Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior
Source abstract
Abstract
This paper briefly describes a recent discovery that occurred during the study of the simplest mathematical model of a class C amplifier with a bipolar transistor. It is proved both numerically and experimentally that chaos can be observed in this simple network structure under three conditions: (1) the transistor is considered non-unilateral, (2) bias point provides cubic polynomial feedforward and feedback transconductance, and (3) the LC tank has very high resonant frequency. Moreover, chaos is generated by an autonomous class C amplifier; i.e., an isolated system without a driving force is analyzed. By the connection of a harmonic input signal, much more complex behavior can be observed. Additionally, due to the high degree of generalization of the amplifier cell, similar fundamental circuits can be ordinarily found as subparts of typical building blocks of a radio frequency signal path.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nonlinear Dynamics and Pattern Formation · Chaos control and synchronization · stochastic dynamics and bifurcation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 616 00 Brno, Czech Republic
Funding
Grantová Agentura České Republiky
References (44)
Show source-provided references
1. Delgado-Bonal, A., and Marshak, A. (2019). Approximate entropy and sample entropy: A comprehensive tutorial. Entropy, 21.10.3390/e21060541 ↗
2. Approximate entropy as a measure of system complexity10.1073/pnas.88.6.2297 ↗
3. Approximate entropy (ApEn) as a complexity measure10.1063/1.166092 ↗
4. Determining Lyapunov exponents from a time series
5. Lyapunov-exponent spectrum from noisy time series10.1142/S0218127413501034 ↗
6. Sprott, J.C. (2003). Chaos and Time Series Analysis, Oxford University Press.10.1093/oso/9780198508397.001.0001 ↗
7. Ergodic theory of chaos and strange attractors10.1103/RevModPhys.57.617 ↗
8. Lyapunov exponent analysis of autonomous and nonautonomous set of ordinary differential equations
9. Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Part 2: Numerical application10.1007/BF02128237 ↗
10. A novel mega-stable chaotic circuit10.13164/re.2020.0140 ↗
11. Sprott, J.C. (2010). Elegant Chaos: Algebraically Simple Chaotic Flows, World Scientific.10.1142/9789812838827 ↗
12. Optimal piecewise-linear approximation of the quadratic chaotic dynamics
13. A new cost function for parameter estimation of chaotic systems using return maps as fingerprints10.1142/S021812741450134X ↗
14. Bifurcations and Synchronization using an integrated programmable chaotic circuit10.1142/S0218127497001357 ↗
15. Investigation of bifurcations in the process equation10.1142/S0218127417502017 ↗
16. Petrzela, J. (2020). Fractional-order chaotic memory with wideband constant phase elements. Entropy, 22.10.3390/e22040422 ↗
17. A chaotic attractor from Chua’s circuit10.1109/TCS.1984.1085459 ↗
18. Variations of boundary surface in Chua’s circuit10.13164/re.2015.0814 ↗
19. Chaos in the Colpitts oscillator10.1109/81.331536 ↗
20. Chaos in Hartley’s oscillator
21. A survey of Wien bridge-based chaotic oscillators: Design and experimental issues10.1016/j.chaos.2008.02.016 ↗
22. Chaotic dynamics of modified Wien bridge oscillator with fractional order memristor10.13164/re.2019.0165 ↗
23. Song, Y., Yuan, F., and Li, Y. (2019). Coexisting attractors and multistability in a simple memristive Wien-bridge chaotic circuit. Entropy, 21.10.3390/e21070678 ↗
24. Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters10.1109/ACCESS.2019.2896656 ↗
25. Chaos from phase-locked loops10.1109/31.1845 ↗
26. Subharmonics and chaos in a controlled switched-mode power converter10.1109/31.1858 ↗
27. Chaos phenomena in dc-dc converter and chaos control10.1016/j.proeng.2011.12.744 ↗
28. Study of chaos in the buck converter10.1109/81.481457 ↗
29. Study on bifurcation and chaos in boost converter based on energy balance model10.4236/epe.2009.11006 ↗
30. The state space mystery with negative load in multiple-valued logic
31. Multi-valued static memory with resonant tunneling diodes as natural source of chaos
32. Petrzela, J. (2018). Strange attractors generated by multiple-valued static memory cell with polynomial approximation of resonant tunneling diodes. Entropy, 20.10.3390/e20090697 ↗
33. On the existence of chaos in the electronically adjustable structures of state variable filters
34. Chaotic behavior of state variable filters with saturation-type integrators10.1049/el.2015.1563 ↗
35. Some simple chaotic flows10.1103/PhysRevE.50.R647 ↗
36. Simplest dissipative chaotic flow10.1016/S0375-9601(97)00088-1 ↗
37. Some simple chaotic jerk functions10.1119/1.18585 ↗
38. Synthesis of electronic circuits for simulating nonlinear dynamics10.1142/S0218127401002341 ↗
39. Karimov, T., Nepomuceno, E.G., Druzhina, O., Karimov, A., and Butusov, D. (2019). Chaotic oscillators as inductive sensors: Theory and practice. Sensors, 19.10.3390/s19194314 ↗
40. Current-mode network structures dedicated for simulation of dynamical systems with plane continuum of equilibrium
41. A polymeric micro-optical interface for flow monitoring in biomicrofluidics10.1063/1.3435333 ↗
42. Spread spectrum communication via chaos
43. Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization10.1016/S0960-0779(04)00542-9 ↗
44. Atypical transistor-based chaotic oscillators: Design, realization, and diversity10.1063/1.4994815 ↗