{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T07:59:54Z","timestamp":1767167994551,"version":"build-2238731810"},"reference-count":38,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2000,8]]},"abstract":"<jats:p>\n                    In this paper we study the dynamics of a fourth-order autonomous nonlinear electric circuit with two active elements, one linear negative conductance and one nonlinear resistor with a symmetrical piecewise-linear v\u2013i characteristic. Using the capacitances C\n                    <jats:sub>1<\/jats:sub>\n                    and C\n                    <jats:sub>2<\/jats:sub>\n                    as the control parameters, we observe the phenomenon of antimonotonicity and the formation of \"bubbles\" in the development of bifurcations, resulting typically in reverse period-doubling sequences. We also find a crisis-induced intermittency, when the spiral attractor suddenly widens to a double-scroll attractor. We have plotted several bifurcation diagrams of reverse period-doubling sequences and computed the scaling parameter \u03b4 versus the control parameter C\n                    <jats:sub>2<\/jats:sub>\n                    for the different regimes, where bubbles evolve. Thus, besides the usual Feigenbaum constant \u03b4 \u2192 \u03b4\n                    <jats:sub>F<\/jats:sub>\n                    = 4.6692\u2026, we also observe, in some cases, a convergence of \u03b4 to [Formula: see text], as expected from theoretical considerations. Finally, by plotting a return map associated with one of the state variables, we demonstrate the strongly one-dimensional character of the dynamics and discuss the dependence of this map on the parameters of the system.\n                  <\/jats:p>","DOI":"10.1142\/s0218127400001171","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T07:50:07Z","timestamp":1050997807000},"page":"1903-1915","source":"Crossref","is-referenced-by-count":70,"title":["ANTIMONOTONICITY AND CHAOTIC DYNAMICS IN A FOURTH-ORDER AUTONOMOUS NONLINEAR ELECTRIC CIRCUIT"],"prefix":"10.1142","volume":"10","author":[{"given":"I. 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