Chaos in optimal communication waveforms

NJ Corron, JN Blakely - Proceedings of the Royal Society …, 2015 - royalsocietypublishing.org
The properties of nonlinear dynamics and chaos are shown to be fundamental to optimal
communication signals subject to two practical and realistic design requirements:(i) …

Easy encoding and low bit‐error‐rate chaos communication system based on reverse‐time chaotic oscillator

L Liu, YN Wang, L Hou, XR Feng - IET Signal Processing, 2017 - Wiley Online Library
A new chaos communication system based on reverse‐time chaotic oscillator (RTCO) is
proposed in this study. In the system, driven by bipolar sequence, RTCO can directly …

[KNJIGA][B] Control of imperfect nonlinear electromechanical large scale systems: from dynamics to hardware implementation

L Fortuna, A Buscarino, M Frasca, C Famoso - 2017 - books.google.com
This book focuses on a class of uncertain systems that are called imperfect, and shows how
much systems can regularly work if an appropriate control strategy is adopted. Along with …

A new chaotic electro-mechanical oscillator

A Buscarino, C Famoso, L Fortuna… - International Journal of …, 2016 - World Scientific
In this paper, a new electro-mechanical chaotic oscillator is presented. The system is based
on the motion of the metal tip of a beam in a double-well potential generated by two …

Noise robust method for analytically solvable chaotic signal reconstruction

L Liu, Y Wang, Y Li, X Feng, H Song, Z He… - Circuits, Systems, and …, 2019 - Springer
A new chaotic signal reconstruction method for analytically solvable chaotic systems (ASCS)
under strong noise condition is proposed in this paper, which solves the problem of …

Ambiguity in range–Doppler determination using waveforms of a solvable chaotic oscillator

JN Blakely, NJ Corron - Signal processing, 2014 - Elsevier
The ambiguity function is derived analytically for waveforms from a chaotic oscillator that has
an analytic solution. The chaotic solutions of this oscillator can be expressed as a …

Evaluating the phase dynamics of coupled oscillators via time-variant topological features

K Itabashi, QH Tran, Y Hasegawa - Physical Review E, 2021 - APS
By characterizing the phase dynamics in coupled oscillators, we gain insights into the
fundamental phenomena of complex systems. The collective dynamics in oscillatory systems …

Li–Yorke chaos in hybrid systems on a time scale

M Akhmet, MO Fen - International Journal of Bifurcation and Chaos, 2015 - World Scientific
By using the reduction technique to impulsive differential equations [Akhmet & Turan, 2006],
we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The …

Correlation properties of exactly solvable chaotic oscillators

JN Blakely, NJ Corron - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We derive exact expressions for the autocorrelation and cross-correlation functions of wave
forms generated by two exactly solvable chaotic systems. For each system, an analytic …

A solvable chaotic oscillator with multiple set points

MS Milosavljevic, JN Blakely, NJ Corron - Proceedings of the 4th …, 2017 - Springer
Recently, a class of chaotic hybrid dynamical systems has been shown to have analytic
solutions. Here we present a new example in this class and its electronic circuit …