Chaotic circuits have received considerable interest in the literature because they have been applied in numerous areas such as secure communications, robotics, image processing or random number generator. One of the most important research directions is constructing robust chaotic oscillators with simple structures. There are two kinds of simple chaotic oscillators: non-autonomous and autonomous oscillators. Autonomous systems show oscillations without excitation, otherwise excitation (besides energy supply) is needed. Note that an oscillator is not a perpetuum mobile but needs energy supply either an explicitely modeled source voltage or implicitely. The operational amplifiers might have a supply voltage not explicitely modeled.
In these examples simple systems are presented:
Lotka-Volterra | ![]() |
Van der Pol oscillator | ![]() |
Lorenz system | ![]() |
Roessler system | ![]() |
Chua's circuit | nonlinear conductor (two NICs) with partly negative slope![]() |
Chaotic diode circuit | [Pham2016] A simple chaotic circuit with a light-emitting diode![]() |
Chaotic oscillator | [Tamasevicius2005] A simple chaotic oscillator for educational purposes![]() |
Colpitts circuit | using a transistor (npn)![]() |
Shinriki oscillator | two antiparallel Z-diodes and nonlinear conductor (NIC) with partly negative slope![]() |
Jerk circuit | ![]() |
Rikitake system | ![]() |
Chuas Circuit with memristor | Replacing Chua's diode with a memristor![]() |
RLD resonant circuit | Dynamic diode model in parallel to the capacitor![]() |