Geodesic
The mathematical modeling of some aspects of cognitive recognition
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 1, pp. 33-38 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The approach and design of experimental studies on the visual perception of the spatially ambiguous objects is presented. A mathematical model of the cognitive recognition of ambiguous object (Necker cube) is developed on the basis of a combination of approaches of nonlinear dynamics and statistical evaluations. The theoretical model shows good agreement with experimental data.
Keywords: cognitive psychology; electroencephalography; simulation; bistable perception. 
@article{VTAMU_2017_22_1_a4,
     author = {A. E. Runnova and M. O. Zhuravlev and D. V. Lopatin},
     title = {The mathematical modeling of some aspects of cognitive recognition},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {33--38},
     year = {2017},
     volume = {22},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_1_a4/}
}
TY  - JOUR
AU  - A. E. Runnova
AU  - M. O. Zhuravlev
AU  - D. V. Lopatin
TI  - The mathematical modeling of some aspects of cognitive recognition
JO  - Vestnik rossijskih universitetov. Matematika
PY  - 2017
SP  - 33
EP  - 38
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VTAMU_2017_22_1_a4/
LA  - ru
ID  - VTAMU_2017_22_1_a4
ER  - 
%0 Journal Article
%A A. E. Runnova
%A M. O. Zhuravlev
%A D. V. Lopatin
%T The mathematical modeling of some aspects of cognitive recognition
%J Vestnik rossijskih universitetov. Matematika
%D 2017
%P 33-38
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/VTAMU_2017_22_1_a4/
%G ru
%F VTAMU_2017_22_1_a4
A. E. Runnova; M. O. Zhuravlev; D. V. Lopatin. The mathematical modeling of some aspects of cognitive recognition. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 1, pp. 33-38. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_1_a4/

[1] G. van Luijtelaar, A. Luttjohann, V. V. Makarov, V. A. Maksimenko, A. A. Koronovskii, A. E. Hramov, “Methods of automated absence seizure detection, interference bystimulation, and possibilities for prediction in genetic absence models”, Journal of Neuroscience Methods, 260 (2016), 144–158 | DOI

[2] A. A. Koronovskii, A. E. Hramov, V. V. Grubov, O. I. Moskalenko, E. Yu. Sitnikova, A. N. Pavlov, “Coexistence of intermittencies in the neuronal network of the epileptic brain”, Phys. Rev. E., 93 (2016), 032220 | DOI | MR

[3] O. I. Moskalenko, A. A. Koronovskiy, A. E. Khramov, M. O. Zhuravlev, “The estimation of degree of synchronicity of mode of intercalary phase synchronization in timing series (model systems and neurophisiology data)”, JETP Letters, 103:8 (2016), 606–610 (In Russian)

[4] A. N. Pavlov, A. E. Khramov, A. A. Koronovskiy, E. Yu. Sitnikova, V. A. Makarov, A. A. Ovchinnikov, “Wavelet analysis in neurodynamics”, Advances in Physical Sciences, 182:9 (2012), 905–939 (In Russian) | DOI

[5] J. M. G. Williams, F. N. Watts, C. M. MacLeod, A. Mathews, Cognitive psychology and emotional disorders, Wiley, Chichester, 1997, 404 pp.

[6] D. A. Clark, A. T. Beck, “Cognitive theory and therapy of anxiety and depression: convergence with neurobiological findings”, Trends in Cognitive Science, 14 (2010), 418–424 | DOI

[7] T. E. Robinson, K. C. Berridge, “Addiction”, Annu. Rev. Psychol., 54 (2003), 25–53 | DOI

[8] F. McManus, D. P. Glenn, P. Chadwick, “Biases in the processing of different forms of threat in bulimic and comparison women”, Journal of Nervous and Mental Disease, 184 (1986), 547–554 | DOI

[9] L. A. Necker, “Observations on some remarkable optical phaenomena seen in Switzerland; and on an optical phaenomenon which occurs on viewing a figure of a crystal or geometrical solid”, London and Edinburgh Philosophical Magazine and Journal of Science, 1:5 (1832), 229–338

[10] D. A. Leopold, N. K. Logothetis, “Multistage phenomena: changing views in perception”, Trends in Cognitive Sciences, 3 (1999), 254–264 | DOI

[11] P. Sterzer, A. Kleinschmidt, G. Rees, “The neural bases of multistable perception”, Trends Cogn. Sci., 13:7 (2009), 310–318 | DOI

[12] G. M. Long, T. C. Toppino, “Enduring interest in perceptual ambiguity: Alternating views of reversible figures”, Psychological Bulletin, 130:5 (2004), 748–768 | DOI

[13] A. N. Pisarchik, R. Jaimes-Reategui, C. D. A. Magallon-Garcia, C. O. CastilloMorales, “Critical slowing down and noise-induced intermittency in bistable perception: bifurcation analysis”, Biological Cybernetics, 108 (2014), 397 | DOI

[14] J. Kornmeier, C. M. Hein, M. Bach, “Multistable perception: When bottom-up and top-down coincide”, Brain and Cognition, 69:1 (2009), 138–147 | DOI

[15] A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, “Zero Lyapunov exponent in the vicinity of the saddle-node bifurcation point in the presence of noise”, Phys. Rev. E., 78 (2008), 036212 | DOI | MR

[16] A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, A. A. Ovchinnikov, S. Boccaletti, “Length distribution of laminar phases for type-I intermittency in the presence of noise”, Phys. Rev. E., 76:2 (2007), 026206 | DOI | MR

[17] A. A. Koronovskii, M. K. Kurovskaya, A. E. Khramov, S. A. Shurygina, “Vliyanie shuma na povedenie ostsillyatorov vblizi granitsy sinkhronizatsii”, ZhTF, 79:10 (2009), 1–9

[18] H. R. Wilson, “Computational evidence for a rivalry hierarchy in vision”, Proceedings of the National Academy of Sciences, 100 (2003), 14499 | DOI

[19] J. Wolberg, Data Analysis Using the Method of Least Squares: Extracting the Most Information from Experiments, SpringerVerlag, Berlin, 2006, 250 pp.

[20] V. V. Grubov, A. E. Runnova, M. K. Kurovskaya, A. N. Pavlov, A. A. Koronovskii, A. E. Hramov, “Demonstration of brain noise on human EEG signals in perception of bistable images”, Proc. SPIE, 9707 (2016), 970702

[21] A. E. Hramov, A. A. Koronovskii, V. A. Makarov, A. N. Pavlov, E. Yu. Sitnikova, Wavelets in Neuroscience, Springer-Verla, Heidelberg, 2015, 318 pp. | MR | Zbl