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Chaotic Continua in Chaotic Dynamical Systems

2021
In this article, for any graph G we define a new notion of “free tracing property by free G-chains” on G-like continua and we show that a positive topological entropy homeomorphism f of a G-like continuum X admits a Cantor set Z in X such that any sequence \((z_1,z_2,...,z_n)\) of points in Z is an IE-tuple of f, Z has the free tracing property by free
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Chaotic simulated annealing with decaying chaotic noise

IEEE Transactions on Neural Networks, 2002
By adding chaotic noise to each neuron of the discrete-time continuous-output Hopfield neural network (HNN) and gradually reducing the noise, a chaotic neural network is proposed so that it is initially chaotic but eventually convergent, and, thus, has richer and more flexible dynamics compared to the HNN.
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Is it healthy to be chaotic?

Medical Hypotheses, 2003
The concept of Chaos has proven to be one of the greatest scientific advances that have led to radical philosophical implications. It deals with dynamic systems whose determining factors are completely unknown to us. Sometimes it seems that these dynamic systems exhibit a stochastic behavior while others portray simpler or better known behaviors where ...
E. Otero-Siliceo, N. Arriada-Mendicoa
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Chaotic cryptology

Annalen der Physik, 1995
AbstractA method to transfer secret information using chaotic dynamical systems is proposed. It is based on modulating a chaotic system with the message such that its time evolution contains the hidden information. Decryption of the cipher is achieved by chaos control. Operation of the scheme is demonstrated by en‐ and decoding a short german text.
Martienssen, W.   +2 more
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Chaotic Footloose Capital. [PDF]

open access: possibleNonlinear dynamics, psychology, and life sciences, 2005
This paper examines the long-term behavior of a discrete-time Footloose Capital model, where capitalists, who are themselves immobile between regions, move their physical capital between regions in response to economic incentives. The spatial location of industry can exhibit cycles of any periodicity or behave chaotically.
COMMENDATORE, PASQUALE   +2 more
openaire   +5 more sources

Chaotic microcomb-based parallel ranging

Nature Photonics, 2023
Anton Lukashchuk   +2 more
exaly  

The chaotic resonance

1994
Summary: The resonance problem and chaotic dynamics, described by the Duffing equation, are reexamined when excitation is external or parametric. Starting from the similarity existing between these two different phenomena, a new concept is introduced: \textit{chaotic resonance}.
LENCI S.   +2 more
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