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Related papers: Information encoding in homoclinic chaotic systems

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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

Biological cells encode information about their environment through biochemical signaling networks that control their internal state and response. This information is often encoded in the dynamical patterns of the signaling molecules,…

Molecular Networks · Quantitative Biology 2023-04-24 Lauritz Hahn , Aleksandra M. Walczak , Thierry Mora

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

Homoclinic and heteroclinic orbits provide a skeleton of the full dynamics of a chaotic dynamical system and are the foundation of semiclassical sums for quantum wave packet, coherent state, and transport quantities. Here, the homoclinic…

Chaotic Dynamics · Physics 2019-03-27 Jizhou Li , Steven Tomsovic

A broadband chaotic laser with a flat power spectrum extending up to 8.5GHz is achieved by injecting continuous wave laser light into a chaotic diode laser perturbed by fiber random grating induced distributed feedback, which forms a…

Optics · Physics 2018-10-17 Yanping Xu , Liang Zhang , Ping Lu , Steven Mihailov , Liang Chen , Xiaoyi Bao

We present a case study elaborating on the multiplicity and self-similarity of homoclinic and heteroclinic bifurcation structures in the 2D and 3D parameter spaces of a nonlinear laser model with a Lorenz-like chaotic attractor. In a…

Pattern Formation and Solitons · Physics 2020-10-28 K. Pusuluri , H. G. E. Meijer , A. L. Shilnikov

Physics deals with Newtonian particles described by position q and momentum p. The precision of the simultaneous measurement of q and p is limited by the uncertainty relation ruled by Planck's constant. From the uncertainty relation all…

Neurons and Cognition · Quantitative Biology 2020-03-17 Fortunato Tito Arecchi

Physical systems with co-existence and interplay of processes featuring distinct spatio-temporal scales are found in various research areas ranging from studies of brain activity to astrophysics. Complexity of such systems makes their…

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

Based on the exact conditional quantum dynamics for a two-ion system, we propose an efficient {\it single-step} scheme for coherently manipulating quantum information of two trapped cold ions by using a pair of synchronous laser pulses.…

Quantum Physics · Physics 2015-06-26 L. F. Wei , Franco Nori

Controlling spatiotemporal chaos in excitable media by applying low-amplitude perturbations {\em locally} is of immediate applicability, e.g., in treating ventricular fibrillation, a fatal disturbance in the normal rhythmic functioning of…

Chaotic Dynamics · Physics 2007-05-23 Johannes Breuer , Sitabhra Sinha

In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to simple harmonic perturbations. It is…

chao-dyn · Physics 2009-10-28 Robert Mettin , Thomas Kurz

We present a novel experimental technique that can differentiate unequivocally between chaotic light and coherent light with amplitude fluctuations, and thus permits to characterize unambiguously the output of a laser. This technique…

In terms of the long-distance communication of a single neuron, interpulse intervals (IPIs) are a possible alternative to rate and binary codes. As a proxy for IPI, the time-to-spike (TTS) for a neuron can be found in the biophysical and…

Neurons and Cognition · Quantitative Biology 2019-01-15 Chandan Singh , William B. Levy

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

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

Chaotic Dynamics · Physics 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

We propose a model system that allows communication of spatiotemporal information using an optical chaotic carrier waveform. The system is based on broad-area nonlinear optical ring cavities, which exhibit spatiotemporal chaos in a wide…

Chaotic Dynamics · Physics 2009-10-31 J. Garcia-Ojalvo , R. Roy

The chaotic synchronization between two bi-directionally coupled external cavity single-mode semiconductor lasers is investigated. Numerical simulation shows that anticipating synchronization and lag synchronization coexist in certain…

Chaotic Dynamics · Physics 2009-11-07 Liang Wu , Shiqun Zhu

Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of…

chao-dyn · Physics 2009-10-28 L. Longa , E. M. F. Curado , F. A. Oliveira

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a…

Chaotic Dynamics · Physics 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich