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Volumn 12, Issue 3, 2002, Pages 596-600

Recurrence plots and unstable periodic orbits

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EID: 0036711480     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1488255     Document Type: Article
Times cited : (47)

References (32)
  • 1
    • 85000276116 scopus 로고    scopus 로고
    • http://home.netcom.com/̃eugenek/download.html.
  • 2
    • 85000323585 scopus 로고    scopus 로고
    • http://www.cs.colorado.edu/̃lizb/rps.html.
  • 3
    • 0039966926 scopus 로고
    • Recycling of strange sets: I. Cycle expansions
    • R. Artuso, E. Aurell, and P. Cvitanovic, "Recycling of strange sets: I. Cycle expansions," Nonlinearity 3, 325-359 (1990).
    • (1990) Nonlinearity , vol.3 , pp. 325-359
    • Artuso, R.1    Aurell, E.2    Cvitanovic, P.3
  • 4
    • 18344381399 scopus 로고
    • Recycling of strange sets: II. Applications
    • R. Artuso, E. Aurell, and P. Cvitanovic, "Recycling of strange sets: II. Applications," Nonlinearity 3, 361-386 (1990).
    • (1990) Nonlinearity , vol.3 , pp. 361-386
    • Artuso, R.1    Aurell, E.2    Cvitanovic, P.3
  • 7
    • 0001452580 scopus 로고
    • Characterization of unstable periodic orbits in chaotic attractors and repellers
    • O. Biham and W. Wenzel, "Characterization of unstable periodic orbits in chaotic attractors and repellers," Phys. Rev. Lett. 63, 819-822 (1989).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 819-822
    • Biham, O.1    Wenzel, W.2
  • 8
    • 0005142137 scopus 로고
    • Rhythmogenesis of deterministic breathing patterns
    • edited by H. Haken and H. Koepchen (Springer-Verlag, Berlin)
    • J.C. Webber, "Rhythmogenesis of deterministic breathing patterns," in Rhythms in Physiological Systems, edited by H. Haken and H. Koepchen (Springer-Verlag, Berlin, 1991).
    • (1991) Rhythms in Physiological Systems
    • Webber, J.C.1
  • 9
    • 22244460535 scopus 로고    scopus 로고
    • Recurrence plots revisited
    • M. Casdagli, "Recurrence plots revisited," Physica D 108, 12-44 (1997).
    • (1997) Physica D , vol.108 , pp. 12-44
    • Casdagli, M.1
  • 10
    • 0002934254 scopus 로고
    • Periodic orbit quantization of the anisotropic Kepler problem
    • F. Christiansen and P. Cvitanovic, "Periodic orbit quantization of the anisotropic Kepler problem," Chaos 2, 61-69 (1992).
    • (1992) Chaos , vol.2 , pp. 61-69
    • Christiansen, F.1    Cvitanovic, P.2
  • 11
    • 0000549680 scopus 로고
    • Invariant measurement of strange sets in terms of circles
    • P. Cvitanovic, "Invariant measurement of strange sets in terms of circles," Phys. Rev. Lett. 61, 2729-2732 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2729-2732
    • Cvitanovic, P.1
  • 13
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617-656 (1985).
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 14
    • 84945709355 scopus 로고
    • An algorithm for finding best matches in logarithmic expected time
    • J.H. Friedman, J.L. Bentley, and R.A. Finkel, "An algorithm for finding best matches in logarithmic expected time," ACM Trans. Math. Softw. 3, 209-226 (1977).
    • (1977) ACM Trans. Math. Softw. , vol.3 , pp. 209-226
    • Friedman, J.H.1    Bentley, J.L.2    Finkel, R.A.3
  • 15
    • 0034701731 scopus 로고    scopus 로고
    • On the structures and quantification of recurrence plots
    • J. Gao and H. Cai, "On the structures and quantification of recurrence plots," Phys. Lett. A 270, 75-87 (2000).
    • (2000) Phys. Lett. A , vol.270 , pp. 75-87
    • Gao, J.1    Cai, H.2
  • 16
    • 85000326556 scopus 로고    scopus 로고
    • Exploiting the information content of protein sequences using time-series methods: A case study in rubredoxins
    • A. Giuliani, R. Benigni, P. Sirabella, J. Zbilut, and A. Colosimo, "Exploiting the information content of protein sequences using time-series methods: A case study in rubredoxins," Biophys. J. 78, 136-149 (1998).
    • (1998) Biophys. J. , vol.78 , pp. 136-149
    • Giuliani, A.1    Benigni, R.2    Sirabella, P.3    Zbilut, J.4    Colosimo, A.5
  • 17
    • 0034967327 scopus 로고    scopus 로고
    • Computing periodic orbits and their bifurcations with automatic differentiation
    • J. Guckenheimer and B. Meloon, "Computing periodic orbits and their bifurcations with automatic differentiation," SIAM J. Sci. Comput. (USA) 22, 951-985 (2000).
    • (2000) SIAM J. Sci. Comput. (USA) , vol.22 , pp. 951-985
    • Guckenheimer, J.1    Meloon, B.2
  • 18
    • 0002196124 scopus 로고
    • Chaos beyond onset: A comparison of theory and experiment
    • G.H. Gunaratne, P.S. Linsay, and M.J. Vinson, "Chaos beyond onset: A comparison of theory and experiment," Phys. Rev. Lett. 63, 1 (1989).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 1
    • Gunaratne, G.H.1    Linsay, P.S.2    Vinson, M.J.3
  • 19
    • 0034186262 scopus 로고    scopus 로고
    • Nonlinear time-course of lumbar muscle fatigue using recurrence quantifications
    • S. Ikagawa, M. Shinohara, T. Fukunaga, J. Zbilut, and C. Webber, "Nonlinear time-course of lumbar muscle fatigue using recurrence quantifications," Biol. Cybern. 82, 373-382 (2000).
    • (2000) Biol. Cybern. , vol.82 , pp. 373-382
    • Ikagawa, S.1    Shinohara, M.2    Fukunaga, T.3    Zbilut, J.4    Webber, C.5
  • 20
    • 0000942950 scopus 로고    scopus 로고
    • Recurrence plots of experimental data: To embed or not to embed?
    • J. Iwanski and E. Bradley, "Recurrence plots of experimental data: To embed or not to embed?" Chaos 8, 861-871 (1998).
    • (1998) Chaos , vol.8 , pp. 861-871
    • Iwanski, J.1    Bradley, E.2
  • 21
    • 0027351915 scopus 로고
    • Recurrence plots of neuronal spike trains
    • P. Kaluzny and R. Tarnecki, "Recurrence plots of neuronal spike trains," Biol. Cybern. 68, 527-534 (1993).
    • (1993) Biol. Cybern. , vol.68 , pp. 527-534
    • Kaluzny, P.1    Tarnecki, R.2
  • 22
    • 0001601058 scopus 로고
    • Use of recurrence plots in the analysis of time-series data
    • edited by M. Casdagli and S. Eubank (Addison Wesley, New York)
    • M. Koebbe and G. Mayer-Kress, "Use of recurrence plots in the analysis of time-series data," in Nonlinear Modeling and Forecasting, edited by M. Casdagli and S. Eubank (Addison Wesley, New York, 1992).
    • (1992) Nonlinear Modeling and Forecasting
    • Koebbe, M.1    Mayer-Kress, G.2
  • 23
    • 84958282739 scopus 로고    scopus 로고
    • Ph.D. thesis, Vienna Technical University, November
    • H. Löffelman, Ph.D. thesis, Vienna Technical University, November 1998. See also http://www.cg.tuwien.ac.at/̃helwig/diss/node42.htm.
    • (1998)
    • Löffelman, H.1
  • 24
    • 0002434633 scopus 로고    scopus 로고
    • Recurrence matrices and the preservation of dynamical properties
    • G. McGuire, N. Azar, and M. Shelhammer, "Recurrence matrices and the preservation of dynamical properties," Phys. Lett. A 237, 43-47 (1997).
    • (1997) Phys. Lett. A , vol.237 , pp. 43-47
    • McGuire, G.1    Azar, N.2    Shelhammer, M.3
  • 25
    • 0004439229 scopus 로고    scopus 로고
    • Periodic orbits: A new language for neuronal dynamics
    • P. So, J. Francis, T. Netoff, B. Gluckman, and S. Schiff, "Periodic orbits: A new language for neuronal dynamics," Biophys. J. 74, 2776-2785 (1998).
    • (1998) Biophys. J. , vol.74 , pp. 2776-2785
    • So, P.1    Francis, J.2    Netoff, T.3    Gluckman, B.4    Schiff, S.5
  • 26
    • 4243769823 scopus 로고    scopus 로고
    • Extracting unstable periodic orbits from chaotic time-series data
    • P. So, E. Ott, T. Saner, B. Gluckman, C. Grebogi, and S. Schiff, "Extracting unstable periodic orbits from chaotic time-series data," Phys. Rev. E 55, 5398-5417 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 5398-5417
    • So, P.1    Ott, E.2    Saner, T.3    Gluckman, B.4    Grebogi, C.5    Schiff, S.6
  • 27
    • 0001066377 scopus 로고    scopus 로고
    • Detecting unstable periodic orbits in chaotic experimental data
    • P. So, E. Ott, S. Schiff, D. Kaplan, T. Saner, and C. Grebogi, "Detecting unstable periodic orbits in chaotic experimental data," Phys. Rev. Lett. 76, 4705-4708 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4705-4708
    • So, P.1    Ott, E.2    Schiff, S.3    Kaplan, D.4    Saner, T.5    Grebogi, C.6
  • 28
    • 0028916114 scopus 로고
    • Influence of isometric loading on biceps EMG dynamics as assessed by linear and nonlinear tools
    • C. Webber, M. Schmidt, and J. Walsh, "Influence of isometric loading on biceps EMG dynamics as assessed by linear and nonlinear tools," J. Appl. Physiol. 78, 814-822 (1995).
    • (1995) J. Appl. Physiol. , vol.78 , pp. 814-822
    • Webber, C.1    Schmidt, M.2    Walsh, J.3
  • 29
    • 0028354598 scopus 로고
    • Dynamical assessment of physiological systems and states using recurrence plot strategies
    • C. Webber and J. Zbilut, "Dynamical assessment of physiological systems and states using recurrence plot strategies," J. Appl. Physiol. 76, 965-973 (1994).
    • (1994) J. Appl. Physiol. , vol.76 , pp. 965-973
    • Webber, C.1    Zbilut, J.2
  • 30
    • 0042639046 scopus 로고    scopus 로고
    • Detecting deterministic signals in exceptionally noisy environments using cross-recurrence quantification
    • J. Zbilut, A. Giuliani, and C. Webber, "Detecting deterministic signals in exceptionally noisy environments using cross-recurrence quantification," Phys. Lett. A 246, 122-128 (1998).
    • (1998) Phys. Lett. A , vol.246 , pp. 122-128
    • Zbilut, J.1    Giuliani, A.2    Webber, C.3
  • 31
    • 0042357254 scopus 로고    scopus 로고
    • Recurrence quantification analysis and principal components in the detection of short complex signals
    • J. Zbilut, A. Giuliani, and C. Webber, "Recurrence quantification analysis and principal components in the detection of short complex signals," Phys. Lett. A 237, 131-135 (1998).
    • (1998) Phys. Lett. A , vol.237 , pp. 131-135
    • Zbilut, J.1    Giuliani, A.2    Webber, C.3
  • 32
    • 0000688735 scopus 로고
    • Embeddings and delays as derived from recurrence quantification analysis
    • J. Zbilut and C. Webber, "Embeddings and delays as derived from recurrence quantification analysis," Phys. Lett. A 171, 199-203 (1992).
    • (1992) Phys. Lett. A , vol.171 , pp. 199-203
    • Zbilut, J.1    Webber, C.2


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