© 2018 ФГБОУ ВО МГППУ «Московский государственный психолого-педагогический университет» © 2018 Moscow State University of Psychology & Education E-journal «Journal of Modern Foreign Psychology» 2018, vol. 7, no. 2, pp. 90—99. doi: 10.17759/jmfp.2018070209 ISSN: 2304-4977 (online) Электронный журнал «Современная зарубежная психология» 2018. Том 7. No 2. С. 90—99. doi: 10.17759/jmfp.2018070209 ISSN: 2304-4977 (online)

Анализ конструктивно-технологических ограничений при проектировании лавинных фотодиодов, работающих в режиме счета фотонов

Chaotic Quantization of Field Theories Chaotic Strings Vacuum Energy of Chaotic Strings Phase Transitions and Spontaneous Symmetry Breaking Generalized Statistical Mechanics Approach Interaction Energy of Chaotic Strings Self Energy of Chaotic Strings Total Vacuum Energy of Chaotic Strings Grand Unification 11-Dimensional Space-Time and Quantum Gravity Summary.

Spatio Temporal Chaos and Vacuum Fluctuations of Quantized Fields

We study the synchronization of coupled maps on a variety of networks including regular one- and two-dimensional networks, scale-free networks, small world networks, tree networks, and random networks. For small coupling strengths nodes show turbulent behavior but form phase synchronized clusters as coupling increases. When nodes show synchronized behavior, we observe two interesting phenomena. First, there are some nodes of the floating type that show intermittent behavior between getting attached to some clusters and evolving independently. Second, we identify two different ways of cluster formation, namely self-organized clusters which have mostly intracluster couplings and driven clusters which have mostly intercluster couplings. The synchronized clusters may be of dominant self-organized type, dominant driven type, or mixed type depending on the type of network and the parameters of the dynamics. We define different states of the coupled dynamics by considering the number and type of synchronized clusters. For the local dynamics governed by the logistic map we study the phase diagram in the plane of the coupling constant $(ϵ)$ and the logistic map parameter $(\ensuremath{\mu})$. For large coupling strengths and nonlinear coupling we find that the scale-free networks and the Caley tree networks lead to better cluster formation than the other types of networks with the same average connectivity. For most of our study we use the number of connections of the order of the number of nodes. As the number of connections increases the number of nodes forming clusters and the size of the clusters in general increase.

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Synchronized clusters in coupled map networks. I. Numerical studies.

The synchronization of the star-shaped networks are investigated using linear stability analysis. Three different cases of simple-center node or multi-center nodes with Logistic map couplings are discussed and the stability conditions for synchronization are given. The main results are illustrated via a network of eight nodes with four centers.

Complete synchronization and stability of star-shaped complex networks

Sudden Shifts in Ecological Systems: Intermittency and Transients in the Coupled Ricker Population Model

We consider the stability properties of spatial and temporal periodic orbits of one-dimensional coupled-map lattices. The stability matrices for them are of the block-circulant form. This helps us to reduce the problem of stability of spatially periodic orbits to the smaller orbits corresponding to the building blocks of spatial periodicity, enabling us to obtain the conditions for stability in terms of those for smaller orbits.

https://dyuthi.cusat.ac.in/xmlui/bitstream/handle/purl/2537/Dyuthi-P0112.pdf?sequence=1

Stability of periodic orbits of coupled-map lattices

We introduce the definitions of generalized dimensions for fractal sets characterized by logarithmic and additive corrections to the measure. The definitions are simple to compute. This framework is used to analyze several classes of sets with partial scaling symmetry. This includes an important class of sets having scaling symmetry with respect to a fixed point. We give two important physical examples of the above class where our analysis is useful.

Dimensional characterization of sets with partial scaling symmetry

We have studied the effect of fluctuations on multifractals. Averaging over the fluctuations leads to an additive correction to the measure, i.e., to a metadimension. This effect is particularly important at the crossover point where the generalized dimension changes sharply.

A. D. Gangal

Papers

Stability of periodic orbits of coupled-map lattices

Dimensional characterization of sets with partial scaling symmetry

Effect of fluctuations on multifractals