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) …

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 …

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 …

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 …

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 …

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 …

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 …

By characterizing the phase dynamics in coupled oscillators, we gain insights into the
fundamental phenomena of complex systems. The collective dynamics in oscillatory systems …

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 …

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 …