New class of triangular wave oscillators

B. Z. Kaplan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The paper brings together a series of related models of triangular wave generators. The models are presented in an order of descending complexity and the relationship between them is demonstrated by considering the similarity in their structural topologies. The presentation applies a rather informal physical viewpoint without stressing mathematical rigorosity. Some of the models are new, while some have been recently described by the author (Kaplan 1977, Kaplan and Tatrash 1977).The main feature of the new models is that they operate in two phases with two integrators. They resemble, therefore, regular quadrature sinewave oscillators. They differ, however, from the usual triangular wave generators which rely on a hysteretic element installed in a feedback loop of a single integrator. One of the advantages of the models is the simultaneous production of two phases of triangular waves. This may be found applicable for the construction of certain electronic instruments.Another feature of the new generators is that although they produce triangular waves and square waves they do not operate as multivibrators, They operate as oscillators. They represent a special form of oscillators, and hence may demonstrate basic processes in the theory of oscillations. Furthermore, the models developed here are characterized in possessing relatively simple fundamental structures. As a result, they may be found as applicable for the investigation of oscillators as the fundamental van der Pol model and the other fundamental models related to it.

Original languageEnglish
Pages (from-to)1419-1424
Number of pages6
JournalInternational Journal of Systems Science
Issue number12
StatePublished - 1 Jan 1978

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications


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