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We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an…

Chaotic Dynamics · Physics 2009-11-13 O. Alvarez-Llamoza , M. G. Cosenza

A new method for secure information transmission based on generalized synchronization is proposed. The principal advantage of it is a remarkable stability to noise. To reveal this peculiarity of the proposed method the effectiveness of the…

Chaotic Dynamics · Physics 2013-02-19 Olga Moskalenko , Alexey A. Koronovskii , Alexander E. Hramov

A novel explicit analytical solution is reported for the transmission and recovery of information signals using a simple communication scheme. Analytical solutions are obtained for the normalized state equations of coupled second-order…

Signal Processing · Electrical Eng. & Systems 2019-10-08 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined oscillation phases at least on short time intervals. For data…

Chaotic Dynamics · Physics 2017-08-10 Olga B. Isaeva , Alexey Yu. Jalnine , Sergey P. Kuznetsov

It is shown that the synchronization behavior of a system of chaotic maps subject to either an external forcing or a coupling function of their internal variables can be inferred from the behavior of a single element in the system, which…

Chaotic Dynamics · Physics 2015-05-19 M. G. Cosenza , O. Alvarez-Llamoza , G. Paredes

This paper studies the security of a secure communication scheme based on two discrete-time intermittently-chaotic systems synchronized via a common random driving signal. Some security defects of the scheme are revealed: 1) the key space…

Chaotic Dynamics · Physics 2016-08-16 Shujun Li , Gonzalo Álvarez , Guanrong Chen , Xuanqin Mou

Two chaotic systems which interact by mutually exchanging a signal built from their delayed internal variables, can synchronize. A third unit may be able to record and to manipulate the exchanged signal. Can the third unit synchronize to…

Chaotic Dynamics · Physics 2009-11-13 Ido Kanter , Evi Kopelowitz , Johannes Kestler , Wolfgang Kinzel

In this paper, a high dimensional chaotic systems based mixed keystream generator is proposed to secure the voice data. As the voice-based communication becomes extensively vital in the application areas of military, voice over IP,…

Cryptography and Security · Computer Science 2014-03-20 Musheer Ahmad , Bashir Alam , Omar Farooq

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two…

Chaotic Dynamics · Physics 2007-10-23 Gonzalo Alvarez , Shujun Li , F. Montoya , M. Romera , G. Pastor

The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos…

Chaotic Dynamics · Physics 2015-05-13 Donatello Materassi , Michele Basso

This paper describes the security weakness of a recently proposed secure communication method based on discrete-time chaos synchronization. We show that the security is compromised even without precise knowledge of the chaotic system used.…

Chaotic Dynamics · Physics 2007-05-23 Gonzalo Alvarez , Fausto Montoya , Miguel Romera , Gerardo Pastor

This report aims to study adaptive synchronization between a general class of hyperchaotic complex-valued systems with unknown parameters, which is motivated by extensive application areas of this topic in nonlinear sciences (e.g., secure…

Dynamical Systems · Mathematics 2021-10-27 A. A. -H. Shoreh , N. V. Kuznetsov , T. N. Mokaev

A one-way coupled spatiotemporally chaotic map lattice is used to contruct cryptosystem. With the combinatorial applications of both chaotic computations and conventional algebraic operations, our system has optimal cryptographic properties…

We propose a design that uses the principle of chaos for UAV secure communication. A UAV identified as an aerial base station communicates with a ground base station over an RF channel. The communication units have dynamics based on the…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Christian Nwachioma , Martins Ezuma , Olusiji . O. Medaiyese

This work analyzes the security weakness of a recently proposed communication method based on chaotic modulation and masking using synchronization of two chaotic systems with different orders. It is shown that its application to secure…

Chaotic Dynamics · Physics 2007-10-23 G. Alvarez , L. Hernandez , J. Munoz , F. Montoya , Shujun Li

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

Chaotic Dynamics · Physics 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur

Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · Physics 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in…

Other Condensed Matter · Physics 2015-05-14 Francesco Sorrentino

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel
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