Foxall, Eric; Edwards, Roderick; Ibrahim, Slim; van den Driessche, P. A contraction argument for two-dimensional spiking neuron models. (English) Zbl 1243.37065 SIAM J. Appl. Dyn. Syst. 11, No. 1, 540-566 (2012). Reviewer: Carlo Laing (Auckland) MSC: 37N25 92C20 34C15 34A37 PDF BibTeX XML Cite \textit{E. Foxall} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 540--566 (2012; Zbl 1243.37065) Full Text: DOI
Schwemmer, Michael A.; Lewis, Timothy J. Bistability in a leaky integrate-and-fire neuron with a passive dendrite. (English) Zbl 1235.92015 SIAM J. Appl. Dyn. Syst. 11, No. 1, 507-539 (2012). MSC: 92C20 37N25 34C60 34C23 PDF BibTeX XML Cite \textit{M. A. Schwemmer} and \textit{T. J. Lewis}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 507--539 (2012; Zbl 1235.92015) Full Text: DOI
Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. Polychromatic solitary waves in a periodic and nonlinear Maxwell system. (English) Zbl 1251.78010 SIAM J. Appl. Dyn. Syst. 11, No. 1, 478-506 (2012). Reviewer: Valeria Ricci (Rome) MSC: 78A60 37K40 65L07 35Q60 35Q55 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 478--506 (2012; Zbl 1251.78010) Full Text: DOI
Schlömer, Nico; Avitabile, Daniele; Vanroose, Wim Numerical bifurcation study of superconducting patterns on a square. (English) Zbl 1253.82125 SIAM J. Appl. Dyn. Syst. 11, No. 1, 447-477 (2012). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D55 35Q56 81R40 65F22 PDF BibTeX XML Cite \textit{N. Schlömer} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 447--477 (2012; Zbl 1253.82125) Full Text: DOI arXiv
Lerman, L.; Rom-Kedar, V. A saddle in a corner – a model of collinear triatomic chemical reactions. (English) Zbl 1368.70030 SIAM J. Appl. Dyn. Syst. 11, No. 1, 416-446 (2012). MSC: 70H07 37J45 70F35 80A32 92E20 PDF BibTeX XML Cite \textit{L. Lerman} and \textit{V. Rom-Kedar}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 416--446 (2012; Zbl 1368.70030) Full Text: DOI
De Smet, F.; Aeyels, D. Clustering conditions and the cluster formation process in a dynamical model of multidimensional attracting agents. (English) Zbl 1248.34074 SIAM J. Appl. Dyn. Syst. 11, No. 1, 392-415 (2012). Reviewer: Leonhard Lücken (Berlin) MSC: 34D05 34D06 91C20 PDF BibTeX XML Cite \textit{F. De Smet} and \textit{D. Aeyels}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 392--415 (2012; Zbl 1248.34074) Full Text: DOI
Shaw, Kendrick M.; Park, Young-Min; Chiel, Hillel J.; Thomas, Peter J. Phase resetting in an asymptotically phaseless system: on the phase response of limit cycles verging on a heteroclinic orbit. (English) Zbl 1242.34088 SIAM J. Appl. Dyn. Syst. 11, No. 1, 350-391 (2012). MSC: 34C60 34C05 34C37 34C23 92C20 PDF BibTeX XML Cite \textit{K. M. Shaw} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 350--391 (2012; Zbl 1242.34088) Full Text: DOI arXiv
Dullin, H. R.; Meiss, J. D. Resonances and twist in volume-preserving mappings. (English) Zbl 1235.37017 SIAM J. Appl. Dyn. Syst. 11, No. 1, 319-349 (2012). MSC: 37J10 70K43 70K70 PDF BibTeX XML Cite \textit{H. R. Dullin} and \textit{J. D. Meiss}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 319--349 (2012; Zbl 1235.37017) Full Text: DOI
Capiński, Maciej J.; Roldán, Pablo Existence of a center manifold in a practical domain around \(L_1\) in the restricted three-body problem. (English) Zbl 1235.37028 SIAM J. Appl. Dyn. Syst. 11, No. 1, 285-318 (2012). MSC: 37N05 37D10 34C20 34C45 70F07 70F15 70K45 PDF BibTeX XML Cite \textit{M. J. Capiński} and \textit{P. Roldán}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 285--318 (2012; Zbl 1235.37028) Full Text: DOI
Burke, John; Dawes, Jonathan H. P. Localized states in an extended Swift-Hohenberg equation. (English) Zbl 1242.35047 SIAM J. Appl. Dyn. Syst. 11, No. 1, 261-284 (2012). MSC: 35B36 35B32 37G05 37L10 PDF BibTeX XML Cite \textit{J. Burke} and \textit{J. H. P. Dawes}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 261--284 (2012; Zbl 1242.35047) Full Text: DOI
Baraviera, A. T.; Leplaideur, R.; Lopes, A. O. Selection of ground states in the zero temperature limit for a one-parameter family of potentials. (English) Zbl 1246.37014 SIAM J. Appl. Dyn. Syst. 11, No. 1, 243-260 (2012). MSC: 37A35 37A60 37D20 37D35 PDF BibTeX XML Cite \textit{A. T. Baraviera} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 243--260 (2012; Zbl 1246.37014) Full Text: DOI
Diniz Behn, Cecilia G.; Booth, Victoria A fast-slow analysis of the dynamics of REM sleep. (English) Zbl 1242.34085 SIAM J. Appl. Dyn. Syst. 11, No. 1, 212-242 (2012). MSC: 34C60 34C23 34C55 92C20 92B20 34E15 34E13 34C05 PDF BibTeX XML Cite \textit{C. G. Diniz Behn} and \textit{V. Booth}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 212--242 (2012; Zbl 1242.34085) Full Text: DOI
Freire, Emilio; Ponce, Enrique; Torres, Francisco Canonical discontinuous planar piecewise linear systems. (English) Zbl 1242.34020 SIAM J. Appl. Dyn. Syst. 11, No. 1, 181-211 (2012). MSC: 34A36 34C05 34C20 34C23 PDF BibTeX XML Cite \textit{E. Freire} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 181--211 (2012; Zbl 1242.34020) Full Text: DOI
Rotstein, Horacio G.; Coombes, Stephen; Gheorghe, Ana Maria Canard-like explosion of limit cycles in two-dimensional piecewise-linear models of Fitzhugh-Nagumo type. (English) Zbl 1266.92043 SIAM J. Appl. Dyn. Syst. 11, No. 1, 135-180 (2012). MSC: 92C20 92B25 34C60 34C05 PDF BibTeX XML Cite \textit{H. G. Rotstein} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 135--180 (2012; Zbl 1266.92043) Full Text: DOI
Conradi, Carsten; Flockerzi, Dietrich Switching in mass action networks based on linear inequalities. (English) Zbl 1235.37034 SIAM J. Appl. Dyn. Syst. 11, No. 1, 110-134 (2012). MSC: 37N25 92C42 PDF BibTeX XML Cite \textit{C. Conradi} and \textit{D. Flockerzi}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 110--134 (2012; Zbl 1235.37034) Full Text: DOI
Frongillo, Rafael; Treviño, Rodrigo Efficient automation of index pairs in computational Conley index theory. (English) Zbl 1243.37015 SIAM J. Appl. Dyn. Syst. 11, No. 1, 82-109 (2012). Reviewer: Michael Farber (Zürich) MSC: 37B30 37B40 PDF BibTeX XML Cite \textit{R. Frongillo} and \textit{R. Treviño}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 82--109 (2012; Zbl 1243.37015) Full Text: DOI
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier Noise-induced behaviors in neural mean field dynamics. (English) Zbl 1235.92016 SIAM J. Appl. Dyn. Syst. 11, No. 1, 49-81 (2012). MSC: 92C20 92C42 60K99 34C60 65C20 PDF BibTeX XML Cite \textit{J. Touboul} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 49--81 (2012; Zbl 1235.92016) Full Text: DOI arXiv
Veliz-Cuba, Alan An algebraic approach to reverse engineering finite dynamical systems arising from biology. (English) Zbl 1235.92005 SIAM J. Appl. Dyn. Syst. 11, No. 1, 31-48 (2012). MSC: 92B05 37N25 92-08 PDF BibTeX XML Cite \textit{A. Veliz-Cuba}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 31--48 (2012; Zbl 1235.92005) Full Text: DOI
Penati, Tiziano; Paleari, Simone Breathers and Q-breathers: two sides of the same coin. (English) Zbl 1402.39005 SIAM J. Appl. Dyn. Syst. 11, No. 1, 1-30 (2012). MSC: 39A12 34C25 34A33 65L99 65Q10 34B30 PDF BibTeX XML Cite \textit{T. Penati} and \textit{S. Paleari}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 1--30 (2012; Zbl 1402.39005) Full Text: DOI