Comparative Analysis of Numerically Computed Chaos Diagrams in Duffing Oscillator
نویسندگان
چکیده
منابع مشابه
Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control
Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...
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The bifurcation structure of a constraint Duffing van der Pol oscillator with a diode is analyzed and an objective bifurcation diagram is illustrated in detail in this work. An idealized case, where the diode is assumed to operate as a switch, is considered.In this case, the Poincaré map is constructed as a one dimensional map: a circle map. The parameter boundary between a torusgenerating regi...
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In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...
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ژورنال
عنوان ژورنال: Journal of Mechanical Engineering and Automation
سال: 2012
ISSN: 2163-2405
DOI: 10.5923/j.jmea.20120204.01