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May 20, 2026
HSE University Opens First Representative Office of Satellite Laboratory in Brazil
HSE University-St Petersburg opened a representative office of the Satellite Laboratory on Social Entrepreneurship at the University of Campinas in Brazil. The platform is going to unite research and educational projects in the spheres of sustainable development, communications and social innovations.
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Preserving Rationality in a Period of Turbulence
The HSE International Laboratory for Logic, Linguistics and Formal Philosophy studies logic and rationality in a transformed world characterised by a diversity of logical systems and rational agents. The laboratory supports and develops academic ties with Russian and international partners. The HSE News Service spoke with the head of the laboratory, Prof. Elena Dragalina-Chernaya, about its work.

 

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Coupled systems with quasi-periodic and chaotic dynamics

Chaos, Solitons and Fractals. 2023. Vol. 169. Article 113278.
Kuznetsov A. P., Sedova Y. V., Stankevich N.

The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Rossler  system is studied. We have shown that with the growth of the coupling, regimes of two-frequency and three-frequency quasiperiodicity, a periodic regime and a regime of oscillation death sequentially arise. With a small coupling strength, doubling bifurcations of three-frequency tori are observed in the system. A chaotic regime, characterized by two additional zero Lyapunov exponents in spectrum, is revealed. Two-parameter Lyapunov exponent analysis and bifurcation analysis are presented. A new bifurcation scenario of transition from the regime of oscillation death to quasi-periodicity in coupled systems is described.

Research target: Mathematics
Language: English
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Keywords: показатели ЛяпуноваLyapunov exponentsсистема Ресслераdynamical chaosдинамический хаосRossler systemквазипериодические колебанияquasi-periodic oscillations
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