Nonlinear dynamics, delay times, and embedding windows

Physica D: Nonlinear Phenomena - Tập 127 Số 1-2 - Trang 48-60 - 1999
H. S. Kim1, R. Eykholt2, José D. Salas3
1Department of Civil Engineering, Colorado State University, Fort Collins, CO 80523, USA
2Department of Physics, Colorado State University, Fort Collins, CO. 80523, USA
3Hydrologic Science and Engineering Program, Department of Civil Engineering, Colorado State University, Fort Collins, CO 80523, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Fraser, 1986, Phys. Rev., A, 33, 1134, 10.1103/PhysRevA.33.1134

A.A. Tsonis, Chaos: From Theory to Applications, Plenum Press, New York, 1992.

Packard, 1980, Phys. Rev. Lett., 45, 712, 10.1103/PhysRevLett.45.712

F. Takens, in: D.A. Rand, L.S. Young (Eds.), Dynamical Systems and Turbulence, Lecture Notes in Mathematics, vol. 898 Springer, Berlin, 1981, p. 336.

Casdagli, 1991, Physica D, 51, 52, 10.1016/0167-2789(91)90222-U

Rosenstein, 1994, Physica D, 73, 82, 10.1016/0167-2789(94)90226-7

Martinerie, 1992, Phys. Rev. A, 45, 7058, 10.1103/PhysRevA.45.7058

Broomhead, 1986, Physica D, 20, 217, 10.1016/0167-2789(86)90031-X

Mees, 1987, Phys. Rev. A, 36, 340, 10.1103/PhysRevA.36.340

Albano, 1988, Phys. Rev. A, 38, 3017, 10.1103/PhysRevA.38.3017

Kugiumtzis, 1996, Physica D, 95, 13, 10.1016/0167-2789(96)00054-1

W.A. Brock, D.A. Hsieh, B. LeBaron, Nonlinear Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence, MIT Press, Cambridge, MA, 1991.

Brock, 1996, Econ. Rev., 15, 197, 10.1080/07474939608800353

Grassberger, 1983, Phys. Rev. Lett., 50, 345, 10.1103/PhysRevLett.50.346

Grassberger, 1983, Physica D, 7, 153, 10.1016/0167-2789(83)90125-2

Denker, 1986, J. Stat. Phys., 44, 67, 10.1007/BF01010905

Lorenz, 1963, J. Atoms. Sci., 20, 130, 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2

Abarbanel, 1993, Rev. Mod. Phys., 65, 1331, 10.1103/RevModPhys.65.1331

Rabinovich, 1979, Sov. Phys. JETP, 50, 311

Rossler, 1976, Phys. Lett. A, 57, 397, 10.1016/0375-9601(76)90101-8