Survey of recent applications of the chaotic lozi map
R Lozi - Algorithms, 2023 - mdpi.com
Since its original publication in 1978, Lozi's chaotic map has been thoroughly explored and
continues to be. Hundreds of publications have analyzed its particular structure and applied …
continues to be. Hundreds of publications have analyzed its particular structure and applied …
Chimera patterns in networks
A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …
particular, on nonlinear dynamics, network science, and statistical physics with applications …
Solitary states and solitary state chimera in neural networks
We investigate solitary states and solitary state chimeras in a ring of nonlocally coupled
systems represented by FitzHugh-Nagumo neurons in the oscillatory regime. We perform a …
systems represented by FitzHugh-Nagumo neurons in the oscillatory regime. We perform a …
Multiplexing noise induces synchronization in multilayer networks
EV Rybalova, TE Vadivasova, GI Strelkova… - Chaos, Solitons & …, 2022 - Elsevier
We study numerically the spatio-temporal behavior of a two-layer multiplex network of
bistable cubic maps when the interlayer coupling is modulated by noise. We refer to this …
bistable cubic maps when the interlayer coupling is modulated by noise. We refer to this …
Interplay between solitary states and chimeras in multiplex neural networks
We study numerically the spatiotemporal dynamics and synchronization of a heterogeneous
two-layer multiplex network where each layer is represented by a ring of nonlocally coupled …
two-layer multiplex network where each layer is represented by a ring of nonlocally coupled …
Solitary states in multiplex neural networks: Onset and vulnerability
L Schülen, DA Janzen, ES Medeiros… - Chaos, Solitons & …, 2021 - Elsevier
We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …
Transition from chimera/solitary states to traveling waves
We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …
Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps
We study relay and complete synchronization in a heterogeneous triplex network of discrete-
time chaotic oscillators. A relay layer and two outer layers, which are not directly coupled but …
time chaotic oscillators. A relay layer and two outer layers, which are not directly coupled but …
Control of inter-layer synchronization by multiplexing noise
TE Vadivasova, AV Slepnev… - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
We study the synchronization of spatio–temporal patterns in a two-layer network of coupled
chaotic maps, where each layer is represented by a nonlocally coupled ring. In particular …
chaotic maps, where each layer is represented by a nonlocally coupled ring. In particular …
Controlling chimera and solitary states by additive noise in networks of chaotic maps
We study numerically the spatio-temporal dynamics of ring networks of coupled discrete-
time systems in the presence of additive noise. The robustness of chimera states with …
time systems in the presence of additive noise. The robustness of chimera states with …