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We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

Statistical Mechanics · Physics 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

We describe a new opto-electronic device with time-delayed feedback that uses a Mach-Zehnder interferometer as passive nonlinearity and a semiconductor laser as a current-to-optical-frequency converter. Bandlimited feedback allows tuning of…

Chaotic Dynamics · Physics 2009-11-10 J. N. Blakely , Lucas Illing , Daniel J. Gauthier

We experimentally present a random phase feedback based on quantum noise to generate a chaotic laser with Gaussian invariant distribution. The quantum noise from vacuum fluctuations is acquired by balanced homodyne detection and injected…

Optics · Physics 2023-06-13 Yanqiang Guo , Haifeng Li , Yingqi Wang , Xiangyu Meng , Tong Zhao , Xiaomin Guo

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

Chaotic Dynamics · Physics 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski , Artur Grabski

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

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

We observe deterministic chaos in a simple network of electronic logic gates that are not regulated by a clocking signal. The resulting power spectrum is ultra-wide-band, extending from dc to beyond 2 GHz. The observed behavior is…

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

A simple model of a distributed, non-linear circuit that produces chaos at GHz frequencies is introduced and tested experimentally. The model circuit is a driven diode-terminated transmission line with the transmission line impedance…

We present a new optoelectronic architecture intended for chaotic optical intensity generation. The principle relies on an electro-optic non-linear delay dynamics, which non linearity is performed by a 4-waves integrated optics…

Optics · Physics 2009-06-08 Mourad Nourine , Michael Peil , Laurent Larger

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…

Chaotic Dynamics · Physics 2023-06-14 Arkady Pikovsky , Alexander Nepomnyashchy

Utilization of chaotic signals for covert communications remains a very promising practical application. Multiple studies indicated that the major shortcoming of recently proposed chaos-based communication schemes is their susceptibility to…

Physical chaos is a fascinating prospect for high-speed data security by serving as a masking carrier or a key source, but suffers from a colored spectrum that divulges system's intrinsic oscillations and degrades randomness. Here, we…

Optics · Physics 2017-02-20 Anbang Wang , Yuncai Wang , Bingjie Wang , Lei Li , Mingjiang Zhang , Wendong Zhang

A novel time delayed chaotic oscillator exhibiting mono- and double scroll complex chaotic attractors is designed. This circuit consists of only a few operational amplifiers and diodes and employs a threshold controller for flexibility. It…

Chaotic Dynamics · Physics 2011-05-20 K. Srinivasan , I. Raja Mohamed , K. Murali , M. Lakshmanan , Sudeshna Sinha

We introduce a novel approach for controlling fast chaos in time-delay dynamical systems and use it to control a chaotic photonic device with a characteristic time scale of ~12 ns. Our approach is a prescription for how to implement…

Chaotic Dynamics · Physics 2009-11-10 J. N. Blakely , L. Illing , D. J. Gauthier

This paper studies how complicated and irregular behavior, known as chaos, can arise in a simple mathematical model that includes time delays. The model is a delay differential equation in which the present rate of change depends not only…

Dynamical Systems · Mathematics 2026-04-10 Pragati Dutta , Sachin Bhalekar

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

Dynamical Systems · Mathematics 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

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

The invariance of the Lyapunov exponent of a chaotic signal as it propagates along a wireless transmission channel provides a theoretical base for the application of chaos in wireless communication. In additive Gaussian channel, the chaotic…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Hai-Peng Ren , Wu-Yun Zheng , Celso Grebogi
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