Analysis of Noise Influence on a Chaotic Series and Application of Filtering Techniques |
Choi, Min Ho
(경희대학교 토목건축공학부)
Lee, Eun Tae (경희대학교 토목건축공학부) Kim, Hung Soo (인하대학교 토목공학과) Kim, Soo Jun (인하대학교 공학대학원 토목공학과) |
1 | Bouzata, S., Wioa, H.S., and Mindlin, G.B. (2004) Characterization of spatiotemporal chaos in an inhomogeneous active medium, Physica D, 199, pp. 185-193. DOI ScienceOn |
2 | Brock, W.A., Heish, D.A., and Lebaron, B. (1991) Nonlinear dynamics, chaos, and instalbility: Statistical theory and economic evidence, The MIT Press. |
3 | Brock, W.A., Dechert, W.D., Scheinkman, J.A., and LeBaron, B. (1996) A test for independence based on the correlation dimension, Econ. Rev. |
4 | Casdagli, M. (1992) Chaos and deterministic versus stochastic nonlinear modeling, J. Roy. Stat. Soc. B, 54, pp. 303-324. |
5 | Gilmore, C.G. (1993) A New Test for chaos, Journal of Economic Behavior and Organization, Vol. 22. pp. 209-237. DOI ScienceOn |
6 | Greg, W. and Gary, B. (2001) An Introduction to the Kalman Filter, UNC-Chapel Hill, TR 95-041. |
7 | Hense, A. (1987) On the possible existence of a strange attractor for the southern oscillation, Beitr. Phys. Atmosph. Vol. 60, No. 1, pp. 34-47. |
8 | Jayawardena, A.W. and Lai, F. (1994) Analysis and prediction of chaos in rainfall and stream flow time series". J. Hydrol. Vol. 153, pp. 23-52. DOI |
9 | Kim, H.S. (1997) Applicability of chaotic system in hydrologic time series. Ph.D. Dissertation, Colorado State Univ., Fort Collins, Colorado, USA. |
10 | Kim, H.S., Eykholt, R., and Salas, J.D. (1998) Delay time window and plateau onset of the correlation dimension for small data sets, Physical Review E, Vol. 58, No. 5, pp. 5676-5682. DOI |
11 | Kim, H.S., Eykholt, R., and Salas, J.D. (1999) Nonlinear dynamics, delay times, and embedding windows, Physica D 127, pp. 48-60. DOI |
12 | Kim, H.S., Yoon, Y.N., Kim, J.H., and Kim, J.H. (2001) Searching for strange attractor in wastewater flow, Stochastic Environmental Research and Risk Assessment, Vol. 15, No. 5, pp. 399-413. DOI ScienceOn |
13 | Kim, H.S., Kang, D.S., and Kim, J.H. (2003) The BDS statistic and residual test", Stochastic Environmental Research and Risk Assessment, Vol. 17, pp. 104-115. DOI ScienceOn |
14 | May, R.M. (1976) Simple mathematical models with very complicated dynamics, Nature 261:459. DOI ScienceOn |
15 | Mindlin, G. and Gilmore, R. (1992) Topological analysis and synthesis of chaotic time series, Physica D 58, pp. 229-242. DOI ScienceOn |
16 | Porporato, A. and Ridolfi, L. (1996) Clues to the existence of deterministic chaos in river flow, Int. J. Mod. Phys. B 10, pp. 1821-1862. DOI ScienceOn |
17 | Porporato, A. and Ridolfi, L. (1997) Nonlinear analysis of river flow time sequences, Water Resour. Res. Vol. 33, No. 6, pp. 1353-1367. DOI ScienceOn |
18 | Rodriguez-Iturbe, I., Power, B.F.D., Sharifi, M.B., and Georgakakos, K.P. (1989) Chaos in Rainfall, Water resources Research, Vol. 25, No. 7, pp. 1667-1675. DOI |
19 | Sangoyormi, T.B., Lall, U., and Abarbanel, H.D.I. (1996) Nonlinear dynamics of the Great Salt Lake: dimension estimation, Water Resources Research. Vol. 32, No. 1. pp. 149-159. DOI |
20 | Schreiber, T. (1993) Extremely simple nonlinear noise-reduction method, Phys. Rev. E 47, pp. 2401-2404. DOI ScienceOn |
21 | Sharifi, M.B., Georgakakos, K.P., and Rodriguez-Iturbe, I. (1990) Evidence of deterministic chaos in the pulse of storm rainfall. J. Atmos. Sci. 47, pp. 888-893. DOI |
22 | Sivakumar, B., Liong, S.Y., and Liaw, C.Y. (1996) Analysis of Singapore rainfall characteristics: Chaos. In: Proceedings of the Tenth Congress of the Asian and Pacific Division of the International Association for Hydraulic Research, Langkawi, Malaysia. |
23 | Sivakumar, B., Liong, S.Y., and Liaw, C.Y. (1998). Evidence of chaotic behavior in Singapore rainfall. J. Am. Water Resour. Assoc. Vol. 34, No. 2, pp. 301-310. DOI ScienceOn |
24 | Takens, F. (1981) Detecting strange attractors in turbulence, In Dynamical Systems and Turbulence, Rand DA, Young LS (eds). Lecture Notes in Mathematics 898. Springer-Verlag: Berlin, Germany; pp. 366-381. |
25 | Sivakumar, B., Liong, S.Y., Liaw, C.Y., and Phoon, K.K. (1999) Singapore rainfall behavior: chaotic? J. Hydrol. Eng., ASCE, Vol. 4, No. 1, pp. 38-48. DOI ScienceOn |
26 | Sivakumar, B., Berndtsson, R., Persson, M., and Uvo, C.B. (2005) A multi-variable time series phase-space reconstruction approach to investigation of chaos in hydrological process, International Journal of Civil and Environmental Engineering, Vol. 1, No. 1, pp. 35-51. |
27 | Sivakumar, B., Jayawardena, A.W., and Li, W.K. (2007) Hydrologic complexity and classification: a simple data reconstruction approach, Hydological Processes, Vol. 21, pp. 2713-2728. DOI ScienceOn |
28 | Wilcox, B.P., Seyfried, M.S., and Matison, T.H. (1991) Searching for Chaotic Dynamics in Snow melt Runoff, Water resources Research. Vol. 27, No. 6, pp. 1005-1010. DOI |
29 | 오창열, 진영훈, 박성천, 정우철(2006) 하천의 일TOC 시계열 자료의 비선형 동역학적 거동 분석, 한국수자원학회 2006년도 학술발표회 논문집, 한국수자원학회, pp. 1032-1036. |
30 | 김형수, 윤용남(1996) 카오스의 위상학적 견지 : (II) 독립성과 잡음제거, 대한토목학회논문집, 대한토목학회, 제16권, 제II-5호, pp. 453-459. |
31 | 장권희, 김치영, 김수전, 김형수(2009) 자동유량측정 자료의 개선을 위한 필터링 방법의 적용, 한국수자원학회 2009년도 학술발표회 논문집, 한국수자원학회 |
32 | 장석곤(2002) Kalman Filter를 이용한 충주댐 유입량 예측기법의 결합, 석사학위논문, 서울대학교. |
33 | 최민호, 이은태, 김형수(2009) 카오스 시계열에 대한 잡음의 영향, 한국수자원학회논문집, 한국수자원학회, 제42권, 제4호, pp. 355-363. |
34 | Abraham, N.B. (1989) Chaotic behavior in systems; Nonlinear theories; Congresses, Plenum Press, Conference Proceedings p. 476. |