Chimeras

F Parastesh, S Jafari, H Azarnoush, Z Shahriari… - Physics Reports, 2021 - Elsevier
Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …

Higher-order interactions promote chimera states

S Kundu, D Ghosh - Physical Review E, 2022 - APS
Since the discovery of chimera states, the presence of a nonzero phase lag parameter turns
out to be an essential attribute for the emergence of chimeras in a nonlocally coupled …

[HTML][HTML] Synchronization and chimera states in the network of electrochemically coupled memristive Rulkov neuron maps

M Mehrabbeik, F Parastesh, J Ramadoss… - Mathematical …, 2021 - aimspress.com
Map-based neuronal models have received much attention due to their high speed,
efficiency, flexibility, and simplicity. Therefore, they are suitable for investigating different …

Transition from chimera/solitary states to traveling waves

E Rybalova, S Muni, G Strelkova - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
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 …

Review of sample-based methods used in an analysis of multistable dynamical systems

M Leszczyński, P Perlikowski, T Burzyński… - … Journal of Nonlinear …, 2022 - pubs.aip.org
Sample-based methods are a useful tool in analyzing the global behavior of multi-stable
systems originating from various branches of science. Classical methods, such as …

Transient chaos enforces uncertainty in the British power grid

L Halekotte, A Vanselow, U Feudel - Journal of Physics …, 2021 - iopscience.iop.org
Multistability is a common phenomenon which naturally occurs in complex networks. If
coexisting attractors are numerous and their basins of attraction are complexly interwoven …

Identification of single-and double-well coherence–incoherence patterns by the binary distance matrix

V dos Santos, MR Sales, SS Muni… - … in Nonlinear Science …, 2023 - Elsevier
The study of chimera states or, more generally, coherence–incoherence patterns has led to
the development of several tools for their identification and characterization. In this work, we …

Critical visit to the chimera world

MA Ferré - Chaos, Solitons & Fractals, 2023 - Elsevier
Chimera states correspond to a spatiotemporal phenomenon that accounts for the
coexistence between coherence and incoherence dynamics in homogeneous systems …

[HTML][HTML] Chaos: From theory to applications for the 80th birthday of Otto E. Rössler

C Letellier, LF Olsen, S Mangiarotti - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
Chaos. A simple word but by no means a simple concept. Traditionally, as in the Bible,
chaos designates the initial states of the world before its organization by “God.” It arises from …

Global Dynamics and Bifurcations of an Oscillator with Symmetric Irrational Nonlinearities

R Liu, H Shang - Fractal and Fractional, 2023 - mdpi.com
This study's objective is an irrationally nonlinear oscillating system, whose bifurcations and
consequent multi-stability under the circumstances of single potential well and double …