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  • 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.
  • 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. (en)
Title
  • Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment
  • Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment (en)
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  • Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment
  • Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment (en)
skos:notation
  • RIV/00216305:26220/06:PU55609!RIV10-GA0-26220___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/04/0469), P(GA102/05/0771), P(GD102/03/H105), Z(MSM0021630513)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
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  • 499286
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26220/06:PU55609
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Nonlinear oscillator, chaos, Lyapunov exponents, circuit realization, measurement (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [F30DC20D9C97]
http://linked.open...i/riv/nazevZdroje
  • Radioengineering
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 15
http://linked.open...iv/tvurceVysledku
  • Hanus, Stanislav
  • Kolka, Zdeněk
  • Petržela, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 1210-2512
number of pages
http://localhost/t...ganizacniJednotka
  • 26220
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