Generation Of Chaotic Oscillations Research Articles

Grazing, Homoclinic Orbits and Chaos in a Single-Loop Feedback System with a Discontinuous Function

Bifurcations and chaos of a three-dimensional single-loop feedback system with a discontinuous piecewise linear feedback function are examined. Chaotic attractors are generated at the same time of the destabilization of foci accompanied with grazing. Multiple periodic solutions are connected with homoclinic orbits based at a pseudo saddle-focus, which satisfies the condition of Shil’nikov chaos formally. The generation of chaotic oscillations is shown in a circuit experiment on a linear ring oscillator with a comparator. The homoclinic bifurcations and chaos are also shown in a ring neural network with a nonmonotonic neuron.

Generation of Dynamic Chaos in a Range of 10–30 GHz

The possibility of generation of ultrawideband chaotic oscillation in a frequency band of 10–30 GHz on the basis of the state-of-the-art microelectronic technology has been investigated. Schematic and topological models of a generator of chaotic oscillations based on elements from the 130-nm SiGe technology library have been proposed, developed, and investigated. The dynamics of the oscillation conditions and the energy efficiency of the generator has been analyzed.

Application of invariant properties of chaotic signals in the synthesis of noise-immune broadband systems for data transmission

The analysis of modern methods for data transmission using chaotic signals is performed, and corresponding limitations are revealed. A new method with a higher noise immunity is developed for data transmission with the aid of dynamic chaos using invariant synchronous chaotic response. Requirements on the generator of chaotic oscillations (GCO) for the proposed method are considered. In accordance with the requirements, a GCO with a delay and a discriminator in the feedback circuit is developed. The GCO characteristics are studied and compliance with the requirements is demonstrated. The structure of a communication system is synthesized and its mathematical model that employs the invariant properties of the GCO is proposed. Computer simulation of the communication system is used to estimate the noise immunity of the system that works in the communication channel with distortions and noise. The simulated results are used to prove the correctness of the proposed method for an increase in the noise immunity of the communication system and demonstrate the prospects for the application of invariant properties of chaotic signals in modern communication systems. The application of fractal signals in the systems for confidential broadband communications is proposed.

Generation of chaotic oscillations in auto-oscillator based on avalanche transit-time diode

Time series of chaotic oscillations have been observed for the first time in an auto-oscillator for the 8-mm wavelength range based on an avalanche transit-time diode. The noise generator based on this diode has been used as a signal source for a noise radar prototype.

Generation of chaotic oscillations in the experimental scheme of two cascade-coupled phase systems

Experimental data for the chaotic dynamics of two phase systems coupled in a cascade are presented. A mathematical model of the experimental scheme is developed. The system dynamics is qualitatively studied via numerical methods, including mapping of dynamic regimes. Experimental and theoretical approaches are used to show that the considered system is a generator of chaotically modulated oscillations in a broad area of the parameter space.

Analysis of regions of chaotic oscillations in coupled phase systems

We discuss the problems of generation of chaotically modulated oscillations in small ensembles of coupled self-excited oscillators with phase control. Special attention is paid to analyzing the regions of generation of chaotic oscillations in parameter space. It is shown that transition to collective dynamics allows us to efficiently solve the problem of generation of chaotically modulated oscillations in a sufficiently wide parameter-space region.

Chaotic oscillations of two cascade-coupled oscillators with frequency control

The generation of chaotically modulated oscillations in autooscillatory systems with frequency control is considered. It is shown that, by coupling two such systems, it is possible to considerably expand a region corresponding to the generation of chaotic oscillations in the space of parameters of this ensemble and to provide additional means of controlling the characteristics of oscillations by changing the parameters of coupling.

Experimental study of chaotic oscillations generated by an ensemble of cascade-coupled phase systems

Chaotic dynamics in the ensemble of two cascade-coupled phase systems has been experimentally studied. Various chaotic regimes observed in this ensemble are classified. The experiments showed that the ensemble acts as a generator of chaotic oscillations within a broad domain in the space of system parameters.

Chaotic Pulse Trains Generated by a Dynamical System Driven by a Periodic Signal

Chaotic pulse trains (rf pulses) can be generated by a dynamical system driven by a periodic signal. This possibility is demonstrated using a generator of chaotic oscillations with 2.5 degrees of freedom. By controlling the frequency of external action and selecting a constant bias (working point), it is possible to vary the width of rf pulses and their repetition rate within broad limits.

Generation of chaotic oscillations in a system with flow reversal

The paper is devoted to examining the effect of a reverse flow on a cascade of two nonadiabatic continuously stirred tank reactors (CSTR) connected with stream flow. A suitable numerical method was used to achieve data reduction, particularly in the region of transition between periodic oscillations and chaos. Computation results gave period doubling leading to chaos. Sensitivity to initial conditions has also been investigated. It has been shown that there is a dependence between oscillations of the cascade without reverse flow and dynamic phenomena, which can occur with flow reversal.

Correcting the Spectral Intensity Distribution in the Generator of Chaotic Oscillations with a Delay Line

Correcting the Spectral Intensity Distribution in the Generator of Chaotic Oscillations with a Delay Line