Bursting Dynamics in a Singular Vector Field with Codimension Three Triple Zero Bifurcation
نویسندگان
چکیده
As a kind of dynamical system with particular nonlinear structure, multi-time scale is one the essential directions current development dynamics theory. Multi-time systems in practical applications are often complex forms coupling high-dimensional and high codimension characteristics, leading to various bursting oscillation behaviors bifurcation characteristics system. For exploring caused by bifurcation, this paper considers normal form vector field triple zero bifurcation. Two kinds codimension-2 that may lead oscillations discussed two-parameter plane. Based on fast–slow analysis method, introducing slow variable W=Asin(ωt), evolution process motion trajectory changing W was investigated, mechanism several types revealed. Finally, varying frequency variable, class chaotic phenomena period-doubling cascade deduced. Developing related work has played positive role deeply understanding nature strengthening application basic disciplines such as mechanics mathematics engineering practice.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11112486