Hampton, Amanda E.; Meiss, James D. Connecting anti-integrability to attractors for three-dimensional quadratic diffeomorphisms. (English) Zbl 07818646 SIAM J. Appl. Dyn. Syst. 23, No. 1, 616-640 (2024). MSC: 37C05 37D45 39A33 37C70 37B10 PDFBibTeX XMLCite \textit{A. E. Hampton} and \textit{J. D. Meiss}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 616--640 (2024; Zbl 07818646) Full Text: DOI arXiv
Rodrigues, Alexandre A. P.; Castro, Luisa Abundance of infinite switching. (English) Zbl 1527.37024 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2570-2600 (2023). MSC: 37C29 37C70 34C37 37D45 37G35 PDFBibTeX XMLCite \textit{A. A. P. Rodrigues} and \textit{L. Castro}, SIAM J. Appl. Dyn. Syst. 22, No. 3, 2570--2600 (2023; Zbl 1527.37024) Full Text: DOI arXiv
Chandramoorthy, Nisha; Wang, Qiqi Efficient computation of linear response of chaotic attractors with one-dimensional unstable manifolds. (English) Zbl 1497.37103 SIAM J. Appl. Dyn. Syst. 21, No. 2, 735-781 (2022). MSC: 37M22 37D20 37C30 37D45 34C28 49Q12 PDFBibTeX XMLCite \textit{N. Chandramoorthy} and \textit{Q. Wang}, SIAM J. Appl. Dyn. Syst. 21, No. 2, 735--781 (2022; Zbl 1497.37103) Full Text: DOI arXiv
Rodrigues, Alexandre A. P. Abundance of strange attractors near an attracting periodically perturbed network. (English) Zbl 1476.37059 SIAM J. Appl. Dyn. Syst. 20, No. 1, 541-570 (2021). MSC: 37D45 37C70 37D05 37G35 PDFBibTeX XMLCite \textit{A. A. P. Rodrigues}, SIAM J. Appl. Dyn. Syst. 20, No. 1, 541--570 (2021; Zbl 1476.37059) Full Text: DOI arXiv
Rakshit, Sarbendu; Bera, Bidesh K.; Bollt, Erik M.; Ghosh, Dibakar Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. (English) Zbl 1441.37093 SIAM J. Appl. Dyn. Syst. 19, No. 2, 918-963 (2020). MSC: 37M99 37N30 37D45 93D05 93D20 34D06 PDFBibTeX XMLCite \textit{S. Rakshit} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 918--963 (2020; Zbl 1441.37093) Full Text: DOI
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. (English) Zbl 1408.37087 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784-2829 (2018). MSC: 37G20 37C29 37M20 34C45 34C23 37D45 PDFBibTeX XMLCite \textit{A. Giraldo} et al., SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784--2829 (2018; Zbl 1408.37087) Full Text: DOI
Das, Suddhasattwa; Yorke, James A. Multichaos from quasiperiodicity. (English) Zbl 1381.37015 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2196-2212 (2017). MSC: 37B05 37D30 37D45 PDFBibTeX XMLCite \textit{S. Das} and \textit{J. A. Yorke}, SIAM J. Appl. Dyn. Syst. 16, No. 4, 2196--2212 (2017; Zbl 1381.37015) Full Text: DOI arXiv
Creaser, Jennifer L.; Krauskopf, Bernd; Osinga, Hinke M. Finding first foliation tangencies in the Lorenz system. (English) Zbl 1381.37097 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2127-2164 (2017). MSC: 37M20 37D10 37D45 37C29 65L10 65P30 PDFBibTeX XMLCite \textit{J. L. Creaser} et al., SIAM J. Appl. Dyn. Syst. 16, No. 4, 2127--2164 (2017; Zbl 1381.37097) Full Text: DOI
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Saddle invariant objects and their global manifolds in a neighborhood of a homoclinic flip bifurcation of case B. (English) Zbl 1385.37028 SIAM J. Appl. Dyn. Syst. 16, No. 1, 640-686 (2017). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C29 37M20 37G25 34C23 37D45 37C15 37D10 37G20 PDFBibTeX XMLCite \textit{A. Giraldo} et al., SIAM J. Appl. Dyn. Syst. 16, No. 1, 640--686 (2017; Zbl 1385.37028) Full Text: DOI
Dellnitz, Michael; Klus, Stefan; Ziessler, Adrian A set-oriented numerical approach for dynamical systems with parameter uncertainty. (English) Zbl 1357.65308 SIAM J. Appl. Dyn. Syst. 16, No. 1, 120-138 (2017). MSC: 65P20 37D45 37M15 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., SIAM J. Appl. Dyn. Syst. 16, No. 1, 120--138 (2017; Zbl 1357.65308) Full Text: DOI arXiv
Mohapatra, Anushaya; Ott, William Homoclinic loops, heteroclinic cycles, and rank one dynamics. (English) Zbl 1376.37058 SIAM J. Appl. Dyn. Syst. 14, No. 1, 107-131 (2015). MSC: 37C29 37C40 37D25 37D45 37G20 37G35 PDFBibTeX XMLCite \textit{A. Mohapatra} and \textit{W. Ott}, SIAM J. Appl. Dyn. Syst. 14, No. 1, 107--131 (2015; Zbl 1376.37058) Full Text: DOI Link
Christov, Ivan C.; Lueptow, Richard M.; Ottino, Julio M.; Sturman, Rob A study in three-dimensional chaotic dynamics: granular flow and transport in a bi-axial spherical tumbler. (English) Zbl 1348.37056 SIAM J. Appl. Dyn. Syst. 13, No. 2, 901-943 (2014). MSC: 37D45 34C28 37J40 70H08 76T25 PDFBibTeX XMLCite \textit{I. C. Christov} et al., SIAM J. Appl. Dyn. Syst. 13, No. 2, 901--943 (2014; Zbl 1348.37056) Full Text: DOI arXiv Link
Luque, Alejandro; Peralta-Salas, Daniel Motion of charged particles in ABC magnetic fields. (English) Zbl 1284.34080 SIAM J. Appl. Dyn. Syst. 12, No. 4, 1889-1947 (2013). MSC: 34C60 34C20 37J30 37J40 37D45 78A35 34C23 34C28 34D20 PDFBibTeX XMLCite \textit{A. Luque} and \textit{D. Peralta-Salas}, SIAM J. Appl. Dyn. Syst. 12, No. 4, 1889--1947 (2013; Zbl 1284.34080) Full Text: DOI arXiv
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M. Global invariant manifolds near homoclinic orbits to a real saddle: (non)orientability and flip bifurcation. (English) Zbl 1284.34069 SIAM J. Appl. Dyn. Syst. 12, No. 4, 1803-1846 (2013). MSC: 34C37 34C45 37D45 34C23 37M99 PDFBibTeX XMLCite \textit{P. Aguirre} et al., SIAM J. Appl. Dyn. Syst. 12, No. 4, 1803--1846 (2013; Zbl 1284.34069) Full Text: DOI Link
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M. Interacting global invariant sets in a planar map model of wild chaos. (English) Zbl 1304.37023 SIAM J. Appl. Dyn. Syst. 12, No. 3, 1280-1329 (2013). Reviewer: Yuriy V. Rogovchenko (Kristiansand) MSC: 37D45 37G20 37C29 37C70 PDFBibTeX XMLCite \textit{S. Hittmeyer} et al., SIAM J. Appl. Dyn. Syst. 12, No. 3, 1280--1329 (2013; Zbl 1304.37023) Full Text: DOI
Liz, Eduardo; Ruiz-Herrera, Alfonso Chaos in discrete structured population models. (English) Zbl 1260.37021 SIAM J. Appl. Dyn. Syst. 11, No. 4, 1200-1214 (2012). Reviewer: Angela Slavova (Sofia) MSC: 37D45 37N25 39A33 92D25 PDFBibTeX XMLCite \textit{E. Liz} and \textit{A. Ruiz-Herrera}, SIAM J. Appl. Dyn. Syst. 11, No. 4, 1200--1214 (2012; Zbl 1260.37021) Full Text: DOI Link
Figueras, Jordi-Lluís; Haro, Àlex Reliable computation of robust response tori on the verge of breakdown. (English) Zbl 1253.37077 SIAM J. Appl. Dyn. Syst. 11, No. 2, 597-628 (2012). MSC: 37M20 37C55 37D10 65P99 PDFBibTeX XMLCite \textit{J.-L. Figueras} and \textit{À. Haro}, SIAM J. Appl. Dyn. Syst. 11, No. 2, 597--628 (2012; Zbl 1253.37077) Full Text: DOI Link
Goldsztejn, Alexandre; Hayes, Wayne; Collins, Pieter Tinkerbell is chaotic. (English) Zbl 1235.37027 SIAM J. Appl. Dyn. Syst. 10, No. 4, 1480-1501 (2011). MSC: 37M99 65G20 65G30 37D45 PDFBibTeX XMLCite \textit{A. Goldsztejn} et al., SIAM J. Appl. Dyn. Syst. 10, No. 4, 1480--1501 (2011; Zbl 1235.37027) Full Text: DOI Link
Colombo, Alessandro; Jeffrey, Mike R. Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. (English) Zbl 1227.34044 SIAM J. Appl. Dyn. Syst. 10, No. 2, 423-451 (2011). MSC: 34C28 34C23 37G10 37G35 34A36 37D45 PDFBibTeX XMLCite \textit{A. Colombo} and \textit{M. R. Jeffrey}, SIAM J. Appl. Dyn. Syst. 10, No. 2, 423--451 (2011; Zbl 1227.34044) Full Text: DOI Link
Wilczak, Daniel Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system. (English) Zbl 1213.37046 SIAM J. Appl. Dyn. Syst. 9, No. 4, 1263-1283 (2010). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37D05 34D45 37D45 37-04 PDFBibTeX XMLCite \textit{D. Wilczak}, SIAM J. Appl. Dyn. Syst. 9, No. 4, 1263--1283 (2010; Zbl 1213.37046) Full Text: DOI arXiv
Mireles James, J. D. Adaptive set-oriented computation of topological horseshoe factors in area and volume preserving maps. (English) Zbl 1201.65217 SIAM J. Appl. Dyn. Syst. 9, No. 4, 1164-1200 (2010). MSC: 65P20 65G20 37B10 37B30 37C05 37C29 37C50 37D45 PDFBibTeX XMLCite \textit{J. D. Mireles James}, SIAM J. Appl. Dyn. Syst. 9, No. 4, 1164--1200 (2010; Zbl 1201.65217) Full Text: DOI
Guckenheimer, John; Kuehn, Christian Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. (English) Zbl 1210.34060 SIAM J. Appl. Dyn. Syst. 9, No. 1, 138-153 (2010). Reviewer: E. V. Shchetinina (Samara) MSC: 34C37 34E13 34E15 37G20 34C26 37D45 34C23 34C45 PDFBibTeX XMLCite \textit{J. Guckenheimer} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 9, No. 1, 138--153 (2010; Zbl 1210.34060) Full Text: DOI arXiv
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. (English) Zbl 1267.35027 SIAM J. Appl. Dyn. Syst. 9, No. 1, 1-33 (2010). Reviewer: Eugen Mamontov (Gothenburg) MSC: 35B36 37L20 35B10 35Q53 37C29 37D45 37N10 65H10 35B06 PDFBibTeX XMLCite \textit{P. Cvitanović} et al., SIAM J. Appl. Dyn. Syst. 9, No. 1, 1--33 (2010; Zbl 1267.35027) Full Text: DOI arXiv
Mason, Joanna F.; Piiroinen, Petri T. The effect of codimension-two bifurcations on the global dynamics of a gear model. (English) Zbl 1191.34065 SIAM J. Appl. Dyn. Syst. 8, No. 4, 1694-1711 (2009). Reviewer: Pedro J. Torres (Granada) MSC: 34C60 34A36 37D45 37G15 34D20 34C23 34C28 PDFBibTeX XMLCite \textit{J. F. Mason} and \textit{P. T. Piiroinen}, SIAM J. Appl. Dyn. Syst. 8, No. 4, 1694--1711 (2009; Zbl 1191.34065) Full Text: DOI
Giraldo, A.; Sanjurjo, J. M. R. Singular continuations of attractors. (English) Zbl 1174.37006 SIAM J. Appl. Dyn. Syst. 8, No. 2, 554-575 (2009). Reviewer: Vladimir Răsvan (Craiova) MSC: 37C70 37B25 37B30 37D45 54C56 55P55 PDFBibTeX XMLCite \textit{A. Giraldo} and \textit{J. M. R. Sanjurjo}, SIAM J. Appl. Dyn. Syst. 8, No. 2, 554--575 (2009; Zbl 1174.37006) Full Text: DOI
Sun, Jie; Bollt, Erik M.; Nishikawa, Takashi Constructing generalized synchronization manifolds by manifold equation. (English) Zbl 1169.37010 SIAM J. Appl. Dyn. Syst. 8, No. 1, 202-221 (2009). Reviewer: Ljubiša Kocić (Niš) MSC: 37D45 37N35 PDFBibTeX XMLCite \textit{J. Sun} et al., SIAM J. Appl. Dyn. Syst. 8, No. 1, 202--221 (2009; Zbl 1169.37010) Full Text: DOI arXiv
Gottwald, Georg A.; Melbourne, Ian On the implementation of the 0-1 test for chaos. (English) Zbl 1161.37054 SIAM J. Appl. Dyn. Syst. 8, No. 1, 129-145 (2009). MSC: 37M10 65P20 37D45 PDFBibTeX XMLCite \textit{G. A. Gottwald} and \textit{I. Melbourne}, SIAM J. Appl. Dyn. Syst. 8, No. 1, 129--145 (2009; Zbl 1161.37054) Full Text: DOI arXiv
van den Berg, Jan Bouwe; Lessard, Jean-Philippe Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. (English) Zbl 1408.37062 SIAM J. Appl. Dyn. Syst. 7, No. 3, 988-1031 (2008). MSC: 37D45 37-04 37L99 37M99 92C15 PDFBibTeX XMLCite \textit{J. B. van den Berg} and \textit{J.-P. Lessard}, SIAM J. Appl. Dyn. Syst. 7, No. 3, 988--1031 (2008; Zbl 1408.37062) Full Text: DOI
Juang, Jonq; Liang, Yu-Hao Synchronous chaos in coupled map lattices with general connectivity topology. (English) Zbl 1159.37357 SIAM J. Appl. Dyn. Syst. 7, No. 3, 755-765 (2008). MSC: 37D45 37N35 PDFBibTeX XMLCite \textit{J. Juang} and \textit{Y.-H. Liang}, SIAM J. Appl. Dyn. Syst. 7, No. 3, 755--765 (2008; Zbl 1159.37357) Full Text: DOI Link
Falconer, Ian; Gottwald, Georg A.; Melbourne, Ian; Wormnes, Kjetil Application of the 0-1 test for chaos to experimental data. (English) Zbl 1210.37059 SIAM J. Appl. Dyn. Syst. 6, No. 2, 395-402 (2007). MSC: 37M10 65P20 37D45 PDFBibTeX XMLCite \textit{I. Falconer} et al., SIAM J. Appl. Dyn. Syst. 6, No. 2, 395--402 (2007; Zbl 1210.37059) Full Text: DOI Link
Lin, Kevin K. Entrainment and chaos in a pulse-driven Hodgkin-Huxley oscillator. (English) Zbl 1210.37025 SIAM J. Appl. Dyn. Syst. 5, No. 2, 179-204 (2006). MSC: 37D45 37N25 65P99 PDFBibTeX XMLCite \textit{K. K. Lin}, SIAM J. Appl. Dyn. Syst. 5, No. 2, 179--204 (2006; Zbl 1210.37025) Full Text: DOI arXiv
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray Sufficient conditions for fast switching synchronization in time-varying network topologies. (English) Zbl 1145.37345 SIAM J. Appl. Dyn. Syst. 5, No. 1, 140-156 (2006). MSC: 37N25 93B05 34C15 37D45 92D30 PDFBibTeX XMLCite \textit{D. J. Stilwell} et al., SIAM J. Appl. Dyn. Syst. 5, No. 1, 140--156 (2006; Zbl 1145.37345) Full Text: DOI arXiv
Eyres, R. D.; Piiroinen, P. T.; Champneys, A. R.; Lieven, N. A. J. Grazing bifurcations and chaos in the dynamics of a hydraulic damper with relief valves. (English) Zbl 1090.37058 SIAM J. Appl. Dyn. Syst. 4, No. 4, 1076-1106 (2005). MSC: 37N05 37D45 37G15 37G25 37G35 70E50 70K40 70K42 70K50 PDFBibTeX XMLCite \textit{R. D. Eyres} et al., SIAM J. Appl. Dyn. Syst. 4, No. 4, 1076--1106 (2005; Zbl 1090.37058) Full Text: DOI Link
Moehlis, Jeff; Faisst, Holger; Eckhardt, Bruno Periodic orbits and chaotic sets in a low-dimensional model for shear flows. (English) Zbl 1090.37059 SIAM J. Appl. Dyn. Syst. 4, No. 2, 352-376 (2005). MSC: 37N10 37D45 37G35 37C27 76F20 37G15 PDFBibTeX XMLCite \textit{J. Moehlis} et al., SIAM J. Appl. Dyn. Syst. 4, No. 2, 352--376 (2005; Zbl 1090.37059) Full Text: DOI Link
Mullowney, P.; Julien, K.; Meiss, J. D. Blinking rolls: chaotic advection in a three-dimensional flow with an invariant. (English) Zbl 1147.76577 SIAM J. Appl. Dyn. Syst. 4, No. 1, 159-186 (2005). MSC: 76F25 37N10 37D45 76F20 PDFBibTeX XMLCite \textit{P. Mullowney} et al., SIAM J. Appl. Dyn. Syst. 4, No. 1, 159--186 (2005; Zbl 1147.76577) Full Text: DOI Link
Abreu, Stella; Aston, Philip; Melbourne, Ian Symmetric chaos in a local codimension two bifurcation with the symmetry group of a square. (English) Zbl 1060.37042 SIAM J. Appl. Dyn. Syst. 4, No. 1, 32-52 (2005). MSC: 37G40 34C28 37D45 37L15 37L10 37N99 PDFBibTeX XMLCite \textit{S. Abreu} et al., SIAM J. Appl. Dyn. Syst. 4, No. 1, 32--52 (2005; Zbl 1060.37042) Full Text: DOI Link
Guckenheimer, John; Oliva, Ricardo A. Chaos in the Hodgkin–Huxley model. (English) Zbl 1002.92005 SIAM J. Appl. Dyn. Syst. 1, No. 1, 105-114 (2002). MSC: 92C20 37N25 37D45 PDFBibTeX XMLCite \textit{J. Guckenheimer} and \textit{R. A. Oliva}, SIAM J. Appl. Dyn. Syst. 1, No. 1, 105--114 (2002; Zbl 1002.92005) Full Text: DOI