Thompson, J. Michael T. Chaos, fractals and their applications. (English) Zbl 1354.34002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1630035, 22 p. (2016). MSC: 34-01 37-01 34C28 28A80 37D45 37F50 37Nxx PDFBibTeX XMLCite \textit{J. M. T. Thompson}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1630035, 22 p. (2016; Zbl 1354.34002) Full Text: DOI
Rega, G.; Lenci, S.; Thompson, J. M. T. Controlling chaos: the OGY method, its use in mechanics, and an alternative unified framework for control of non-regular dynamics. (English) Zbl 1225.37045 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, 211-269 (2010). Reviewer: M. Marin (Brasov) MSC: 37D45 37N35 93B27 37N05 37N15 93C20 PDFBibTeX XMLCite \textit{G. Rega} et al., in: Nonlinear dynamics and chaos. Advances and perspectives. Heidelberg: Springer. 211--269 (2010; Zbl 1225.37045)
Thompson, J. M. T.; Stewart, H. B. Nonlinear dynamics and chaos. 2nd ed. (English) Zbl 1174.37300 Chichester: Wiley (ISBN 0-471-87684-4/pbk; 0-471-87645-3/hbk). xxii, 437 p. (2002). MSC: 37-02 37D45 70K99 37C70 37G99 34C15 PDFBibTeX XMLCite \textit{J. M. T. Thompson} and \textit{H. B. Stewart}, Nonlinear dynamics and chaos. 2nd ed. Chichester: Wiley (2002; Zbl 1174.37300)
Thompson, J. M. T. Global dynamics of driven oscillators: Fractal basins and indeterminate bifurcations. (English) Zbl 0870.70018 Aston, Philip J. (ed.), Nonlinear mathematics and its applications. Proceedings of the 4th spring school on applied nonlinear mathematics, Surrey, GB, April 3-7, 1995. Cambridge: Cambridge University Press. 1-47 (1996). MSC: 70K50 37D45 37C70 PDFBibTeX XMLCite \textit{J. M. T. Thompson}, in: Nonlinear mathematics and its applications. Proceedings of the 4th spring school on applied nonlinear mathematics, Surrey, GB, April 3-7, 1995. Cambridge: Cambridge University Press. 1--47 (1996; Zbl 0870.70018)
Thompson, J. M. T. Progress in nonlinear dynamics and chaos. (English) Zbl 0834.70016 Kounadis, A. N. (ed.) et al., Nonlinear stability of structures: theory and computational techniques. Papers presented at the course No. 75 on nonlinear stability of structures held at Udine, Italy, Sept. 6-10, 1993. Wien: Springer-Verlag. CISM Courses Lect. 342, 217-239 (1995). MSC: 70K50 37D45 37C70 PDFBibTeX XMLCite \textit{J. M. T. Thompson}, CISM Courses Lect. 342, 217--239 (1995; Zbl 0834.70016)
Thompson, J. M. T. Basic concepts of nonlinear dynamics. (English) Zbl 0869.70018 Thompson, J. M. T. (ed.) et al., Nonlinearity and chaos in engineering dynamics. Proceedings of the IUTAM symposium held at the University College London, UK, July 19-23, 1993. Chichester: Wiley. 1-21 (1994). MSC: 70K50 70-02 37D45 PDFBibTeX XMLCite \textit{J. M. T. Thompson}, in: Nonlinearity and chaos in engineering dynamics. Proceedings of the IUTAM symposium held at the University College London, UK, July 19-23, 1993. Chichester: Wiley. 1--21 (1994; Zbl 0869.70018)
Thompson, J. M. T.; McRobie, F. A. Indeterminate bifurcations and the global dynamics of driven oscillators. (English) Zbl 0794.70017 Kreuzer, Edwin (ed.) et al., 1st European nonlinear oscillations conference. Proceedings of the international conference held in Hamburg, Germany, August 16-20, 1993. Berlin: Akademie Verlag. Math. Res. 72, 107-128 (1993). Reviewer: P.J.Bryant (Christchurch) MSC: 70K50 37G99 37D45 PDFBibTeX XMLCite \textit{J. M. T. Thompson} and \textit{F. A. McRobie}, in: 1st European nonlinear oscillations conference. Proceedings of the international conference held in Hamburg, August 16-20, 1993. Berlin: Akademie Verlag. 107--128 (1993; Zbl 0794.70017)
Thompson, J. M. T.; Stewart, H. B. A tutorial glossary of geometrical dynamics. (English) Zbl 0870.58001 Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, No. 2, 223-239 (1993). MSC: 58-00 37D45 PDFBibTeX XMLCite \textit{J. M. T. Thompson} and \textit{H. B. Stewart}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, No. 2, 223--239 (1993; Zbl 0870.58001) Full Text: DOI
Soliman, Mohamed S.; Thompson, J. M. T. Indeterminate sub-critical bifurcations in parametric resonance. (English) Zbl 0825.70083 Proc. R. Soc. Lond., Ser. A 438, No. 1904, 511-518 (1992). MSC: 70K28 70K50 37G99 37D45 PDFBibTeX XMLCite \textit{M. S. Soliman} and \textit{J. M. T. Thompson}, Proc. R. Soc. Lond., Ser. A 438, No. 1904, 511--518 (1992; Zbl 0825.70083) Full Text: DOI
Soliman, Mohamed S.; Thompson, J. M. T. Indeterminate trans-critical bifurcations in parametrically excited systems. (English) Zbl 0825.70084 Proc. R. Soc. Lond., Ser. A 439, No. 1907, 601-610 (1992). MSC: 70K28 37G99 37D45 PDFBibTeX XMLCite \textit{M. S. Soliman} and \textit{J. M. T. Thompson}, Proc. R. Soc. Lond., Ser. A 439, No. 1907, 601--610 (1992; Zbl 0825.70084) Full Text: DOI
Lansbury, A. N.; Thompson, J. M. T.; Stewart, H. B. Basin erosion in the twin-well Duffing oscillator: Two distinct bifurcation scenarios. (English) Zbl 0878.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, No. 3, 505-532 (1992). MSC: 34C23 37D45 34C15 34D45 PDFBibTeX XMLCite \textit{A. N. Lansbury} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, No. 3, 505--532 (1992; Zbl 0878.34034) Full Text: DOI
Soliman, Mohamed S.; Thompson, J. M. T. Basin organization prior to a tangled saddle-node bifurcation. (English) Zbl 0755.70026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 107-118 (1991). MSC: 70K50 37D45 37G99 PDFBibTeX XMLCite \textit{M. S. Soliman} and \textit{J. M. T. Thompson}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 107--118 (1991; Zbl 0755.70026) Full Text: DOI
Thompson, J. M. T. Chaotic phenomena triggering the escape from a potential well. (English) Zbl 0743.70023 Engineering applications of dynamics of chaos, CISM Courses Lect. 319, 279-309 (1991). MSC: 70K50 37D45 PDFBibTeX XMLCite \textit{J. M. T. Thompson}, CISM Courses Lect. 319, 279--309 (1991; Zbl 0743.70023)
Soliman, Mohamed S.; Thompson, J. M. T. Stochastic penetration of smooth and fractal basin boundaries under noise excitation. (English) Zbl 0726.70020 Dyn. Stab. Syst. 5, No. 4, 281-298 (1990). Reviewer: P.Smith (Keele) MSC: 70K50 34C23 37D45 70L05 34C25 PDFBibTeX XMLCite \textit{M. S. Soliman} and \textit{J. M. T. Thompson}, Dyn. Stab. Syst. 5, No. 4, 281--298 (1990; Zbl 0726.70020) Full Text: DOI
Soliman, M. S.; Thompson, J. M. T. Integrity measures quantifying the erosion of smooth and fractal basins of attraction. (English) Zbl 1235.70106 J. Sound Vib. 135, No. 3, 453-475 (1989). MSC: 70K40 70K50 37N05 37D45 PDFBibTeX XMLCite \textit{M. S. Soliman} and \textit{J. M. T. Thompson}, J. Sound Vib. 135, No. 3, 453--475 (1989; Zbl 1235.70106) Full Text: DOI
Thompson, J. M. T.; Ueda, Y. Basin boundary metamorphoses in the canonical escape equation. (English) Zbl 0681.70029 Dyn. Stab. Syst. 4, No. 3-4, 285-294 (1989). MSC: 70K50 37D45 70K20 70-08 PDFBibTeX XMLCite \textit{J. M. T. Thompson} and \textit{Y. Ueda}, Dyn. Stab. Syst. 4, No. 3--4, 285--294 (1989; Zbl 0681.70029) Full Text: DOI
Thompson, J. M. T. Chaotic phenomena triggering the escape from a potential well. (English) Zbl 0674.70035 Proc. R. Soc. Lond., Ser. A 421, No. 1861, 195-225 (1989). MSC: 70K50 37D45 PDFBibTeX XMLCite \textit{J. M. T. Thompson}, Proc. R. Soc. Lond., Ser. A 421, No. 1861, 195--225 (1989; Zbl 0674.70035) Full Text: DOI
Thompson, J. M. The Principia and contemporary mechanics: Chaotic dynamics and the new unpredictability. (English) Zbl 0978.37500 Notes Records R. Soc. London 42, No. 1, 97-122 (1988). MSC: 37D45 01A65 PDFBibTeX XMLCite \textit{J. M. Thompson}, Notes Rec. R. Soc. Lond. 42, No. 1, 97--122 (1988; Zbl 0978.37500) Full Text: DOI
Thompson, J. M. T.; Stewart, H. B. [Ghaffari, R.; Franciosi, C.; Swinney, H. L.] Nonlinear dynamics and chaos. Geometrical methods for engineers and scientists. With the assistance of R. Ghaffari and C. Franciosi and a contribution by H. L. Swinney. (English) Zbl 0601.58001 Chichester etc.: John Wiley & Sons. XVI, 376 p. £16.00 (1986). Reviewer: S. Bajzaev MSC: 37-02 37D45 70K99 37C70 37G99 34C15 PDFBibTeX XML
Thompson, J. M. T.; Bokaian, A. R.; Ghaffari, R. Subharmonic resonances and chaotic motions of a bilinear oscillator. (English) Zbl 0547.70028 IMA J. Appl. Math. 31, 207-234 (1983). Reviewer: F.Ling MSC: 70K30 34A34 37D45 PDFBibTeX XMLCite \textit{J. M. T. Thompson} et al., IMA J. Appl. Math. 31, 207--234 (1983; Zbl 0547.70028) Full Text: DOI
Thompson, J. M. T. Instabilities and catastrophes in science and engineering. With a foreword by James Lighthill. (English) Zbl 0554.58018 A Wiley-Interscience Publication. Chichester etc.: John Wiley & Sons Ltd. XVI, 226 p. (1982). MSC: 58K35 58-02 92-02 37D45 70Q05 74G60 76E99 81V70 85A99 PDFBibTeX XML