XMLCite \textit{K. Yoshimura}, SIAM J. Appl. Dyn. Syst. 16, No. 4, 2063--2095 (2017; Zbl 1391.70053) Full Text: DOI
Lee, Min-Gi; Tzavaras, Athanasios Existence of localizing solutions in plasticity via geometric singular perturbation theory. (English) Zbl 1434.35221 SIAM J. Appl. Dyn. Syst. 16, No. 1, 337-360 (2017). MSC: 35Q74 34C37 34C45 35M31 37C29 74C20 PDFBibTeX XMLCite \textit{M.-G. Lee} and \textit{A. Tzavaras}, SIAM J. Appl. Dyn. Syst. 16, No. 1, 337--360 (2017; Zbl 1434.35221) Full Text: DOI arXiv
Sander, Evelyn; Wanner, Thomas Validated saddle-node bifurcations and applications to lattice dynamical systems. (English) Zbl 1414.35115 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1690-1733 (2016). MSC: 35K55 35B40 35B41 37K60 68T15 74N99 PDFBibTeX XMLCite \textit{E. Sander} and \textit{T. Wanner}, SIAM J. Appl. Dyn. Syst. 15, No. 3, 1690--1733 (2016; Zbl 1414.35115) Full Text: DOI
Shoshani, O.; Shaw, S. W. Generalized parametric resonance. (English) Zbl 1359.37146 SIAM J. Appl. Dyn. Syst. 15, No. 2, 767-788 (2016). MSC: 37N15 34B30 70K28 74H45 34A45 PDFBibTeX XMLCite \textit{O. Shoshani} and \textit{S. W. Shaw}, SIAM J. Appl. Dyn. Syst. 15, No. 2, 767--788 (2016; Zbl 1359.37146) Full Text: DOI
Blömker, Dirk; Sander, Evelyn; Wanner, Thomas Degenerate nucleation in the Cahn-Hilliard-Cook model. (English) Zbl 1439.35583 SIAM J. Appl. Dyn. Syst. 15, No. 1, 459-494 (2016). MSC: 35R60 35B40 35B41 35K55 60F10 60H15 74N99 PDFBibTeX XMLCite \textit{D. Blömker} et al., SIAM J. Appl. Dyn. Syst. 15, No. 1, 459--494 (2016; Zbl 1439.35583) Full Text: DOI
Berchio, Elvise; Gazzola, Filippo; Zanini, Chiara Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? (English) Zbl 1359.37055 SIAM J. Appl. Dyn. Syst. 15, No. 1, 338-355 (2016). MSC: 37C75 34C15 34B30 34D20 74H55 37J25 PDFBibTeX XMLCite \textit{E. Berchio} et al., SIAM J. Appl. Dyn. Syst. 15, No. 1, 338--355 (2016; Zbl 1359.37055) Full Text: DOI arXiv
Burger, Martin; Fetecau, Razvan; Huang, Yanghong Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. (English) Zbl 1302.35386 SIAM J. Appl. Dyn. Syst. 13, No. 1, 397-424 (2014). MSC: 35R09 35B40 74G55 74G65 PDFBibTeX XMLCite \textit{M. Burger} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 397--424 (2014; Zbl 1302.35386) Full Text: DOI arXiv
Kan, Xingye; Duan, Jinqiao; Kevrekidis, Ioannis G.; Roberts, Anthony J. Simulating stochastic inertial manifolds by a backward-forward approach. (English) Zbl 1286.37055 SIAM J. Appl. Dyn. Syst. 12, No. 1, 487-514 (2013). Reviewer: Arne Ogrowsky (München) MSC: 37H99 60H15 35B42 74H15 PDFBibTeX XMLCite \textit{X. Kan} et al., SIAM J. Appl. Dyn. Syst. 12, No. 1, 487--514 (2013; Zbl 1286.37055) Full Text: DOI arXiv
Munnier, Alexandre Passive and self-propelled locomotion of an elastic swimmer in a perfect fluid. (English) Zbl 1353.74029 SIAM J. Appl. Dyn. Syst. 10, No. 4, 1363-1403 (2011). MSC: 74F10 76Z10 76B99 PDFBibTeX XMLCite \textit{A. Munnier}, SIAM J. Appl. Dyn. Syst. 10, No. 4, 1363--1403 (2011; Zbl 1353.74029) Full Text: DOI Link
Desi, Jonathan P.; Edrees, Hanein H.; Price, Joseph J.; Sander, Evelyn; Wanner, Thomas The dynamics of nucleation in stochastic Cahn-Morral systems. (English) Zbl 1367.74041 SIAM J. Appl. Dyn. Syst. 10, No. 2, 707-743 (2011). MSC: 74N20 74S60 PDFBibTeX XMLCite \textit{J. P. Desi} et al., SIAM J. Appl. Dyn. Syst. 10, No. 2, 707--743 (2011; Zbl 1367.74041) Full Text: DOI
Guo, Yujin Dynamical solutions of singular wave equations modeling electrostatic MEMS. (English) Zbl 1203.35177 SIAM J. Appl. Dyn. Syst. 9, No. 4, 1135-1163 (2010). MSC: 35L81 35B40 35B44 35Q92 74K20 PDFBibTeX XMLCite \textit{Y. Guo}, SIAM J. Appl. Dyn. Syst. 9, No. 4, 1135--1163 (2010; Zbl 1203.35177) Full Text: DOI
Germay, Christophe; van de Wouw, Nathan; Nijmeijer, Henk; Sepulchre, Rodolphe Nonlinear drillstring dynamics analysis. (English) Zbl 1182.74084 SIAM J. Appl. Dyn. Syst. 8, No. 2, 527-553 (2009). Reviewer: Olivian Simionescu (Bucureşti) MSC: 74H45 74H10 PDFBibTeX XMLCite \textit{C. Germay} et al., SIAM J. Appl. Dyn. Syst. 8, No. 2, 527--553 (2009; Zbl 1182.74084) Full Text: DOI Link
Porfiri, Maurizio; Pigliacampo, Roberta Master-slave global stochastic synchronization of chaotic oscillators. (English) Zbl 1167.34329 SIAM J. Appl. Dyn. Syst. 7, No. 3, 825-842 (2008). MSC: 34C15 34D23 74H65 93C10 93E15 34C28 34F05 34D05 PDFBibTeX XMLCite \textit{M. Porfiri} and \textit{R. Pigliacampo}, SIAM J. Appl. Dyn. Syst. 7, No. 3, 825--842 (2008; Zbl 1167.34329) Full Text: DOI Link
Winterbottom, D. M.; Cox, S. M.; Matthews, P. C. Pattern formation in a model of a vibrated granular layer. (English) Zbl 1159.76388 SIAM J. Appl. Dyn. Syst. 7, No. 1, 63-78 (2008). MSC: 76T25 74J30 PDFBibTeX XMLCite \textit{D. M. Winterbottom} et al., SIAM J. Appl. Dyn. Syst. 7, No. 1, 63--78 (2008; Zbl 1159.76388) Full Text: DOI
Mehta, Prashant G.; Hagen, Gregory; Banaszuk, Andrzej Symmetry and symmetry-breaking for a wave equation with feedback. (English) Zbl 1210.74091 SIAM J. Appl. Dyn. Syst. 6, No. 3, 549-575 (2007). MSC: 74H60 PDFBibTeX XMLCite \textit{P. G. Mehta} et al., SIAM J. Appl. Dyn. Syst. 6, No. 3, 549--575 (2007; Zbl 1210.74091) Full Text: DOI
Xu, Jian; Chung, Kwok-Wai; Chan, Chuen-Lit An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. (English) Zbl 1210.34086 SIAM J. Appl. Dyn. Syst. 6, No. 1, 29-60 (2007). MSC: 34K06 37H20 70K30 74G10 93B52 PDFBibTeX XMLCite \textit{J. Xu} et al., SIAM J. Appl. Dyn. Syst. 6, No. 1, 29--60 (2007; Zbl 1210.34086) Full Text: DOI Link
Wheeler, Paul; Barkley, Dwight Computation of spiral spectra. (English) Zbl 1093.35014 SIAM J. Appl. Dyn. Syst. 5, No. 1, 157-177 (2006). MSC: 35B30 35K57 74J30 92C99 35P20 PDFBibTeX XMLCite \textit{P. Wheeler} and \textit{D. Barkley}, SIAM J. Appl. Dyn. Syst. 5, No. 1, 157--177 (2006; Zbl 1093.35014) Full Text: DOI arXiv
Goodman, Roy H.; Haberman, Richard Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. (English) Zbl 1145.74370 SIAM J. Appl. Dyn. Syst. 4, No. 4, 1195-1228 (2005). MSC: 74J30 35Q51 35Q72 37D05 70K44 PDFBibTeX XMLCite \textit{R. H. Goodman} and \textit{R. Haberman}, SIAM J. Appl. Dyn. Syst. 4, No. 4, 1195--1228 (2005; Zbl 1145.74370) Full Text: DOI
Derks, Gianne; Gottwald, Georg A. A robust numerical method to study oscillatory instability of gap solitary waves. (English) Zbl 1062.65138 SIAM J. Appl. Dyn. Syst. 4, No. 1, 140-158 (2005). MSC: 65P30 65P40 37M20 74J35 37K45 37K40 PDFBibTeX XMLCite \textit{G. Derks} and \textit{G. A. Gottwald}, SIAM J. Appl. Dyn. Syst. 4, No. 1, 140--158 (2005; Zbl 1062.65138) Full Text: DOI arXiv Link
Canic, Suncica; Mikelic, Andro Effective equations modeling the flow of a viscous incompressible fluid through a long elastic tube arising in the study of blood flow through small arteries. (English) Zbl 1088.76077 SIAM J. Appl. Dyn. Syst. 2, No. 3, 431-463 (2003). MSC: 76Z05 76D07 76M45 92C10 74F10 PDFBibTeX XMLCite \textit{S. Canic} and \textit{A. Mikelic}, SIAM J. Appl. Dyn. Syst. 2, No. 3, 431--463 (2003; Zbl 1088.76077) Full Text: DOI
Bou-Rabee, Nawaf M.; Romero, Louis A.; Salinger, Andrew G. A multiparameter, numerical stability analysis of a standing cantilever conveying fluid. (English) Zbl 1140.74448 SIAM J. Appl. Dyn. Syst. 1, No. 2, 190-214 (2002). MSC: 74G60 65P30 74F10 74S30 PDFBibTeX XMLCite \textit{N. M. Bou-Rabee} et al., SIAM J. Appl. Dyn. Syst. 1, No. 2, 190--214 (2002; Zbl 1140.74448) Full Text: DOI
Hoffman, Kathleen A.; Manning, Robert S.; Paffenroth, Randy C. Calculation of the stability index in parameter-dependent calculus of variations problems: Buckling of a twisted elastic strut. (English) Zbl 1008.49013 SIAM J. Appl. Dyn. Syst. 1, No. 1, 115-145 (2002). MSC: 49K15 74K10 34B08 74G60 65P30 65L10 PDFBibTeX XMLCite \textit{K. A. Hoffman} et al., SIAM J. Appl. Dyn. Syst. 1, No. 1, 115--145 (2002; Zbl 1008.49013) Full Text: DOI