{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:38:22Z","timestamp":1760783902706},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,12]]},"abstract":"<jats:p>The memristor is referred to as the fourth fundamental passive circuit element of which inherent nonlinear properties offer to construct the chaos circuits. In this paper, a flux-controlled memristor circuit is developed, and then a van der Pol oscillator is implemented based on this new memristor circuit. The stability of the circuit, the occurring conditions of Hopf bifurcation and limit circle of the self-excited oscillation are analyzed; meanwhile, under the condition of the circuit with an external exciting source, the circuit exhibits a complicated nonlinear dynamic behavior, and chaos occurs within a certain parameter set. The memristor based van der Pol oscillator, furthermore, has been created by an analog circuit utilizing active elements, and there is a good agreement between the circuit responses and numerical simulations of the van der Pol equation. In the consequence, a new approach has been proposed to generate chaos within a nonautonomous circuit system.<\/jats:p>","DOI":"10.1142\/s0218127414501545","type":"journal-article","created":{"date-parts":[[2015,1,5]],"date-time":"2015-01-05T06:43:47Z","timestamp":1420440227000},"page":"1450154","source":"Crossref","is-referenced-by-count":17,"title":["Memristor Based van der Pol Oscillation Circuit"],"prefix":"10.1142","volume":"24","author":[{"given":"Yimin","family":"Lu","sequence":"first","affiliation":[{"name":"College of Electrical Engineering, Guangxi University, 100 Daxue Road, Nanning 530004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xianfeng","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Civil Engineering and Architecture, Guangxi University, 100 Daxue Road, Nanning 530004, P. R. 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