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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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April 10 2025
Zhikun Zhang, Yiting Duan et al.
This paper proposes a novel fast online methodology for outlier detection called the exception maximization outlier detection (EMOD) algorithm, which employs probabilistic models and statistical ...
Research Article
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March 19 2025
Thawatchai Mayteevarunyoo, Boris A. Malomed
Stability is an essential problem in theoretical and experimental studies of solitons in nonlinear media with fractional diffraction, which is represented by the Riesz derivative with Lévy index (LI) ...
Research Article
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March 07 2025
James Scully, Carter Hinsley et al.
This paper investigates the origin and onset of chaos in a mathematical model of an individual neuron, arising from the intricate interaction between 3D fast and 2D slow dynamics governing its ...
Editor's Picks
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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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April 01 2025
Rui Diao, Bin Shen et al.
In this work, the optical field distribution of the optical frequency comb in the whispering gallery mode microcavity is demonstrated based on the coupled Lugiato–Lefever equation model with ...
Most Recent
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April 25 2025
Jung-Chao Ban, Jyy-I Hong et al.
Considering limited environmental resources, this article develops topological and random population systems, as well as positioned spread models that emphasize spatial distribution and growth. It ...
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April 22 2025
Shirin Panahi, Ying-Cheng Lai
In nonautonomous dynamical systems, rate-induced tipping (R-tipping) is a critical transition triggered by the rate of change of a time-varying parameter, rather than its absolute value. In recent ...
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April 22 2025
Azamat Yeldesbay, Gemma Huguet et al.
We present a novel method of reconstructing the phase–amplitude dynamics directly from signals of a network of oscillators to estimate the coupling between its nodes. For this purpose, we use the ...
Introduction to Focus Issue: Data-driven models and analysis of complex systems
Johann H. Martínez, Klaus Lehnertz, et al.
Sex, ducks, and rock “n” roll: Mathematical model of sexual response
K. B. Blyuss, Y. N. Kyrychko
Selecting embedding delays: An overview of embedding techniques and a new method using persistent homology
Eugene Tan, Shannon Algar, et al.