1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Enhancing dominant modes in nonstationary time series by means of the symbolic resonance analysis
Rent:
Rent this article for
USD
10.1063/1.2795434
/content/aip/journal/chaos/17/4/10.1063/1.2795434
http://aip.metastore.ingenta.com/content/aip/journal/chaos/17/4/10.1063/1.2795434

Figures

Image of FIG. 1.
FIG. 1.

Transient impulse responses (solid line), (dotted line) of the Duffing oscillator, Eq. (8) , and the ensemble averages , Eq. (2) , (dashed line) and their respective empirical standard deviations (dot-dashed line) from the mixtures, Eq. (1) , with noise level and mixture ratios (a) , (b) , (c) of the dominant mode .

Image of FIG. 2.
FIG. 2.

Symbolic dynamics, Eq. (4) , of (a) the symbolically encoded ensemble, Eq. (1) , from Fig. 1(c) with . Black pixels denote “0,” gray “1,” and white “2.” (b) The same ensemble after the mean-field transform, Eq. (7) .

Image of FIG. 3.
FIG. 3.

Symbol distributions (word statistics) (a) [Eq. (5) ] as relative column frequencies from the ensemble, Eq. (1) , shown in Fig. 2(a) , solid line: ; dotted line: ; dashed line: . (b) after the mean-field transform, Eq. (7) ; solid line: ; dashed line: [cf. Fig. 2(b) ].

Image of FIG. 4.
FIG. 4.

The relative frequency (dashed line) after the mean-field transform Eq. (7) in comparison to the corresponding functions of the dominant mode (solid line) and of the nondominant mode (dotted line) of Eq. (8) for the ensemble, Eq. (1) , with noise strength for mixture ratios: (a) , (b) , (c) .

Image of FIG. 5.
FIG. 5.

The relative frequency (dashed line) after the mean-field transform, Eq. (7) , in comparison to the corresponding functions of the dominant mode (solid line) and of the nondominant mode (dotted line) of Eq. (8) for the ensemble, Eq. (1) , with noise strength for mixture ratios: (a) , (b) , (c) .

Image of FIG. 6.
FIG. 6.

The relative frequency (dashed line) after the mean-field transform, Eq. (7) , in comparison to the corresponding functions of the dominant mode (solid line) and of the nondominant mode (dotted line) of Eq. (8) for the ensemble, Eq. (1) , with noise strength for mixture ratios: (a) , (b) , (c) .

Image of FIG. 7.
FIG. 7.

ERP voltage averages for the conditions (COR) (bold line) and (INC) (thin line) at nine electrodes. Time onset of the critical stimulus (the NPI) at . The N400 ERP component is indicated by the arrows. Waveforms are filtered with a low-pass filter for better visibility. According to an electrophysiological convention, negativity is plotted upwards.

Image of FIG. 8.
FIG. 8.

Relative frequencies of trials with beyond-threshold negative polarity (“0”s) obtained for the respective optimal encoding thresholds of the nine selected electrodes (see Table II ) after mean-field transform. Bold line: correct condition (COR); thin line: incorrect condition (INC). The N400 ERP component is indicated by the arrows. Waveforms are filtered with a low-pass filter for better visibility.

Image of FIG. 9.
FIG. 9.

Relative frequencies of trials with beyond-threshold positive polarity (“1”s) obtained for the respective optimal encoding thresholds of the nine selected electrodes (see Table II ) after mean-field transform. Bold line: correct condition (COR); thin line: incorrect condition (INC). The P600 ERP component is indicated by the arrows. Waveforms are filtered with a low-pass filter for better visibility.

Tables

Generic image for table
Table I.

Sample stimuli for each of the two experimental conditions. The critical words are printed in bold font.

Generic image for table
Table II.

Optimal encoding thresholds (in ) for the nine selected electrodes determined from the SNR of the two time windows I: 300– (N400) and II: 800– (P600).

Generic image for table
Table III.

Results of a repeated measures ANOVA for the mean ERPs. “SFN” stands for an effect due to the sentence final negativity.

Generic image for table
Table IV.

Results of a repeated measures ANOVA for the distributions of the symbol “0” obtained from the SRA for the optimal thresholds for window I and for the distributions of the symbol “1” obtained from the SRA for the optimal thresholds for window II. “SFN” stands for an effect due to the sentence final negativity while “P600” denotes an effect due to the P600.

Loading

Article metrics loading...

/content/aip/journal/chaos/17/4/10.1063/1.2795434
2007-10-19
2014-04-18
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Enhancing dominant modes in nonstationary time series by means of the symbolic resonance analysis
http://aip.metastore.ingenta.com/content/aip/journal/chaos/17/4/10.1063/1.2795434
10.1063/1.2795434
SEARCH_EXPAND_ITEM