Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment
This paper shows the circuitry implementation and practical verification of the autonomous nonlinear oscillator. Since it is described by a single third-order differential equation, its state variables can be considered as the position, velocity and acceleration and thus have direct connection to a...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Spolecnost pro radioelektronicke inzenyrstvi
2006-04-01
|
| Series: | Radioengineering |
| Subjects: | |
| Online Access: | http://www.radioeng.cz/fulltexts/2006/06_01_06_12.pdf |
| _version_ | 1818994786816753664 |
|---|---|
| author | S. Hanus Z. Kolka J. Petrzela |
| author_facet | S. Hanus Z. Kolka J. Petrzela |
| author_sort | S. Hanus |
| collection | DOAJ |
| description | This paper shows the circuitry implementation and practical verification of the autonomous nonlinear oscillator. Since it is described by a single third-order differential equation, its state variables can be considered as the position, velocity and acceleration and thus have direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit a period doubling bifurcation leading to chaos. Two different structures of the nonlinear element were verified by a comparison of numerically integrated trajectory with the oscilloscope screenshots . |
| first_indexed | 2024-12-20T21:03:29Z |
| format | Article |
| id | doaj.art-26c9b6aa28b14cf6b0f67252eba9d85b |
| institution | Directory Open Access Journal |
| issn | 1210-2512 |
| language | English |
| last_indexed | 2024-12-20T21:03:29Z |
| publishDate | 2006-04-01 |
| publisher | Spolecnost pro radioelektronicke inzenyrstvi |
| record_format | Article |
| series | Radioengineering |
| spelling | doaj.art-26c9b6aa28b14cf6b0f67252eba9d85b2022-12-21T19:26:39ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122006-04-01151612Simple Chaotic Oscillator: From Mathematical Model to Practical ExperimentS. HanusZ. KolkaJ. PetrzelaThis paper shows the circuitry implementation and practical verification of the autonomous nonlinear oscillator. Since it is described by a single third-order differential equation, its state variables can be considered as the position, velocity and acceleration and thus have direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit a period doubling bifurcation leading to chaos. Two different structures of the nonlinear element were verified by a comparison of numerically integrated trajectory with the oscilloscope screenshots .www.radioeng.cz/fulltexts/2006/06_01_06_12.pdfNonlinear oscillatorchaosLyapunov exponentscircuit realizationmeasurement |
| spellingShingle | S. Hanus Z. Kolka J. Petrzela Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment Radioengineering Nonlinear oscillator chaos Lyapunov exponents circuit realization measurement |
| title | Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment |
| title_full | Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment |
| title_fullStr | Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment |
| title_full_unstemmed | Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment |
| title_short | Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment |
| title_sort | simple chaotic oscillator from mathematical model to practical experiment |
| topic | Nonlinear oscillator chaos Lyapunov exponents circuit realization measurement |
| url | http://www.radioeng.cz/fulltexts/2006/06_01_06_12.pdf |
| work_keys_str_mv | AT shanus simplechaoticoscillatorfrommathematicalmodeltopracticalexperiment AT zkolka simplechaoticoscillatorfrommathematicalmodeltopracticalexperiment AT jpetrzela simplechaoticoscillatorfrommathematicalmodeltopracticalexperiment |