Replication of period-doubling route to chaos in impulsive systems
نویسندگان
چکیده
منابع مشابه
Period Doubling Route to Chaos
Chaos is exhibited in the diode resonator circuit due to the unrecombined charges that cross the p-n junction when the diode is in the forward bias mode. When the diode switches biases, the charges diffuse back to their original plate making the diode act as a capacitor. The larger the forward current, the greater the amount of charges that cross the junction and the longer the system will need...
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The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, since bifurcation diagrams of a map with a parameter often reveal a complicated intermingling of period-doubling cascades and chaos. Period doubling can be studied at three levels of complexity. The fi...
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A period-doubling cascade is often seen in numerical studies of those smooth (one-parameter families of) maps for which as the parameter is varied, the map transitions from one without chaos to one with chaos. Our emphasis in this paper is on establishing the existence of such a cascade for many maps with phase space dimension 2. We use continuation methods to show the following: under certain ...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2019
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2019.1.58