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Delayed dynamics in an electronic relaxation oscillator
- Source :
- Physical Review E, Physical Review E, American Physical Society (APS), 2019, 100 (3), ⟨10.1103/PhysRevE.100.032224⟩, Physical review. E, info:cnr-pdr/source/autori:Di Garbo A, Euzzor S, Ginoux JM, Arecchi FT, Meucci R/titolo:Delayed dynamics in an electronic relaxation oscillator/doi:10.1103%2FPhysRevE.100.032224/rivista:Physical review. E (Print)/anno:2019/pagina_da:/pagina_a:/intervallo_pagine:/volume:100, Physical Review E, 2019, 100 (3), ⟨10.1103/PhysRevE.100.032224⟩
- Publication Year :
- 2019
- Publisher :
- American Physical Society (APS), 2019.
-
Abstract
- We present an experimental investigation of the complex dynamics of a modulated relaxation oscillator implemented by using a unipolar junction transistor (UJT) showing the transition to chaos through torus breakdown. In a previous paper a continuous model was introduced for the same system, explaining chaos based on analogy with a memristor. We propose here a new approach based on a piecewise linear model with delay considering a measured parasitic delay effect. The inclusion of this delay, accounting for memory effects, increases the dimensionality of the model, allowing the transition to chaos as observed in the experiment. The piecewise delayed model shows analogies with a two-dimensional leaky integrate-and-fire model used in neurodynamics.
- Subjects :
- Physics
Continuous modelling
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
Bipolar junction transistor
Relaxation oscillator
Torus
Memristor
01 natural sciences
010305 fluids & plasmas
law.invention
Complex dynamics
law
[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]
0103 physical sciences
Piecewise
Chaos
Statistical physics
010306 general physics
ComputingMilieux_MISCELLANEOUS
Curse of dimensionality
Subjects
Details
- ISSN :
- 24700053 and 24700045
- Volume :
- 100
- Database :
- OpenAIRE
- Journal :
- Physical Review E
- Accession number :
- edsair.doi.dedup.....de4d314464ba447dc7880cd0f2805e11