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We consider two stable heteroclinic cycles rotating in opposite directions, coupled via diffusive terms. A complete synchronization in this system is impossible, and numerical exploration shows that chaos is abundant at low levels of…

混沌动力学 · 物理学 2023-06-14 Arkady Pikovsky , Alexander Nepomnyashchy

Due to the rapid development of the Internet in recent years, the need to find new tools to reinforce trust and security through the Internet has became a major concern. The discovery of new pseudo-random number generators with a strong…

密码学与安全 · 计算机科学 2016-11-17 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

The safety of a quantum key distribution system relies on the fact that any eavesdropping attempt on the quantum channel creates errors in the transmission. For a given error rate, the amount of information that may have leaked to the…

量子物理 · 物理学 2009-10-28 B. Huttner , N. Imoto , N. Gisin , T. Mor

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

神经元与认知 · 定量生物学 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

The problem of separation of an observed sum of chaotic signals into the individual components in the presence of noise on the path to the observer is considered. A noise threshold is found above which high-quality separation is impossible.…

混沌动力学 · 物理学 2009-11-07 Yuri V. Andreyev , Alexander S. Dmitriev , Elena V. Efremova

Intrinsic instability of trajectories characterizes chaotic dynamical systems. We report here that trajectories can exhibit a surprisingly high degree of stability, over a very long time, in a chaotic dynamical system. We provide a detailed…

混沌动力学 · 物理学 2017-07-17 Greg Huber , Marc Pradas , Alain Pumir , Michael Wilkinson

We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to the other oscillators in the network. Specifically, each oscillator couples to the…

混沌动力学 · 物理学 2019-05-22 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

Optical chaos is a topic of current research characterized by high-dimensional nonlinearity which is attributed to the delay-induced dynamics, high bandwidth and easy modular implementation of optical feedback. In light of these facts,…

光学 · 物理学 2011-03-01 S. Banerjee , L. Rondoni , S. Mukhopadhyay , A. P. Misra

In practical applications, it is crucial that the drive-response systems, although identical in all respects, are synchronized at all times, even if there is noise present. In this work, we test the stability and robustness of three…

密码学与安全 · 计算机科学 2025-10-03 N. A. Anagnostopoulos , K. Konstantinidis , A. N. Miliou , S. G. Stavrinides

The increase in data traffic on the internet has significantly increased the relevance of data and image encryption. Among the techniques most used in cryptography, chaotic systems have received great attention due to their easy…

密码学与安全 · 计算机科学 2020-02-19 R. C. Gonzalez , E. G. Nepomuceno

We present a stream cipher based on a chaotic dynamical system. Using a chaotic trajectory sampled under certain rules in order to avoid any attempt to reconstruct the original one, we create a binary pseudo-random keystream that can only…

密码学与安全 · 计算机科学 2015-06-18 Gerard Vidal , Murilo Baptista , Hector Mancini

In traditional chaos shift keying (CSK) communication systems, implementing chaotic synchronization techniques is costly but practically unattainable in a noisy environment. This paper proposes a combined chaotic sequences-based $M$-ary CSK…

信号处理 · 电气工程与系统科学 2025-11-05 Tingting Huang , Jundong Chen , Huanqiang Zeng , Guofa Cai , Haoyu Zhou

Guaranteeing the security of information transmitted through the Internet, against passive or active attacks, is a major concern. The discovery of new pseudo-random number generators with a strong level of security is a field of research in…

密码学与安全 · 计算机科学 2015-03-19 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

This paper analyzes the security of a recent cryptosystem based on the ergodicity property of chaotic maps. It is shown how to obtain the secret key using a chosen-ciphertext attack. Some other design weaknesses are also shown.

混沌动力学 · 物理学 2009-11-13 David Arroyo , Gonzalo Alvarez , Shujun Li , Chengqing Li , Veronica Fernandez

Complexity is an important metric for appropriate characterization of different classes of irregular signals, observed in the laboratory or in nature. The literature is already rich in the description of such measures using a variety of…

We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-all coupling limit is known. In dense networks of finite size…

无序系统与神经网络 · 物理学 2023-07-06 Hans Muller Mendonca , Ralf Tönjes , Tiago Pereira

A new phenomenon, entrainment of chaos, which is understood as a seizure of an irregular behavior by limit cycles, is discussed. As a result, chaotic cycles appear if the chaos amplitude is small. Otherwise, the chaos is not necessarily…

混沌动力学 · 物理学 2012-09-11 Marat Akhmet , Mehmet Onur Fen

We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for their different types of…

混沌动力学 · 物理学 2019-09-26 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

Chaotic functions are characterized by sensitivity to initial conditions, transitivity, and regularity. Providing new functions with such properties is a real challenge. This work shows that one can associate with any Boolean network a…

离散数学 · 计算机科学 2011-12-08 J. M. Bahi , J. -F. Couchot , C. Guyeux , A. Richard

Recently, Pareek et al. proposed a symmetric key block cipher using multiple one-dimensional chaotic maps. This paper reports some new findings on the security problems of this kind of chaotic cipher: 1) a number of weak keys exists; 2)…

混沌动力学 · 物理学 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo