Newman, Julian; Ashwin, Peter Physical measures of asymptotically autonomous dynamical systems. (English) Zbl 1523.37028 Stoch. Dyn. 23, No. 3, Article ID 2350020, 31 p. (2023). MSC: 37B55 37B35 PDFBibTeX XMLCite \textit{J. Newman} and \textit{P. Ashwin}, Stoch. Dyn. 23, No. 3, Article ID 2350020, 31 p. (2023; Zbl 1523.37028) Full Text: DOI
Ashwin, Peter; Bick, Christian; Rodrigues, Ana From symmetric networks to heteroclinic dynamics and chaos in coupled phase oscillators with higher-order interactions. (English) Zbl 1509.37053 Battiston, Federico (ed.) et al., Higher-order systems. Cham: Springer. Underst. Complex Syst., 197-216 (2022). MSC: 37G05 34C15 37C29 37G10 37G35 PDFBibTeX XMLCite \textit{P. Ashwin} et al., in: Higher-order systems. Cham: Springer. 197--216 (2022; Zbl 1509.37053) Full Text: DOI
Nyman, Karl H. M.; Ashwin, Peter; Ditlevsen, Peter D. Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems. (English) Zbl 07459749 Nonlinearity 33, No. 6, 2853-2904 (2020). MSC: 37G10 37G15 37G35 70K70 PDFBibTeX XMLCite \textit{K. H. M. Nyman} et al., Nonlinearity 33, No. 6, 2853--2904 (2020; Zbl 07459749) Full Text: DOI arXiv
Ashwin, Peter; von der Heydt, Anna S. Extreme sensitivity and climate tipping points. (English) Zbl 1446.37075 J. Stat. Phys. 179, No. 5-6, 1531-1552 (2020). MSC: 37N10 37M22 37M20 86A08 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{A. S. von der Heydt}, J. Stat. Phys. 179, No. 5--6, 1531--1552 (2020; Zbl 1446.37075) Full Text: DOI arXiv
Ashwin, Peter; Castro, Sofia B. S. D.; Lohse, Alexander Almost complete and equable heteroclinic networks. (English) Zbl 1431.34058 J. Nonlinear Sci. 30, No. 1, 1-22 (2020). MSC: 34C37 34D45 37C29 37C75 PDFBibTeX XMLCite \textit{P. Ashwin} et al., J. Nonlinear Sci. 30, No. 1, 1--22 (2020; Zbl 1431.34058) Full Text: DOI arXiv Link
Alkhayuon, Hassan M.; Ashwin, Peter Rate-induced tipping from periodic attractors: partial tipping and connecting orbits. (English) Zbl 1392.37026 Chaos 28, No. 3, 033608, 11 p. (2018). MSC: 37C70 37D45 PDFBibTeX XMLCite \textit{H. M. Alkhayuon} and \textit{P. Ashwin}, Chaos 28, No. 3, 033608, 11 p. (2018; Zbl 1392.37026) Full Text: DOI arXiv Link
Ashwin, Peter; Perryman, Clare; Wieczorek, Sebastian Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping. (English) Zbl 1435.37104 Nonlinearity 30, No. 6, 2185-2210 (2017). MSC: 37M22 37M20 37C60 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Nonlinearity 30, No. 6, 2185--2210 (2017; Zbl 1435.37104) Full Text: DOI arXiv
Bick, Christian; Ashwin, Peter; Rodrigues, Ana Chaos in generically coupled phase oscillator networks with nonpairwise interactions. (English) Zbl 1382.34038 Chaos 26, No. 9, 094814, 8 p. (2016). MSC: 34C15 34D06 34D45 34C60 PDFBibTeX XMLCite \textit{C. Bick} et al., Chaos 26, No. 9, 094814, 8 p. (2016; Zbl 1382.34038) Full Text: DOI arXiv Link
Roslan, Ummu Atiqah Mohd; Ashwin, Peter Local and global stability indices for a riddled basin attractor of a piecewise linear map. (English) Zbl 1370.37057 Dyn. Syst. 31, No. 3, 375-392 (2016). MSC: 37C70 28A75 37A25 37B25 PDFBibTeX XMLCite \textit{U. A. M. Roslan} and \textit{P. Ashwin}, Dyn. Syst. 31, No. 3, 375--392 (2016; Zbl 1370.37057) Full Text: DOI Link
Ashwin, Peter; Burylko, Oleksandr Weak chimeras in minimal networks of coupled phase oscillators. (English) Zbl 1345.34052 Chaos 25, No. 1, 013106, 9 p. (2015). MSC: 34C15 34D06 34D45 34C28 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{O. Burylko}, Chaos 25, No. 1, 013106, 9 p. (2015; Zbl 1345.34052) Full Text: DOI arXiv
Karabacak, Özkan; Ashwin, Peter On statistical attractors and the convergence of time averages. (English) Zbl 1214.37024 Math. Proc. Camb. Philos. Soc. 150, No. 2, 353-365 (2011). Reviewer: Peter Zabreiko (Minsk) MSC: 37C70 PDFBibTeX XMLCite \textit{Ö. Karabacak} and \textit{P. Ashwin}, Math. Proc. Camb. Philos. Soc. 150, No. 2, 353--365 (2011; Zbl 1214.37024) Full Text: DOI
Ashwin, Peter; Wieczorek, Sebastian; Vitolo, Renato; Cox, Peter Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system. arXiv:1103.0169 Preprint, arXiv:1103.0169 [math.DS] (2011). MSC: 37G35 BibTeX Cite \textit{P. Ashwin} et al., ``Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system'', Preprint, arXiv:1103.0169 [math.DS] (2011) Full Text: DOI arXiv OA License
Ashwin, Peter; Podvigina, Olga Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection. (English) Zbl 1311.37013 Chaos 20, No. 2, 023133, 12 p. (2010). MSC: 37C70 37C29 34F05 34D05 34C37 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{O. Podvigina}, Chaos 20, No. 2, 023133, 12 p. (2010; Zbl 1311.37013) Full Text: DOI Link
Ashwin, Peter; Orosz, Gábor; Borresen, Jon Heteroclinic switching in coupled oscillator networks: dynamics on odd graphs. (English) Zbl 1221.37044 Thiel, Marco (ed.) et al., Nonlinear dynamics and chaos. Advances and perspectives. Heidelberg: Springer (ISBN 978-3-642-04628-5/hbk; 978-3-642-04629-2/ebook). Understanding Complex Systems; Springer: Complexity, 31-50 (2010). Reviewer: Peter Zabreiko (Minsk) MSC: 37C70 37C80 PDFBibTeX XMLCite \textit{P. Ashwin} et al., in: Nonlinear dynamics and chaos. Advances and perspectives. Heidelberg: Springer. 31--50 (2010; Zbl 1221.37044)
Orosz, Gábor; Moehlis, Jeff; Ashwin, Peter Designing the dynamics of globally coupled oscillators. (English) Zbl 1196.34046 Prog. Theor. Phys. 122, No. 3, 611-630 (2009). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 34C15 34D45 34D05 PDFBibTeX XMLCite \textit{G. Orosz} et al., Prog. Theor. Phys. 122, No. 3, 611--630 (2009; Zbl 1196.34046) Full Text: DOI
Ashwin, Peter; Fu, Xinchu; Lin, Congping On planar piecewise and two-torus parabolic maps. (English) Zbl 1176.37017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 7, 2383-2390 (2009). MSC: 37E99 37C70 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 7, 2383--2390 (2009; Zbl 1176.37017) Full Text: DOI
Trovati, Marcello; Ashwin, Peter Tangency properties of a pentagonal tiling generated by a piecewise isometry. (English) Zbl 1163.37379 Chaos 17, No. 4, 043129, 11 p. (2007). MSC: 37D45 PDFBibTeX XMLCite \textit{M. Trovati} and \textit{P. Ashwin}, Chaos 17, No. 4, 043129, 11 p. (2007; Zbl 1163.37379) Full Text: DOI Link
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart Dynamics on networks of cluster states for globally coupled phase oscillators. (English) Zbl 1167.34326 SIAM J. Appl. Dyn. Syst. 6, No. 4, 728-758 (2007). MSC: 34C15 34C37 34D45 37G40 92B20 PDFBibTeX XMLCite \textit{P. Ashwin} et al., SIAM J. Appl. Dyn. Syst. 6, No. 4, 728--758 (2007; Zbl 1167.34326) Full Text: DOI Link
Ashwin, Peter; Borresen, Jon Discrete computation using a perturbed heteroclinic network. (English) Zbl 1195.34053 Phys. Lett., A 347, No. 4-6, 208-214 (2005). MSC: 34C15 37C70 92B20 82C32 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{J. Borresen}, Phys. Lett., A 347, No. 4--6, 208--214 (2005; Zbl 1195.34053) Full Text: DOI Link
Ashwin, Peter; Field, Michael Product dynamics for homoclinic attractors. (English) Zbl 1145.37307 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2053, 155-177 (2005). MSC: 37C70 37B25 37D99 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{M. Field}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2053, 155--177 (2005; Zbl 1145.37307) Full Text: DOI Link
Ashwin, P. Riddled basins and coupled dynamical systems. (English) Zbl 1103.37019 Chazottes, Jean-René (ed.) et al., Dynamics of coupled map lattices and of related spatially extended systems. Lectures delivered at the school-forum CML 2004, Paris, France, June 21 – July 2, 2004. Berlin: Springer (ISBN 3-540-24289-9/hbk). Lecture Notes in Physics 671, 181-207 (2005). Reviewer: Alois Klíč (Praha) MSC: 37D45 34C15 37C10 37C05 37C70 37C80 57S17 PDFBibTeX XMLCite \textit{P. Ashwin}, Lect. Notes Phys. 671, 181--207 (2005; Zbl 1103.37019)
Ashwin, Peter; Timme, Marc Unstable attractors: existence and robustness in networks of oscillators with delayed pulse coupling. (English) Zbl 1084.37061 Nonlinearity 18, No. 5, 2035-2060 (2005). MSC: 37L30 70K44 37D50 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{M. Timme}, Nonlinearity 18, No. 5, 2035--2060 (2005; Zbl 1084.37061) Full Text: DOI arXiv
Ashwin, Peter; Goetz, Arek Invariant curves and explosion of periodic islands in systems of piecewise rotations. (English) Zbl 1090.37029 SIAM J. Appl. Dyn. Syst. 4, No. 2, 437-458 (2005). MSC: 37E30 37E15 37E05 68W30 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{A. Goetz}, SIAM J. Appl. Dyn. Syst. 4, No. 2, 437--458 (2005; Zbl 1090.37029) Full Text: DOI Link
Sturman, Rob; Ashwin, Peter Internal dynamics of intermittency. (English) Zbl 1080.37036 Dangelmayr, Gerhard (ed.) et al., Dynamics and bifurcation of patterns in dissipative systems. Hackensack, NJ: World Scientific (ISBN 981-238-946-6/hbk). World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings 12, 357-385 (2004). MSC: 37D45 37E30 37C75 37C27 37G99 37C70 PDFBibTeX XMLCite \textit{R. Sturman} and \textit{P. Ashwin}, World Sci. Ser. Nonlinear Sci., Ser. B., Spec. Theme Issues Proc. 12, 357--385 (2004; Zbl 1080.37036)
Ashwin, Peter; Rucklidge, Alastair M.; Sturman, Rob Cycling chaotic attractors in two models for dynamics with invariant subspaces. (English) Zbl 1080.37026 Chaos 14, No. 3, 571-582 (2004). MSC: 37D45 37C27 37C75 37N10 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Chaos 14, No. 3, 571--582 (2004; Zbl 1080.37026) Full Text: DOI Link
Ashwin, Peter; Rucklidge, Alastair M.; Sturman, Rob Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory. (English) Zbl 1051.37041 Physica D 194, No. 1-2, 30-48 (2004). MSC: 37N10 37G40 37G15 76W05 85A30 37D45 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Physica D 194, No. 1--2, 30--48 (2004; Zbl 1051.37041) Full Text: DOI Link
Ashwin, Peter; Field, Michael; Rucklidge, Alastair M.; Sturman, Rob Phase resetting effects for robust cycles between chaotic sets. (English) Zbl 1080.37518 Chaos 13, No. 3, 973-981 (2003). MSC: 37D45 34C28 37C29 37C70 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Chaos 13, No. 3, 973--981 (2003; Zbl 1080.37518) Full Text: DOI Link
Ashwin, Peter; Rucklidge, Alastair M.; Sturman, Rob Cycling attractors of coupled cell systems and dynamics with symmetry. (English) Zbl 1050.37047 Pikovsky, Arkady (ed.) et al., Synchronization: Theory and application. Proceedings of the NATO Advanced Study Institute, Yalta, Crimea, Ukraine, May 19–June 1, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1417-1/pbk; 1-4020-1416-3/hbk). NATO Sci. Ser. II, Math. Phys. Chem. 109, 5-23 (2003). MSC: 37N99 37C70 37C80 37C75 37D45 37C27 37G40 PDFBibTeX XMLCite \textit{P. Ashwin} et al., NATO Sci. Ser. II, Math. Phys. Chem. 109, 5--23 (2003; Zbl 1050.37047)
Ashwin, Peter; Podvigina, Olga Hopf bifurcation with cubic symmetry and instability of ABC flow. (English) Zbl 1116.37310 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1801-1827 (2003). MSC: 37G40 37D45 37N10 76D05 76E99 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{O. Podvigina}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1801--1827 (2003; Zbl 1116.37310) Full Text: DOI Link
Ashwin, Peter; Ochs, Gunter Convergence to local random attractors. (English) Zbl 1136.37345 Dyn. Syst. 18, No. 2, 139-158 (2003). MSC: 37H10 37C70 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{G. Ochs}, Dyn. Syst. 18, No. 2, 139--158 (2003; Zbl 1136.37345) Full Text: DOI Link
Ashwin, Peter Patchwork patterns: Dynamics on unbounded domains. (English) Zbl 1032.37013 Buescu, Jorge (ed.) et al., Bifurcation, symmetry and patterns. Basel: Birkhäuser. Trends in Mathematics. 67-74 (2003). MSC: 37C70 37B25 35B41 PDFBibTeX XMLCite \textit{P. Ashwin}, in: Bifurcation, symmetry and patterns. Basel: Birkhäu\-ser. 67--74 (2003; Zbl 1032.37013)
Ashwin, Peter; Fu, Xin-Chu On the dynamics of some nonhyperbolic area-preserving piecewise linear maps. (English) Zbl 1013.37039 McWhirter, J. G. (ed.) et al., Mathematics in signal processing V. Based on the proceedings of the 5th IMA conference, Univ. of Warwick, GB, December 2000. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 71, 137-145 (2002). Reviewer: Jörg Härterich (Berlin) MSC: 37E99 37C70 37-02 37B05 94A12 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{X.-C. Fu}, Inst. Math. Appl. Conf. Ser., New Ser. 71, 137--145 (2002; Zbl 1013.37039)
Ashwin, Peter; Fu, Xin-Chu; Terry, John R. Riddling and invariance for discontinuous maps preserving Lebesgue measure. (English) Zbl 1073.37009 Nonlinearity 15, No. 3, 633-645 (2002). MSC: 37B05 37A99 37D45 37E99 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Nonlinearity 15, No. 3, 633--645 (2002; Zbl 1073.37009) Full Text: DOI Link
Nicol, Matthew; Melbourne, Ian; Ashwin, Peter Euclidean extensions of dynamical systems. (English) Zbl 1183.37043 Nonlinearity 14, No. 2, 275-300 (2001). MSC: 37C55 37C80 37C35 37D45 PDFBibTeX XMLCite \textit{M. Nicol} et al., Nonlinearity 14, No. 2, 275--300 (2001; Zbl 1183.37043) Full Text: DOI Link
Ashwin, P.; Breakspear, M. Anisotropic properties of riddled basins. (English) Zbl 0972.37032 Phys. Lett., A 280, No. 3, 139-145 (2001). MSC: 37H99 37G35 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{M. Breakspear}, Phys. Lett., A 280, No. 3, 139--145 (2001; Zbl 0972.37032) Full Text: DOI
Ashwin, Peter; Melbourne, Ian; Nicol, Matthew Drift for Euclidean extensions of dynamical systems. (English) Zbl 0976.37011 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 145-150 (2000). MSC: 37C80 37D45 PDFBibTeX XMLCite \textit{P. Ashwin} et al., in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 145--150 (2000; Zbl 0976.37011)
Ashwin, Peter; Terry, John R. On riddling and weak attractors. (English) Zbl 0954.37015 Physica D 142, No. 1-2, 87-100 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37C70 37D10 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{J. R. Terry}, Physica D 142, No. 1--2, 87--100 (2000; Zbl 0954.37015) Full Text: DOI
Ashwin, Peter; Covas, Eurico; Tavakol, Reza Transverse instability for non-normal parameters. (English) Zbl 0984.37053 Nonlinearity 12, No. 3, 563-577 (1999). MSC: 37G35 34C23 34D45 37D45 37G15 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Nonlinearity 12, No. 3, 563--577 (1999; Zbl 0984.37053) Full Text: DOI arXiv
Ashwin, Peter Chaotic intermittency of patterns in symmetric systems. (English) Zbl 0999.37033 Golubitsky, Martin (ed.) et al., Pattern formation in continuous and coupled systems. Proceedings of a workshop, integral part of the 1997 IMA program, Minneapolis, MN, USA, May 11-15, 1998. Dedication to John David Crawford (1954-1998). New York, NY: Springer. IMA Vol. Math. Appl. 115, 11-24 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37G35 37D45 37G40 37C70 34C23 PDFBibTeX XMLCite \textit{P. Ashwin}, IMA Vol. Math. Appl. 115, 11--24 (1999; Zbl 0999.37033)
Ashwin, Peter Minimal attractors and bifurcations of random dynamical systems. (English) Zbl 0934.37049 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1987, 2615-2634 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37H20 37G35 PDFBibTeX XMLCite \textit{P. Ashwin}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1987, 2615--2634 (1999; Zbl 0934.37049) Full Text: DOI Link
Ashwin, Peter Attractors of a randomly forced electronic oscillator. (English) Zbl 1065.94567 Physica D 125, No. 3-4, 302-310 (1999). MSC: 94C05 34C15 34D45 34F05 37N99 94A05 PDFBibTeX XMLCite \textit{P. Ashwin}, Physica D 125, No. 3--4, 302--310 (1999; Zbl 1065.94567) Full Text: DOI
Ashwin, Peter; Aston, Philip J. Blowout bifurcations of codimension two. (English) Zbl 1044.37515 Phys. Lett., A 244, No. 4, 261-270 (1998). MSC: 37G99 37C70 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{P. J. Aston}, Phys. Lett., A 244, No. 4, 261--270 (1998; Zbl 1044.37515) Full Text: DOI
Ashwin, P.; Chossat, P. Attractors for robust heteroclinic cycles with continua of connections. (English) Zbl 0901.58045 J. Nonlinear Sci. 8, No. 2, 103-129 (1998). Reviewer: M.Hurley (Cleveland) MSC: 37C10 37C80 37D45 34C37 34D45 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{P. Chossat}, J. Nonlinear Sci. 8, No. 2, 103--129 (1998; Zbl 0901.58045) Full Text: DOI
Ashwin, Peter; Aston, Philip J.; Nicol, Matthew On the unfolding of a blowout bifurcation. (English) Zbl 0930.37013 Physica D 111, No. 1-4, 81-95 (1998). MSC: 37D45 37D25 58E40 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Physica D 111, No. 1--4, 81--95 (1998; Zbl 0930.37013) Full Text: DOI
Ashwin, Peter; Tomes, Jörg Detection of symmetry of attractors from observations. II: An experiment with S\(_4\) symmetry. (English) Zbl 0894.58038 Physica D 100, No. 1-4, 71-84 (1997). MSC: 37C70 37C80 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{J. Tomes}, Physica D 100, No. 1--4, 71--84 (1997; Zbl 0894.58038) Full Text: DOI
Ashwin, Peter; Nicol, Matthew Detection of symmetry of attractors from observations. I: Theory. (English) Zbl 0894.58037 Physica D 100, No. 1-4, 58-70 (1997). MSC: 37C70 37C80 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{M. Nicol}, Physica D 100, No. 1--4, 58--70 (1997; Zbl 0894.58037) Full Text: DOI
Ashwin, Peter Cycles homoclinic to chaotic sets; robustness and resonance. (English) Zbl 1012.37020 Chaos 7, No. 2, 207-220 (1997). MSC: 37D45 37D25 37M25 PDFBibTeX XMLCite \textit{P. Ashwin}, Chaos 7, No. 2, 207--220 (1997; Zbl 1012.37020) Full Text: DOI Link
Ashwin, Peter; Buescu, Jorge; Stewart, Ian From attractor to chaotic saddle: A tale of transverse instability. (English) Zbl 0887.58034 Nonlinearity 9, No. 3, 703-737 (1996). MSC: 37C70 34D35 37A99 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Nonlinearity 9, No. 3, 703--737 (1996; Zbl 0887.58034) Full Text: DOI Link
Ashwin, Peter; Melbourne, Ian Symmetry groups of attractors. (English) Zbl 0817.58020 Arch. Ration. Mech. Anal. 126, No. 1, 59-78 (1994). Reviewer: M.Mrozek (Krakow) MSC: 37C70 37C80 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{I. Melbourne}, Arch. Ration. Mech. Anal. 126, No. 1, 59--78 (1994; Zbl 0817.58020) Full Text: DOI
Ashwin, Peter; Swift, James W. Measuring rotation sets of coupled oscillators. (English) Zbl 0809.34051 Nonlinearity 7, No. 3, 925-942 (1994). MSC: 34C15 34C25 37D45 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{J. W. Swift}, Nonlinearity 7, No. 3, 925--942 (1994; Zbl 0809.34051) Full Text: DOI
Ashwin, Peter; Buescu, Jorge; Stewart, Ian Bubbling of attractors and synchronisation of chaotic oscillators. (English) Zbl 0959.37508 Phys. Lett., A 193, No. 2, 126-139 (1994). MSC: 37D45 34C15 34D45 94C05 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Phys. Lett., A 193, No. 2, 126--139 (1994; Zbl 0959.37508) Full Text: DOI
Ashwin, Peter; Guaschi, John; Phelps, J. M. Rotation sets and phase-locking in an electronic three oscillator system. (English) Zbl 0784.34027 Physica D 66, No. 3-4, 392-411 (1993). MSC: 34C15 34C23 37D45 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Physica D 66, No. 3--4, 392--411 (1993; Zbl 0784.34027) Full Text: DOI
Ashwin, P.; Swift, J. W. Unfolding the torus: Oscillator geometry from time delays. (English) Zbl 0804.34036 J. Nonlinear Sci. 3, No. 4, 459-475 (1993). Reviewer: E.Ershov (St.Peterburg) MSC: 34C15 37C70 34A26 65J99 34D45 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{J. W. Swift}, J. Nonlinear Sci. 3, No. 4, 459--475 (1993; Zbl 0804.34036) Full Text: DOI