Recent Developments in Chaotic Time Series Analysis
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Nong Ye | Ying-Cheng Lai | Y. Lai | N. Ye | Nong Ye | Ying-Cheng Lai | Nong Ye
[1] Theiler,et al. Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.
[2] Ying-Cheng Lai,et al. MODELING OF COUPLED CHAOTIC OSCILLATORS , 1999 .
[3] Marvin E. Frerking. Digital signal processing in communication systems , 1994 .
[4] Celso Grebogi,et al. Strange saddles and the dimensions of their invariant-manifolds , 1988 .
[5] Christof Jung,et al. Hamiltonian scattering chaos in a hydrodynamical system , 1992 .
[6] Jonathan D. Cryer,et al. Time Series Analysis , 1986 .
[7] Tél,et al. Time-series analysis of transient chaos. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[8] Holger Kantz,et al. Repellers, semi-attractors, and long-lived chaotic transients , 1985 .
[9] David Ruelle,et al. OCCURRENCE OF STRANGE AXIOM A ATTRACTORS NEAR QUASI PERIODIC FLOWS ON TM, M IS GREATER THAN OR EQUAL TO 3 , 1978 .
[10] Ying-Cheng Lai,et al. Analytic signals and the transition to chaos in deterministic flows , 1998 .
[11] M. Rosenstein,et al. Reconstruction expansion as a geometry-based framework for choosing proper delay times , 1994 .
[12] Christof Jung,et al. Tracer dynamics in open hydrodynamical flows as chaotic scattering , 1994 .
[13] Ying-Cheng Lai,et al. CHARACTERIZATION OF THE NATURAL MEASURE BY UNSTABLE PERIODIC ORBITS IN CHAOTIC ATTRACTORS , 1997 .
[14] Procaccia,et al. Organization of chaos. , 1987, Physical review letters.
[15] Brown,et al. Computing the Lyapunov spectrum of a dynamical system from an observed time series. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[16] Y. Lai,et al. Analyses of transient chaotic time series. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[17] Frank Moss,et al. Detecting Low Dimensional Dynamics in Biological Experiments , 1996, Int. J. Neural Syst..
[18] Y C Lai,et al. Efficient algorithm for detecting unstable periodic orbits in chaotic systems. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[19] B. Hao,et al. Directions in chaos , 1987 .
[20] D Pingel,et al. Detecting unstable periodic orbits in chaotic continuous-time dynamical systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[21] Grebogi,et al. Detecting unstable periodic orbits in chaotic experimental data. , 1996, Physical review letters.
[22] Boualem Boashash,et al. Higher-order statistical signal processing , 1995 .
[23] Ott,et al. Fractal dimensions of chaotic saddles of dynamical systems. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[24] T. Carroll,et al. Discontinuous and nondifferentiable functions and dimension increase induced by filtering chaotic data. , 1996, Chaos.
[25] E. Ziemniak,et al. Application of scattering chaos to particle transport in a hydrodynamical flow. , 1993, Chaos.
[26] Peter Schmelcher,et al. Detecting Unstable Periodic Orbits of Chaotic Dynamical Systems , 1997 .
[27] William H. Press,et al. Numerical recipes , 1990 .
[28] Schuster,et al. Unstable periodic orbits and prediction. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[29] Guanrong Chen. Controlling Chaos and Bifurcations in Engineering Systems , 1999 .
[30] Edward Ott,et al. Controlling chaos , 2006, Scholarpedia.
[31] Ying-Cheng Lai,et al. Noise scaling of phase synchronization of chaos , 2000 .
[32] S. Hahn. Hilbert Transforms in Signal Processing , 1996 .
[33] Kurths,et al. Phase synchronization of chaotic oscillators. , 1996, Physical review letters.
[34] Moss,et al. Detecting periodic unstable points in noisy chaotic and limit cycle attractors with applications to biology. , 1995, Physical review letters.
[35] C Grebogi,et al. Unstable dimension variability in coupled chaotic systems. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[36] F. Takens,et al. Occurrence of strange AxiomA attractors near quasi periodic flows onTm,m≧3 , 1978 .
[37] E. Kostelich,et al. Characterization of an experimental strange attractor by periodic orbits. , 1989, Physical review. A, General physics.
[38] M. Hénon,et al. A two-dimensional mapping with a strange attractor , 1976 .
[39] Ying-Cheng Lai,et al. How often are chaotic saddles nonhyperbolic , 1993 .
[40] Ying-Cheng Lai,et al. CODING, CHANNEL CAPACITY, AND NOISE RESISTANCE IN COMMUNICATING WITH CHAOS , 1997 .
[41] J. Yorke,et al. Crises, sudden changes in chaotic attractors, and transient chaos , 1983 .
[42] R. Holzner,et al. Progress in the analysis of experimental chaos through periodic orbits , 1994 .
[43] Celso Grebogi,et al. Do numerical orbits of chaotic dynamical processes represent true orbits? , 1987, J. Complex..
[44] G. Benettin,et al. Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application , 1980 .
[45] Celso Grebogi,et al. Numerical orbits of chaotic processes represent true orbits , 1988 .
[46] Zoltán Toroczkai,et al. Advection of active particles in open chaotic flows , 1998 .
[47] Wenzel,et al. Characterization of unstable periodic orbits in chaotic attractors and repellers. , 1989, Physical review letters.
[48] Auerbach,et al. Exploring chaotic motion through periodic orbits. , 1987, Physical review letters.
[49] Pfister,et al. Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and local dynamical behavior of strange attractors. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[50] Collins,et al. Controlling nonchaotic neuronal noise using chaos control techniques. , 1995, Physical review letters.
[51] A. Fowler,et al. A correlation function for choosing time delays in phase portrait reconstructions , 1993 .
[52] Ying-Cheng Lai,et al. An upper bound for the proper delay time in chaotic time-series analysis , 1996 .
[53] Ying-Cheng Lai,et al. Controlling chaos , 1994 .
[54] J. Yorke,et al. Dimension of chaotic attractors , 1982 .
[55] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[56] Carroll,et al. Statistics for mathematical properties of maps between time series embeddings. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[57] L M Pecora,et al. Detecting functional relationships between simultaneous time series. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[58] W. Ditto,et al. Controlling chaos in the brain , 1994, Nature.
[59] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[60] S. Boccaletti,et al. The control of chaos: theory and applications , 2000 .
[61] Ying-Cheng Lai,et al. Counting unstable periodic orbits in noisy chaotic systems: A scaling relation connecting experiment with theory. , 1998, Chaos.
[62] Mw Hirsch,et al. Chaos In Dynamical Systems , 2016 .
[63] J. Yorke,et al. Fractal basin boundaries , 1985 .
[64] Edward Ott,et al. Chaotic scattering: An introduction. , 1993, Chaos.
[65] Lai,et al. Estimating generating partitions of chaotic systems by unstable periodic orbits , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[66] James A. Yorke,et al. SPURIOUS LYAPUNOV EXPONENTS IN ATTRACTOR RECONSTRUCTION , 1998 .
[67] Grebogi,et al. Plateau onset for correlation dimension: When does it occur? , 1993, Physical review letters.
[68] Grebogi,et al. Fractal boundaries in open hydrodynamical flows: Signatures of chaotic saddles. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[69] Zoltán Toroczkai,et al. Finite-size effects on active chaotic advection. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[70] G. Arfken. Mathematical Methods for Physicists , 1967 .
[71] Ying-Cheng Lai,et al. Characterization of the natural measure by unstable periodic orbits in nonhyperbolic chaotic systems , 1997 .
[72] Ying-Cheng Lai,et al. PHASE CHARACTERIZATION OF CHAOS , 1997 .
[73] Bailin Hao. Experimental study and characterization of chaos , 1990 .
[74] K. Pawelzik,et al. Optimal Embeddings of Chaotic Attractors from Topological Considerations , 1991 .
[75] N. Huang,et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[76] J. Yorke,et al. CHAOTIC ATTRACTORS IN CRISIS , 1982 .
[77] Lawrence Sirovich,et al. A simple model of chaotic advection and scattering. , 1995, Chaos.
[78] G. Mindlin,et al. Classification of strange attractors by integers. , 1990, Physical review letters.
[79] Hiroki Hata,et al. On Partial Dimensions and Spectra of Singularities of Strange Attractors , 1987 .
[80] Stuart Allie,et al. Finding periodic points from short time series , 1997 .
[81] James A. Yorke,et al. A procedure for finding numerical trajectories on chaotic saddles , 1989 .
[82] F. Takens,et al. On the nature of turbulence , 1971 .
[83] F. Takens. Detecting strange attractors in turbulence , 1981 .
[84] Tamás Tél,et al. Chaotic tracer scattering and fractal basin boundaries in a blinking vortex-sink system , 1997 .
[85] F. Westall,et al. Digital signal processing in telecommunications , 1993 .
[86] Hie-Tae Moon. TWO-FREQUENCY MOTION TO CHAOS WITH FRACTAL DIMENSION D > 3 , 1997 .
[87] 秦 浩起,et al. Characterization of Strange Attractor (カオスとその周辺(基研長期研究会報告)) , 1987 .
[88] C Grebogi,et al. Chemical or biological activity in open chaotic flows. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[89] James P. Crutchfield,et al. Geometry from a Time Series , 1980 .
[90] Louis M. Pecora,et al. Detecting Chaotic Drive-Response Geometry in generalized Synchronization , 2000, Int. J. Bifurc. Chaos.
[91] Hassan Aref,et al. Chaotic advection by laminar flow in a twisted pipe , 1989, Journal of Fluid Mechanics.
[92] Grebogi,et al. Unstable periodic orbits and the dimensions of multifractal chaotic attractors. , 1988, Physical review. A, General physics.
[93] P. Grassberger,et al. Characterization of Strange Attractors , 1983 .
[94] Y. Lai,et al. Effective scaling regime for compution the correlating dimension from chaotic time series , 1998 .
[95] Peter Schmelcher,et al. SYSTEMATIC COMPUTATION OF THE LEAST UNSTABLE PERIODIC ORBITS IN CHAOTIC ATTRACTORS , 1998 .
[96] Grebogi,et al. Shadowing of physical trajectories in chaotic dynamics: Containment and refinement. , 1990, Physical review letters.
[97] D. Ruelle,et al. Ergodic theory of chaos and strange attractors , 1985 .
[98] Mehmet Emre Çek,et al. Analysis of observed chaotic data , 2004 .
[99] P. Grassberger,et al. Measuring the Strangeness of Strange Attractors , 1983 .
[100] O. Rössler. An equation for continuous chaos , 1976 .
[101] Peter Schmelcher,et al. GENERAL APPROACH TO THE LOCALIZATION OF UNSTABLE PERIODIC ORBITS IN CHAOTIC DYNAMICAL SYSTEMS , 1998 .
[102] Boualem Boashash,et al. Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals , 1992, Proc. IEEE.
[103] H. Greenside,et al. Spatially localized unstable periodic orbits of a high-dimensional chaotic system , 1998 .
[104] James A. Yorke,et al. Reconstructing the Jacobian from Data with Observational Noise , 1999 .
[105] Yuri Okunev. Phase and Phase-Difference Modulation in Digital Communications , 1997 .
[106] Eckmann,et al. Liapunov exponents from time series. , 1986, Physical review. A, General physics.
[107] Lai,et al. Detecting unstable periodic orbits from transient chaotic time series , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[108] Ying-Cheng Lai,et al. Towards complete detection of unstable periodic orbits in chaotic systems , 2001 .
[109] Ying-Cheng Lai,et al. Super Persistent Chaotic Transients in Physical Systems: Effect of noise on phase Synchronization of Coupled Chaotic oscillators , 2001, Int. J. Bifurc. Chaos.
[110] Jürgen Kurths,et al. Modeling of deterministic chaotic systems , 1999 .
[111] A. Roshko. On the problem of turbulence , 2000 .
[112] Celso Grebogi,et al. Computing the measure of nonattracting chaotic sets , 1997 .
[113] A Garfinkel,et al. Controlling cardiac chaos. , 1992, Science.
[114] Celso Grebogi,et al. Extracting unstable periodic orbits from chaotic time series data , 1997 .
[115] E. Bedrosian. A Product Theorem for Hilbert Transforms , 1963 .
[116] Sawada,et al. Measurement of the Lyapunov spectrum from a chaotic time series. , 1985, Physical review letters.
[117] Grebogi,et al. Obstructions to shadowing when a Lyapunov exponent fluctuates about zero. , 1994, Physical review letters.
[118] Edward Ott,et al. Calculating topological entropies of chaotic dynamical systems , 1991 .
[119] W. FL Young,et al. Shear dispersion , 1999 .
[120] U. Parlitz,et al. Lyapunov exponents from time series , 1991 .
[121] H. Schuster,et al. Proper choice of the time delay for the analysis of chaotic time series , 1989 .
[122] Frank Moss,et al. Characterization of low-dimensional dynamics in the crayfish caudal photoreceptor , 1996, Nature.
[123] J. A. Stewart,et al. Nonlinear Time Series Analysis , 2015 .