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Random perturbations applied in tandem to an ensemble of oscillating objects can synchronize their motion. We study multiple copies of an arbitrary dynamical system in a stable limit cycle, described via a standard phase reduction picture.…

统计力学 · 物理学 2024-02-23 Yunxiang Song , Thomas A. Witten

The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of…

无序系统与神经网络 · 物理学 2007-05-23 Hans-Juergen Sommers , Dmitry V. Savin , Valentin V. Sokolov

We propose efficient-phase-encoding protocols for continuous-variable quantum key distribution using coherent states and postselection. By these phase encodings, the probability of basis mismatch is reduced and total efficiency is…

量子物理 · 物理学 2008-09-29 Ryo Namiki , Takuya Hirano

Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food webs, epidemic disease in populations, power grids and many other. Such dynamical…

混沌动力学 · 物理学 2017-03-27 Deniz Eroglu , Jeroen Lamb , Tiago Pereira

In cryptography, the Cipher Block Chaining (CBC), one of the most commonly used mode in recent years, is a mode of operation that uses a block cipher to provide confidentiality or authenticity. In our previous research work, we have shown…

密码学与安全 · 计算机科学 2016-05-11 Abdessalem Abidi , Christophe Guyeux , Bechara Al Bouna , Belgacem Bouallègue , Mohsen Machhout

When a medium composed of microscopic elements is subjected to a high intensity field, the individual behaviors of microscopic elements can become chaotic. In such cases it is important to consider the effects of this irregularity at…

混沌动力学 · 物理学 2007-05-23 Mikhail M. Sushchik , Nikolai F. Rulkov

The chaotic systems have been found applications in diverse fields such as pseudo random number generator, coding, cryptography, spread spectrum (SS) communications etc. The inherent capability of generating a large space of PN sequences…

离散数学 · 计算机科学 2012-07-12 V. H. Mankar , T. S. Das , S. K. Sarkar

The use of reverse time chaos allows the realization of hardware chaotic systems that can operate at speeds equivalent to existing state of the art while requiring significantly less complex circuitry. Matched filter decoding is possible…

数据分析、统计与概率 · 物理学 2016-10-11 J. Phillip Bailey , Aubrey N. Beal , Robert N. Dean , Michael C. Hamilton

We consider the quantum-classical correspondence from a classical perspective by discussing the potential for chaotic systems to support behaviors normally associated with quantum mechanical systems. Our main analytical tool is a chaotic…

量子物理 · 物理学 2017-10-09 Kevin M. Short , Matthew A. Morena

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved…

信号处理 · 电气工程与系统科学 2022-10-14 Thomas L. Carroll

Cryptography is always very important in data origin authentications, entity authentication, data integrity and confidentiality. In recent years, a variety of chaotic cryptographic schemes have been proposed. These schemes have typical…

密码学与安全 · 计算机科学 2012-02-08 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard

Quantum chaos is the study of quantum systems whose classical description is chaotic. How does chaos manifest itself in the quantum world? In this spirit, we study the dynamical generation of entanglement as a signature of chaos in a system…

量子物理 · 物理学 2012-12-20 Vaibhav Madhok

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

混沌动力学 · 物理学 2015-07-02 A. V. Makarenko

In many real world chaotic systems, the interest is typically in determining when the system will behave in an extreme manner. Flooding and drought, extreme heatwaves, large earthquakes, and large drops in the stock market are examples of…

应用统计 · 统计学 2019-08-19 Michael LuValle

By combining the one-way coupled chaotic map lattice system with a bit-reverse operation, we construct a new cryptosystem which is extremely sensitive to the system parameters even for low-dimensional systems. The security of this new…

混沌动力学 · 物理学 2007-05-23 Xingang Wang , Meng Zhan , Xiaofeng Gong , Choy-Heng Lai

Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchronization can be captured by symmetries of the network. Here we…

斑图形成与孤子 · 物理学 2017-08-30 Young Sul Cho , Takashi Nishikawa , Adilson E. Motter

Chaotic iterations have been introduced on the one hand by Chazan, Mi- ranker [6] and Miellou [10] in a numerical analysis context, and on the other hand by Robert [12] and Pellegrin [11] in the discrete dynamical systems frame- work. In…

混沌动力学 · 物理学 2008-10-28 Jacques M. Bahi , Christophe Guyeux

We propose a mechanism by which the efficiency of mixing in chaotic flows can be enhanced. Our mechanism consists of introducing small changes in the system parameters in regions of phase space where the local Lyapunov exponent falls…

chao-dyn · 物理学 2008-02-03 Neelima Gupte , R. E. Amritkar

Quantum chaos is a subject whose major goal is to identify and to investigate different quantum signatures of classical chaos. Here we study entanglement production in coupled chaotic systems as a possible quantum indicator of classical…

量子物理 · 物理学 2009-11-11 Jayendra N. Bandyopadhyay , Arul Lakshminarayan

The most exciting recent development in nonlinear dynamics is realization that chaos can be useful. One application involves "Secure Communication". Two piecewise linear systems with switching nonlinearities have been taken as chaos…

密码学与安全 · 计算机科学 2007-08-21 Sourav Dhar , Kabir Chakraborty