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Chaos is devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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May 13 2025
Nina Kastendiek, Jakob Niehues et al.
In adaptive dynamical networks, the dynamics of the nodes and the edges influence each other. We show that we can treat such systems as a closed feedback loop between edge and node dynamics. Using ...
Research Article
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May 13 2025
F. Andrade-Canto, F. J. Beron-Vera et al.
Geodesic vortex detection is a tool in nonlinear dynamical systems to objectively identify transient vortices with flow-invariant boundaries that defy the typical deformation found in 2D turbulence. ...
Research Article
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May 08 2025
Ethan T. Custodio, Sulimon Sattari et al.
When placed in parallel magnetic and electric fields, the electron trajectories of a classical hydrogen atom are chaotic. The classical escape rate of such a system can be computed with classical ...
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May 08 2025
Annalisa Caligiuri, Tobias Galla et al.
Networks model the architecture backbone of complex systems. The backbone itself can change over time leading to what is called “temporal networks.” Interpreting temporal networks as trajectories in ...
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April 15 2025
Antony Mizzi, Michael Small et al.
We use the minimum description length (MDL) principle, which is an information-theoretic criterion for model selection, to determine echo-state network readout subsets. We find that this method of ...
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April 10 2025
Debojyoti Kundu, Santosh Kumar et al.
Discerning chaos in quantum systems is an important problem as the usual route of Lyapunov exponents in classical systems is not straightforward in quantum systems. A standard route is the comparison ...
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May 15 2025
He Ren, Zu-Guo Yu et al.
In recent years, multifractal analysis of complex networks primarily focuses on the topological scale, where the distances between nodes are characterized through their topological shortest-path ...
Research Article
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May 15 2025
Matheus J. Lazarotto, Iberê L. Caldas et al.
A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the wave dynamics. We focus on the configurations of locked ...
Research Article
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May 13 2025
Fei Xu, Meng Jin et al.
While biodiversity is recognized as crucial for ecosystem stability, the mechanisms governing its dual role in collapse and restoration dynamics remain unclear. By analyzing ten empirical ...
Reservoir computing with the minimum description length principle
Antony Mizzi, Michael Small, et al.
Recent achievements in nonlinear dynamics, synchronization, and networks
Dibakar Ghosh, Norbert Marwan, et al.
Data-driven nonlinear model reduction to spectral submanifolds via oblique projection
Leonardo Bettini, Bálint Kaszás, et al.