Springer series in synergetics, Journal Year: 2022, Volume and Issue: unknown, P. 199 - 253
Published: Jan. 1, 2022
Language: Английский
Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 182, P. 114820 - 114820
Published: April 8, 2024
Language: Английский
Citations
9
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(2)
Published: Feb. 1, 2024
A class of adaptation functions is found for which a synchronous mode with different number phase clusters exists in network oscillators triadic couplings. This implemented fairly wide range initial conditions and the maximum four. The joint influence coupling strength parameters on synchronization has been studied. desynchronization transition under variation parameter occurs abruptly begins highest-frequency oscillator, spreading hierarchically to all other elements.
Language: Английский
Citations
4
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2023, Volume and Issue: 33(9)
Published: Sept. 1, 2023
The activity in the brain cortex remarkably shows a simultaneous presence of robust collective oscillations and neuronal avalanches, where intermittent bursts pseudo-synchronous spiking are interspersed with long periods quiescence. mechanisms allowing for such coexistence still matter an intensive debate. Here, we demonstrate that avalanche patterns can emerge rather simple model array diffusively coupled neural oscillators multiple timescale local dynamics vicinity canard transition. avalanches coexist fully synchronous state units perform relaxation oscillations. We show mechanism behind is based on inhibitory effect interactions, which may quench due to interplay maximal canard. bears certain heralds criticality, including scale-invariant distributions event sizes. Furthermore, system increased sensitivity perturbations, manifested as critical slowing down reduced resilience.
Language: Английский
Citations
10
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(4)
Published: April 1, 2024
We explore numerically how additive Lévy noise influences the spatiotemporal dynamics of a neural network nonlocally coupled FitzHugh–Nagumo oscillators. Without noise, can exhibit various partial or cluster synchronization patterns, such as chimera and solitary states, which also coexist in for certain values control parameters. Our studies show that these structures demonstrate different responses to and, thus, be effectively controlled by varying scale parameter stability index noise. Specifically, introducing multistability mode increase probability observing states while suppressing states. Nonetheless, decreasing enables one diminish effect on amplify it
Language: Английский
Citations
3
Chaos Solitons & Fractals, Journal Year: 2023, Volume and Issue: 169, P. 113235 - 113235
Published: Feb. 13, 2023
Language: Английский
Citations
7
Physics Letters A, Journal Year: 2023, Volume and Issue: 494, P. 129302 - 129302
Published: Dec. 26, 2023
Language: Английский
Citations
7
Physical Review Research, Journal Year: 2024, Volume and Issue: 6(4)
Published: Nov. 5, 2024
The master stability function is a robust and useful tool for determining the conditions of synchronization in network coupled systems. While comprehensive classification exists case which nodes are chaotic dynamical systems, its application to periodic systems has been less explored. By studying several well-known we establish framework understand classify their properties synchronizability. This allows us define five distinct classes stability, including some that unique Specifically, vanishes at origin, it can therefore display behavioral not achievable where starts, instead, strictly positive value. Moreover, our results challenge widely held belief easily put stable synchronous state, showing, common occurrence lower threshold stability. Published by American Physical Society 2024
Language: Английский
Citations
2
The Journal of Difference Equations and Applications, Journal Year: 2022, Volume and Issue: 29(9-12), P. 909 - 930
Published: Sept. 12, 2022
We study numerically the spatio-temporal dynamics of ring networks coupled discrete-time systems in presence additive noise. The robustness chimera states with respect to noise perturbations is explored for two ensembles which individual elements are described by either logistic maps or Henon chaotic regime. influence on behavior solitary investigated a nonlocally Lozi maps. Numerical simulations performed set different realizations and random initial conditions provide reliable statistical data. type considered quantified using cross-correlation coefficient. find that there finite sufficiently wide region coupling strength intensity where probability observing chimeras high.
Language: Английский
Citations
10
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2022, Volume and Issue: 32(2)
Published: Feb. 1, 2022
We study numerically the impact of heterogeneity in parameters on dynamics nonlocally coupled discrete-time systems, which exhibit solitary states along transition from coherence to incoherence. These partial synchronization patterns are described as when single or several elements demonstrate different compared with behavior other a network. Using an example ring network Lozi maps, we explore robustness local coupling strength. It is found that if these continuously modulated by noise, suppressed noise intensity increases. However, may persist case static randomly distributed system for wide range distribution width. Domains state existence constructed parameter plane strength and using cross-correlation coefficient.
Language: Английский
Citations
9
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2022, Volume and Issue: 32(10)
Published: Oct. 1, 2022
We report the emergence of peculiar chimera states in networks identical pendula with global phase-lagged coupling. The reported include both rotating and quiescent modes, i.e., non-zero zero average frequencies. This kind mixed-mode chimeras may be interpreted as images bump known neuroscience context modeling working memory. illustrate this striking phenomenon for a network N = 100 coupled pendula, followed by detailed description minimal non-trivial case 3. Parameter regions five characteristic types system behavior are identified, which consist two one classical weak all three rotating, synchronous rotation, state. dynamics is multistable: up to four can coexist phase state demonstrated through basins attraction. analysis suggests that robust generically describe complex diverse pendula-like systems widespread nature.
Language: Английский
Citations
8