POINCARÉ PLANES IN NONLINEAR ELECTRONICS

2007 ◽  
Vol 17 (01) ◽  
pp. 199-208 ◽  
Author(s):  
E. CAMPOS-CANTÓN ◽  
J. S. GONZÁLEZ ◽  
J. URÍAS
Keyword(s):  
Phase Space ◽  
Nonlinear Oscillator ◽  
Chaotic Maps ◽  
Electronic Systems ◽  
Experimental Setup ◽  
Electronic Circuitry ◽  
Chua’S Oscillator ◽  
Bistable Switching ◽  
Forced Nonlinear Oscillator

Details of electronic circuitry to define Poincaré planes in the phase space of nonlinear electronic systems are presented. It allows an experimental setup to capture data at every moment the system's orbit crosses the Poincaré plane. We illustrate how the circuit is used in an experimental setup that allows us (i) to reconstruct bifurcation cascades and to disclose induced first return chaotic maps in a harmonically forced nonlinear oscillator, and (ii) to study bistable switching in Chua's oscillator.

U-sequence and period-tripling phenomena in a forced nonlinear oscillator

1985 ◽  
Vol 2 (5) ◽  
pp. 213-216 ◽  
Author(s):  
Wu Shu-xian ◽  
Pei Liu-qing ◽  
Guo Fen
Keyword(s):  
Nonlinear Oscillator ◽  
Forced Nonlinear Oscillator

Forced nonlinear oscillator with nonsymmetric dry friction

2006 ◽  
Vol 77 (5) ◽  
pp. 353-362 ◽  
Author(s):  
K. Zimmermann ◽  
I. Zeidis ◽  
M. Pivovarov ◽  
K. Abaza
Keyword(s):  
Dry Friction ◽  
Nonlinear Oscillator ◽  
Forced Nonlinear Oscillator

scholarly journals Rotating vector solving method applied for nonlinear oscillator

2021 ◽  
Author(s):  
L. Cveticanin ◽  
P. Suchy ◽  
I. Biro ◽  
M. Zukovic
Keyword(s):  
Nonlinear Oscillator ◽  
Excitation Frequency ◽  
Elastic Beam ◽  
Degree Of Freedom ◽  
Linear Oscillator ◽  
Finite Degree ◽  
Vector Method ◽  
Three Degree Of Freedom ◽  
Excited Oscillator ◽  
Forced Nonlinear Oscillator

AbstractSignificant number of procedures for solving of the finite degree-of-freedom forced nonlinear oscillator are developed. For all of them it is common that they are based on the exact solution of the corresponding linear oscillator. For technical reasons, the aim of this paper is to develop a simpler solving procedure. The rotating vector method, developed for the linear oscillator, is adopted for solving of the nonlinear finite degree-of-freedom oscillator. The solution is assumed in the form of trigonometric functions. Assuming that the nonlinearity is small all terms of the series expansion of the function higher than the first are omitted. The rotating vectors for each mass are presented in the complex plane. In the paper, the suggested rotating vector procedure is applied for solving of a three-degree-of-freedom periodically excited oscillator. The influence of the nonlinear stiffness of the flexible elastic beam, excited with a periodical force, on the resonant properties of the system in whole is investigated. It is obtained that the influence of nonlinearity on the amplitude and phase of vibration is more significant for smaller values of the excitation frequency than for higher ones.

scholarly journals Design of Single Inductor and Two Output DC - DC Converter

2020 ◽  
pp. 54-59
Author(s):  
S. Inbasakaran ◽  
Mahesh. K ◽  
Lithesh. J
Keyword(s):  
Output Voltage ◽  
Input Voltage ◽  
Power Supplies ◽  
Electronic Systems ◽  
Minimum Loss ◽  
Voltage Level ◽  
Dc Voltage ◽  
Electronic Circuitry ◽  
Dc Power ◽  
Common Goals

<p>A DC-DC converter is used to convert from one DC voltage level to another DC voltage level. The output voltage may be increased or decreased when compare to the input voltage based on the circuit topology. DC – DC converters are mainly used as a regulated and isolated power supplies in many applications. Regulated dc power supplies are needed for most analog and digital electronic systems. Most power supplies are designed to meet some or all of the following requirements:</p> <p><strong>Regulated output: </strong>The output voltage must be kept constant with respect to the change in output loading.</p> <p><strong>Isolation: </strong>The output may be required to be electrically isolated from the input.</p> <p>In addition to these requirements, common goals are to reduce power supply size and weight and improve their efficiency. A few applications of DC-DC converters are where 5V DC on a personal computer motherboard must be stepped down to 3V, 2V or less for one of the latest CPU chips; where 1.5V from a single cell must be stepped up to 5V or more, to operate electronic circuitry. The main focus in this paper is to generate dc voltage from a one level to other level with minimum loss. The need for such converters has risen due to the fact that transformers are unable to function on dc.</p>

scholarly journals Limitations of Harmonics Control in Power Converters

Electronics ◽  
2019 ◽  
Vol 8 (7) ◽  
pp. 739
Author(s):  
Denis Sušin ◽  
Mitja Nemec ◽  
Vanja Ambrožič ◽  
David Nedeljković
Keyword(s):  
Pulse Width ◽  
Single Phase ◽  
Power Converters ◽  
Power Converter ◽  
Electronic Systems ◽  
Experimental Setup ◽  
Power Electronic ◽  
Harmonic Current ◽  
Maximal Amplitude ◽  
Pulse Width Modulated

In this paper, we analyze the constraints of harmonics control in power electronic systems. Based on an equivalent circuit of a typical power converter application and its parameters, we have derived an analytical expression for calculating the maximal amplitude of controlled harmonic current. This expression has been successfully verified on an experimental setup, designed around a single-phase grid-connected bidirectional inverter. The pulse width modulated (PWM) driven inverter has been controlled by multiple resonant controllers, each of them providing individual control of a selected harmonic current. By using the derived expression and taking into account the parameters of converter application, power electronics designers could quickly determine the limitations of harmonics control.

A theory for phase locking of respiration in cats to a mechanical ventilator

1984 ◽  
Vol 246 (3) ◽  
pp. R311-R320 ◽  
Author(s):  
G. A. Petrillo ◽  
L. Glass
Keyword(s):  
Nonlinear Oscillator ◽  
Phase Locking ◽  
Experimental Studies ◽  
Mechanical Ventilator ◽  
Van Der Pol Equation ◽  
Van Der Pol ◽  
Mechanically Ventilated ◽  
Wide Range ◽  
Forced Nonlinear Oscillator ◽  
Good Agreement

A mathematical model describing the Hering-Breuer reflexes in mechanically ventilated cats is developed. There is good agreement between the properties of the model and experimental studies performed over a wide range of frequencies and volumes of the mechanical ventilator. There is a correspondence between the model and a periodically forced nonlinear oscillator, similar to the van der Pol equation. Brain stem mechanisms underlying the entrainment are discussed.

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