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Results: 1 to 20 of 108

1.

Estimating the largest Lyapunov exponent and noise level from chaotic time series.

Yao TL, Liu HF, Xu JL, Li WF.

Chaos. 2012 Sep;22(3):033102.

PMID:
23020441
[PubMed]
2.

The largest Lyapunov exponent of chaotic dynamical system in scale space and its application.

Liu HF, Yang YZ, Dai ZH, Yu ZH.

Chaos. 2003 Sep;13(3):839-44.

PMID:
12946175
[PubMed]
3.

Time series analyses of breathing patterns of lung cancer patients using nonlinear dynamical system theory.

Tewatia DK, Tolakanahalli RP, Paliwal BR, Tomé WA.

Phys Med Biol. 2011 Apr 7;56(7):2161-81. doi: 10.1088/0031-9155/56/7/017. Epub 2011 Mar 9.

PMID:
21389355
[PubMed - indexed for MEDLINE]
4.

Distinguishing chaos from noise by scale-dependent Lyapunov exponent.

Gao JB, Hu J, Tung WW, Cao YH.

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Dec;74(6 Pt 2):066204. Epub 2006 Dec 13.

PMID:
17280136
[PubMed]
5.

A method of estimating the noise level in a chaotic time series.

Jayawardena AW, Xu P, Li WK.

Chaos. 2008 Jun;18(2):023115. doi: 10.1063/1.2903757.

PMID:
18601482
[PubMed - indexed for MEDLINE]
6.

Detecting chaos in a noisy time series.

Wilson HB, Rand DA.

Proc Biol Sci. 1993 Sep 22;253(1338):239-44.

PMID:
8234362
[PubMed - indexed for MEDLINE]
7.

Experimental realization of a multiscroll chaotic oscillator with optimal maximum Lyapunov exponent.

Tlelo-Cuautle E, Pano-Azucena AD, Carbajal-Gomez VH, Sanchez-Sanchez M.

ScientificWorldJournal. 2014;2014:303614. doi: 10.1155/2014/303614. Epub 2014 Apr 16.

PMID:
24883379
[PubMed - in process]
Free PMC Article
8.

Modified correlation entropy estimation for a noisy chaotic time series.

Jayawardena AW, Xu P, Li WK.

Chaos. 2010 Jun;20(2):023104. doi: 10.1063/1.3382013.

PMID:
20590300
[PubMed]
9.

Triggering and enhancing chaos with a prescribed target Lyapunov exponent using optimized perturbations of minimum power.

Soong CY, Huang WT.

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Mar;75(3 Pt 2):036206. Epub 2007 Mar 13.

PMID:
17500768
[PubMed]
10.

Noise-induced unstable dimension variability and transition to chaos in random dynamical systems.

Lai YC, Liu Z, Billings L, Schwartz IB.

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb;67(2 Pt 2):026210. Epub 2003 Feb 19.

PMID:
12636779
[PubMed]
11.

Chaotic dynamics of cardioventilatory coupling in humans: effects of ventilatory modes.

Mangin L, Clerici C, Similowski T, Poon CS.

Am J Physiol Regul Integr Comp Physiol. 2009 Apr;296(4):R1088-97. doi: 10.1152/ajpregu.90862.2008. Epub 2009 Feb 4.

PMID:
19193943
[PubMed - indexed for MEDLINE]
Free PMC Article
12.

Effect of noise on the relaxation to an invariant probability measure of nonhyperbolic chaotic attractors.

Anishchenko VS, Vadivasova TE, Kopeikin AS, Kurths J, Strelkova GI.

Phys Rev Lett. 2001 Jul 30;87(5):054101. Epub 2001 Jul 11.

PMID:
11497772
[PubMed - indexed for MEDLINE]
13.

Topology-based signal separation.

Robins V, Rooney N, Bradley E.

Chaos. 2004 Jun;14(2):305-16.

PMID:
15189058
[PubMed]
14.

Chaotic operation by a single transistor circuit in the reverse active region.

Hanias MP, Giannis IL, Tombras GS.

Chaos. 2010 Mar;20(1):013105. doi: 10.1063/1.3293133.

PMID:
20370260
[PubMed - indexed for MEDLINE]
15.

Heart rate time series: decreased chaos after intravenous lactate and increased non-linearity after isoproterenol in normal subjects.

Yeragani VK, Rao R, Jayaraman A, Pohl R, Balon R, Glitz D.

Psychiatry Res. 2002 Jan 31;109(1):81-92.

PMID:
11850054
[PubMed - indexed for MEDLINE]
16.

Correlation dimension and the largest Lyapunov exponent characterization of RR interval.

Lu HW, Chen YZ.

Space Med Med Eng (Beijing). 2003 Dec;16(6):396-9.

PMID:
15008187
[PubMed - indexed for MEDLINE]
17.

Effect of noise in a nonautonomous system of alternately excited oscillators with a hyperbolic strange attractor.

Jalnine AY, Kuznetsov SP.

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 2):036220. Epub 2008 Mar 26.

PMID:
18517498
[PubMed]
18.

Largest lyapunov-exponent estimation and selective prediction by means of simplex forecast algorithms

Dunki RM.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Nov;62(5 Pt A):6505-15.

PMID:
11101987
[PubMed - as supplied by publisher]
19.

Bootstrap estimates of chaotic dynamics.

Kostelich EJ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jul;64(1 Pt 2):016213. Epub 2001 Jun 18.

PMID:
11461373
[PubMed]
20.

Detecting phase synchronization in noisy data from coupled chaotic oscillators.

Sun J, Zhang J, Zhou J, Xu X, Small M.

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Apr;77(4 Pt 2):046213. Epub 2008 Apr 17.

PMID:
18517716
[PubMed]

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