Tatyana Vadivasova
Chernyshevsky National Research State University of Saratov
Institute of Physics, Chair of Radiophysics and Nonlinear Dynamics
Born: 06.11.1958
1981: Specialist diploma in Radiophysics, Saratov State University
1986: Ph.D in Radiophysics, Saratov State University
2002: Doctor of Sciences in Radiophysics, Saratov State University
19811983: Engineer, Saratov State University
19831986: PostGraduate student, Saratov State University
19861988: Engineer, Saratov State University
19881998: Assistant, Associate Professor, Saratov State University
19982001: a doctoral student, Saratov State University
20012003: Associate Professor of Saratov State University
2003 to present Professor of Saratov State University
Publications:
Nikishina N. N., Rybalova E. V., Strelkova G. I., Vadivasova T. E.
Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noisemodulated Nonlocal Coupling
2022, vol. 27, no. 2, pp. 242251
Abstract
We study numerically the spatiotemporal dynamics of a ring network of nonlocally
coupled logistic maps when the coupling strength is modulated by colored Gaussian noise. Two
cases of noise modulation are considered: 1) when the coupling coefficients characterizing the
influence of neighbors on different elements are subjected to independent noise sources, and 2)
when the coupling coefficients for all the network elements are modulated by the same stochastic
signal. Without noise, the ring of chaotic maps exhibits a chimera state. The impact of noisemodulated
coupling between the ring elements is explored when the parameter, which controls
the correlation time and the spectral width of colored noise, and the noise intensity are varied.
We investigate how the spatiotemporal structures observed in the ring evolve as the noise
parameters change. The numerical results obtained are used to construct regime diagrams for
the two cases of noise modulation. Our findings show the possibility of controlling the spatial
structures in the ring in the presence of noise. Depending on the type of noise modulation, the
spectral properties and intensity of colored noise, one can suppress the incoherent clusters of
chimera states, and induce the regime of solitary states or synchronize chaotic oscillations of
all the ring elements.

Strelkova G. I., Vadivasova T. E., Anishchenko V. S.
Synchronization of Chimera States in a Network of Many Unidirectionally Coupled Layers of Discrete Maps
2018, vol. 23, nos. 78, pp. 948960
Abstract
We study numerically external synchronization of chimera states in a network of many unidirectionally coupled layers, each representing a ring of nonlocally coupled discretetime systems. The dynamics of each element in the network is described by either the logistic map or the bistable cubic map. We consider two cases: when all $M$ unidirectionally coupled layers are identical and when $(M  1)$ identical layers differ from the first driving layer in their nonlocal coupling parameters. It is shown that the master chimera state in the first layer can be retranslating along the network with small distortions which are defined by a parameter mismatch. We also analyze the dependence of the meansquare deviation of the structure in the ith layer on the nonlocal coupling parameters.

Bukh A. V., Slepnev A. V., Anishchenko V. S., Vadivasova T. E.
Stability and Noiseinduced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps
2018, vol. 23, no. 3, pp. 325338
Abstract
The influence of noise on chimera states arising in ensembles of nonlocally coupled chaotic maps is studied. There are two types of chimera structures that can be obtained in such ensembles: phase and amplitude chimera states. In this work, a series of numerical experiments is carried out to uncover the impact of noise on both types of chimeras. The noise influence on a chimera state in the regime of periodic dynamics results in the transition to chaotic dynamics. At the same time, the transformation of incoherence clusters of the phase chimera to incoherence clusters of the amplitude chimera occurs. Moreover, it is established that the noise impact may
result in the appearance of a cluster with incoherent behavior in the middle of a coherence cluster.

Anishchenko V. S., Astakhov S. V., Vadivasova T. E.
Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy
2010, vol. 15, nos. 23, pp. 261273
Abstract
In this paper we summarize and substantiate the relative metric entropy approach introduced in our previous papers [1,2]. Using this approach we study the mixing influence of noise on both regular and chaotic systems. We show that the synchronization phenomenon as well as stochastic resonance decrease, the degree of mixing is caused by white Gaussian noise.
