메뉴 건너뛰기




Volumn 40, Issue 4, 2009, Pages 1697-1714

Spurious structures in chaos indicators maps

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY;

EID: 65449167277     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.09.084     Document Type: Article
Times cited : (48)

References (48)
  • 1
    • 33744759810 scopus 로고    scopus 로고
    • An introduction to chaotic dynamical systems
    • Westview Press, Boulder (CO) Reprint of the second (1989) edition
    • Devaney R.L. An introduction to chaotic dynamical systems. Studies in nonlinearity (2003), Westview Press, Boulder (CO) Reprint of the second (1989) edition
    • (2003) Studies in nonlinearity
    • Devaney, R.L.1
  • 3
    • 0042130258 scopus 로고    scopus 로고
    • A direct numerical method for quantifying regular and chaotic orbits
    • Awrejcewicz J., Dzyubak L., and Grebogi C. A direct numerical method for quantifying regular and chaotic orbits. Chaos, Solitons & Fractals 19 (2004) 503-507
    • (2004) Chaos, Solitons & Fractals , vol.19 , pp. 503-507
    • Awrejcewicz, J.1    Dzyubak, L.2    Grebogi, C.3
  • 4
    • 20444492357 scopus 로고    scopus 로고
    • Sensitivity and chaos control for the forced nonlinear oscillations
    • Bashkirtseva I., and Ryashko L. Sensitivity and chaos control for the forced nonlinear oscillations. Chaos, Solitons & Fractals 26 5 (2005) 1437-1451
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.5 , pp. 1437-1451
    • Bashkirtseva, I.1    Ryashko, L.2
  • 5
    • 23144465624 scopus 로고    scopus 로고
    • Measuring transient chaos in nonlinear one- and two-dimensional maps
    • Buszko K., and Stefánski K. Measuring transient chaos in nonlinear one- and two-dimensional maps. Chaos, Solitons & Fractals 27 3 (2006) 630-646
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.3 , pp. 630-646
    • Buszko, K.1    Stefánski, K.2
  • 6
    • 1542380066 scopus 로고    scopus 로고
    • A new method of determining chaos-parameter-region for the tent map
    • Li C. A new method of determining chaos-parameter-region for the tent map. Chaos, Solitons & Fractals 21 4 (2004) 863-867
    • (2004) Chaos, Solitons & Fractals , vol.21 , Issue.4 , pp. 863-867
    • Li, C.1
  • 7
    • 0042122529 scopus 로고    scopus 로고
    • An analysis of chaos via contact transformation
    • Furui S. An analysis of chaos via contact transformation. Chaos, Solitons & Fractals 19 4 (2004) 743-757
    • (2004) Chaos, Solitons & Fractals , vol.19 , Issue.4 , pp. 743-757
    • Furui, S.1
  • 9
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann J.P., and Ruelle D. Ergodic theory of chaos and strange attractors. Rev Mod Phys 57 (1985) 617-656
    • (1985) Rev Mod Phys , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 13
    • 33745753735 scopus 로고    scopus 로고
    • Simple tools to study global dynamics in non-axisymmetric galactic potentials - I
    • Cincotta P.M., and Simó C. Simple tools to study global dynamics in non-axisymmetric galactic potentials - I. Astron Astrophys Suppl 147 (2000) 205-228
    • (2000) Astron Astrophys Suppl , vol.147 , pp. 205-228
    • Cincotta, P.M.1    Simó, C.2
  • 14
    • 0036375843 scopus 로고    scopus 로고
    • On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows
    • Fouchard M., Lega E., Froeschlé C., and Froeschlé C. On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows. Celestial Mech Dyn Astron 83 1-4 (2002) 205-222
    • (2002) Celestial Mech Dyn Astron , vol.83 , Issue.1-4 , pp. 205-222
    • Fouchard, M.1    Lega, E.2    Froeschlé, C.3    Froeschlé, C.4
  • 15
    • 0008488784 scopus 로고    scopus 로고
    • On the structure of symplectic mappings. The fast Lyapunov indicator: a very sensitivity tool
    • Froeschlé C., and Lega E. On the structure of symplectic mappings. The fast Lyapunov indicator: a very sensitivity tool. Celestial Mech Dyn Astron 78 (2000) 167-195
    • (2000) Celestial Mech Dyn Astron , vol.78 , pp. 167-195
    • Froeschlé, C.1    Lega, E.2
  • 16
    • 14944384236 scopus 로고    scopus 로고
    • Sensitivity tools vs. Poincaré sections
    • Barrio R. Sensitivity tools vs. Poincaré sections. Chaos, Solitons & Fractals 25 3 (2005) 711-726
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.3 , pp. 711-726
    • Barrio, R.1
  • 17
    • 33845542060 scopus 로고    scopus 로고
    • Painting chaos: a gallery of sensitivity plots of classical problems
    • Barrio R. Painting chaos: a gallery of sensitivity plots of classical problems. Int J Bifurcat Chaos 16 10 (2006) 2777-2798
    • (2006) Int J Bifurcat Chaos , vol.16 , Issue.10 , pp. 2777-2798
    • Barrio, R.1
  • 18
    • 0041529988 scopus 로고    scopus 로고
    • Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
    • Cincotta P.M., Giordano C.M., and Simó C. Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits. Physica D 182 (2003) 151-178
    • (2003) Physica D , vol.182 , pp. 151-178
    • Cincotta, P.M.1    Giordano, C.M.2    Simó, C.3
  • 19
    • 21644442402 scopus 로고    scopus 로고
    • Synchronous motion in the Kinoshita problem. Application to satellites and binary asteroids
    • Breiter S., Melendo B., Bartczak P., and Wytrzyszczak I. Synchronous motion in the Kinoshita problem. Application to satellites and binary asteroids. Astron Astrophys 437 (2005) 753-764
    • (2005) Astron Astrophys , vol.437 , pp. 753-764
    • Breiter, S.1    Melendo, B.2    Bartczak, P.3    Wytrzyszczak, I.4
  • 20
    • 22644444579 scopus 로고    scopus 로고
    • Long-term predictability of orbits around the geosynchronous altitude
    • Breiter S., Wytrzyszczak I., and Melendo B. Long-term predictability of orbits around the geosynchronous altitude. Adv Space Res 35 (2005) 1313-1317
    • (2005) Adv Space Res , vol.35 , pp. 1313-1317
    • Breiter, S.1    Wytrzyszczak, I.2    Melendo, B.3
  • 21
    • 0037319386 scopus 로고    scopus 로고
    • Stability of the HD 12661 planetary system
    • Goździewski K. Stability of the HD 12661 planetary system. Astron Astrophys 398 (2003) 1151-1161
    • (2003) Astron Astrophys , vol.398 , pp. 1151-1161
    • Goździewski, K.1
  • 23
    • 0141685651 scopus 로고    scopus 로고
    • An efficient method for studying the stability and dynamics of the rotational motions of celestial bodies
    • Pavlov A.I., and Maciejewski A.J. An efficient method for studying the stability and dynamics of the rotational motions of celestial bodies. Astron Lett 29 (2003) 552-566
    • (2003) Astron Lett , vol.29 , pp. 552-566
    • Pavlov, A.I.1    Maciejewski, A.J.2
  • 24
    • 71949084231 scopus 로고    scopus 로고
    • Pérez MJ, Cincotta PM, Giordano CM. Global dynamics in elliptical galaxies. In: Revista Mexicana de Astronomía y Astrofísica conference series, 2003. p. 187.
    • Pérez MJ, Cincotta PM, Giordano CM. Global dynamics in elliptical galaxies. In: Revista Mexicana de Astronomía y Astrofísica conference series, 2003. p. 187.
  • 25
    • 38349194267 scopus 로고    scopus 로고
    • Qualitative analysis of the (N + 1)-body ring problem
    • Barrio R., Blesa F., and Serrano S. Qualitative analysis of the (N + 1)-body ring problem. Chaos, Solitons & Fractals 36 4 (2008) 1067-1088
    • (2008) Chaos, Solitons & Fractals , vol.36 , Issue.4 , pp. 1067-1088
    • Barrio, R.1    Blesa, F.2    Serrano, S.3
  • 26
    • 33750108107 scopus 로고
    • The chaotic motion of the solar system - a numerical estimate of the size of the chaotic zones
    • Laskar J. The chaotic motion of the solar system - a numerical estimate of the size of the chaotic zones. Icarus 88 (1990) 266-291
    • (1990) Icarus , vol.88 , pp. 266-291
    • Laskar, J.1
  • 27
    • 34247189093 scopus 로고
    • The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping
    • Laskar J., Froeschlé C., and Celletti A. The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping. Physica D 56 (1992) 253-269
    • (1992) Physica D , vol.56 , pp. 253-269
    • Laskar, J.1    Froeschlé, C.2    Celletti, A.3
  • 28
    • 0010949045 scopus 로고    scopus 로고
    • Resonant structure of the outer solar system in the neighborhood of the planets
    • Michtchenko T.A., and Ferraz-Mello S. Resonant structure of the outer solar system in the neighborhood of the planets. Astron J 122 (2001) 474-481
    • (2001) Astron J , vol.122 , pp. 474-481
    • Michtchenko, T.A.1    Ferraz-Mello, S.2
  • 32
    • 2942731432 scopus 로고    scopus 로고
    • Fast calculation of fluorescence correlation data with asynchronous time-correlated single-photon counting
    • Wahl M., Gregor I., Patting M., and Enderlein J. Fast calculation of fluorescence correlation data with asynchronous time-correlated single-photon counting. Opt Express 11 (2003) 3583-3591
    • (2003) Opt Express , vol.11 , pp. 3583-3591
    • Wahl, M.1    Gregor, I.2    Patting, M.3    Enderlein, J.4
  • 33
    • 33751249935 scopus 로고    scopus 로고
    • Sensitivity analysis of ODEs/DAEs using the Taylor series method
    • Barrio R. Sensitivity analysis of ODEs/DAEs using the Taylor series method. SIAM J Sci Comput 27 6 (2006) 1929-1947
    • (2006) SIAM J Sci Comput , vol.27 , Issue.6 , pp. 1929-1947
    • Barrio, R.1
  • 34
    • 27544484059 scopus 로고    scopus 로고
    • VSVO formulation of the Taylor method for the numerical solution of ODEs
    • Barrio R., Blesa F., and Lara M. VSVO formulation of the Taylor method for the numerical solution of ODEs. Comput Math Appl 50 1-2 (2005) 93-111
    • (2005) Comput Math Appl , vol.50 , Issue.1-2 , pp. 93-111
    • Barrio, R.1    Blesa, F.2    Lara, M.3
  • 35
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • Yoshida H. Construction of higher order symplectic integrators. Phys Lett A 150 (1990) 262-268
    • (1990) Phys Lett A , vol.150 , pp. 262-268
    • Yoshida, H.1
  • 36
    • 0002519122 scopus 로고
    • The applicability of the third integral of motion: some numerical experiments
    • Hénon M., and Heiles C. The applicability of the third integral of motion: some numerical experiments. Astron J 69 (1964) 73-79
    • (1964) Astron J , vol.69 , pp. 73-79
    • Hénon, M.1    Heiles, C.2
  • 39
    • 0000471425 scopus 로고
    • Comparison of different methods for computing Lyapunov exponents
    • Geist K., Parlitz U., and Lauterborn W. Comparison of different methods for computing Lyapunov exponents. Progr Theor Phys 83 5 (1990) 875-893
    • (1990) Progr Theor Phys , vol.83 , Issue.5 , pp. 875-893
    • Geist, K.1    Parlitz, U.2    Lauterborn, W.3
  • 41
    • 0001795527 scopus 로고    scopus 로고
    • Geometrical constraints on finite-time Lyapunov exponents in two and three dimensions
    • Thiffeault J.-L., and Boozer A.H. Geometrical constraints on finite-time Lyapunov exponents in two and three dimensions. Chaos 11 1 (2001) 16-28
    • (2001) Chaos , vol.11 , Issue.1 , pp. 16-28
    • Thiffeault, J.-L.1    Boozer, A.H.2
  • 42
    • 0000543733 scopus 로고
    • A multiplicative Ergodoc theorem. Lyapunov characteristic numbers for dynamical systems
    • Osedelec V.I. A multiplicative Ergodoc theorem. Lyapunov characteristic numbers for dynamical systems. Trans Moscow Math Soc 19 (1968) 197-231
    • (1968) Trans Moscow Math Soc , vol.19 , pp. 197-231
    • Osedelec, V.I.1
  • 43
    • 0000252343 scopus 로고    scopus 로고
    • editor. Predictability I, ECWF Seminar, ECMWF, Reading, UK
    • Legras B, Vautard R. A guide to Lyapunov vectors. in: Palmer T, editor. Predictability (vol. I), ECWF Seminar, ECMWF, Reading, UK, 1996. p. 135-46.
    • (1996) A guide to Lyapunov vectors , pp. 135-146
    • Legras, B.1    Vautard, R.2
  • 44
    • 0003003083 scopus 로고
    • At least one Lyapunov exponent vanishes if the trajectory of an attractor does not contain a fixed point
    • Haken H. At least one Lyapunov exponent vanishes if the trajectory of an attractor does not contain a fixed point. Phys Lett A 94 2 (1983) 71-72
    • (1983) Phys Lett A , vol.94 , Issue.2 , pp. 71-72
    • Haken, H.1
  • 45
    • 36549100279 scopus 로고
    • Theory of the Lyapunov exponents of hamiltonian systems and a numerical study on the transition from regular to irregular classical motion
    • Meyer H.D. Theory of the Lyapunov exponents of hamiltonian systems and a numerical study on the transition from regular to irregular classical motion. J Chem Phys 84 (1986) 3147-3161
    • (1986) J Chem Phys , vol.84 , pp. 3147-3161
    • Meyer, H.D.1
  • 46
    • 0035685811 scopus 로고    scopus 로고
    • Geometric approach to Lyapunov analysis in Hamiltonian dynamics
    • 16
    • Yamaguchi Y.Y., and Iwai T. Geometric approach to Lyapunov analysis in Hamiltonian dynamics. Phys Rev E 64 (6, part 2) 3 (2001) 066206 16
    • (2001) Phys Rev E , vol.64 , Issue.6 PART 2 , pp. 066206
    • Yamaguchi, Y.Y.1    Iwai, T.2
  • 48
    • 35949037738 scopus 로고
    • Kolmogorov entropy and numerical experiments
    • Benettin G., Galgani L., and Strelcyn J.M. Kolmogorov entropy and numerical experiments. Phys Rev A 14 (1976) 2338-2345
    • (1976) Phys Rev A , vol.14 , pp. 2338-2345
    • Benettin, G.1    Galgani, L.2    Strelcyn, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.