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 …
Phase tip**: how cyclic ecosystems respond to contemporary climate
We identify the phase of a cycle as a new critical factor for tip** points (critical transitions)
in cyclic systems subject to time-varying external conditions. As an example, we consider …
in cyclic systems subject to time-varying external conditions. As an example, we consider …
Scale-free avalanches in arrays of FitzHugh–Nagumo oscillators
The activity in the brain cortex remarkably shows a simultaneous presence of robust
collective oscillations and neuronal avalanches, where intermittent bursts of pseudo …
collective oscillations and neuronal avalanches, where intermittent bursts of pseudo …
Transient chaos enforces uncertainty in the British power grid
Multistability is a common phenomenon which naturally occurs in complex networks. If
coexisting attractors are numerous and their basins of attraction are complexly interwoven …
coexisting attractors are numerous and their basins of attraction are complexly interwoven …
[HTML][HTML] Long-living transients in ecological models: Recent progress, new challenges, and open questions
Traditionally, mathematical models in ecology placed an emphasis on asymptotic, long-term
dynamics. However, a large number of recent studies highlighted the importance of transient …
dynamics. However, a large number of recent studies highlighted the importance of transient …
The impact of chaotic saddles on the synchronization of complex networks of discrete-time units
A chaotic saddle is a common nonattracting chaotic set well known for generating finite-time
chaotic behavior in low and high-dimensional systems. In general, dynamical systems …
chaotic behavior in low and high-dimensional systems. In general, dynamical systems …
Chimera states in multiplex networks: Chameleon-like across-layer synchronization
Different across-layer synchronization types of chimera states in multilayer networks have
been discovered recently. We investigate possible relations between them, for example, if …
been discovered recently. We investigate possible relations between them, for example, if …
Chimera states emerging from dynamical trap** in chaotic saddles
ES Medeiros, O Omel'chenko, U Feudel - ar** in chaotic saddles
Nonlinear systems possessing nonattracting chaotic sets, such as chaotic saddles,
embedded in their state space may oscillate chaotically for a transient time before eventually …
embedded in their state space may oscillate chaotically for a transient time before eventually …