Generalized synchronization in mutually coupled oscillators and complex networks

OI Moskalenko, AA Koronovskii, AE Hramov… - Physical Review E …, 2012 - APS
We introduce a concept of generalized synchronization, able to encompass the setting of
collective synchronized behavior for mutually coupled systems and networking systems …

On multistability near the boundary of generalized synchronization in unidirectionally coupled chaotic systems

OI Moskalenko, AA Koronovskii, AO Selskii… - … Journal of Nonlinear …, 2021 - pubs.aip.org
Multistability in the intermittent generalized synchronization regime in unidirectionally
coupled chaotic systems has been found. To study such a phenomenon, the method for …

Experimental observation of ultrashort hyperchaotic dark multisoliton complexes in a magnonic active ring resonator

AS Bir, SV Grishin, OI Moskalenko, AN Pavlov… - Physical Review Letters, 2020 - APS
We report on the self-generation of ultrashort hyperchaotic dark multisoliton sequences with
two positive large Lyapunov exponents in an active ring resonator consisting of a …

Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map

H Gritli, S Belghith - Chaos, Solitons & Fractals, 2015 - Elsevier
This paper aims at providing a numerical calculation method of the spectrum of Lyapunov
exponents in a four-dimensional impulsive hybrid nonlinear dynamics of a passive compass …

Nonlinear dynamics of a buoyancy-induced turbulent fire

K Takagi, H Gotoda, IT Tokuda, T Miyano - Physical Review E, 2017 - APS
We conduct a numerical study on the dynamic behavior of a buoyancy-induced turbulent fire
from the viewpoints of symbolic dynamics, complex networks, and statistical complexity …

Appearance of chaos and hyperchaos in evolving pendulum network

VO Munyaev, DS Khorkin, MI Bolotov… - … Journal of Nonlinear …, 2021 - pubs.aip.org
The study of deterministic chaos continues to be one of the important problems in the field of
nonlinear dynamics. Interest in the study of chaos exists both in low-dimensional dynamical …

Peculiarities of generalized synchronization in unidirectionally and mutually coupled time-delayed systems

OI Moskalenko, AA Koronovskii, AD Plotnikova - Chaos, Solitons & Fractals, 2021 - Elsevier
Generalized synchronization in unidirectionally and mutually coupled time-delayed systems
has been studied. For the analysis of such regime the method for calculation of Lyapunov …

[HTML][HTML] Nonlinear dynamics and bifurcation mechanisms in intense electron beam with virtual cathode

NS Frolov, SA Kurkin, AA Koronovskii, AE Hramov - Physics Letters A, 2017 - Elsevier
In this paper we report on the results of investigations of nonlinear dynamics and bifurcation
mechanisms in intense electron beam with virtual cathode in micrometer-scaled source of …

Route to hyperchaos in Rayleigh-Bénard convection

R Chertovskih, EV Chimanski, EL Rempel - Europhysics Letters, 2015 - iopscience.iop.org
Transition to hyperchaotic regimes in Rayleigh-Bénard convection in a square periodicity
cell is studied by three-dimensional numerical simulations. By fixing the Prandtl number at …

Crisis and hyperchaos in a simplified model of magnetoconvection

FF Franco, EL Rempel, PR Munoz - Physica D: Nonlinear Phenomena, 2020 - Elsevier
In this work, a numerical study of a reduced model of magnetoconvection is presented. By
considering a background magnetic field in a conducting fluid in a plane layer, a …