Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M. Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. (English) Zbl 1187.34056 SIAM J. Appl. Dyn. Syst. 8, No. 3, 1261-1304 (2009). Reviewer: Weinian Zhang (Sichuan) MSC: 34C37 34C23 37C29 37G20 34C45 PDFBibTeX XMLCite \textit{A. R. Champneys} et al., SIAM J. Appl. Dyn. Syst. 8, No. 3, 1261--1304 (2009; Zbl 1187.34056) Full Text: DOI
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James When Shil’nikov meets Hopf in excitable systems. (English) Zbl 1170.34025 SIAM J. Appl. Dyn. Syst. 6, No. 4, 663-693 (2007). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C15 34C23 34C37 35B32 37G10 37G15 PDFBibTeX XMLCite \textit{A. R. Champneys} et al., SIAM J. Appl. Dyn. Syst. 6, No. 4, 663--693 (2007; Zbl 1170.34025) 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