التفاصيل البيبلوغرافية
| العنوان: |
Homoclinic and heteroclinic bifurcations in piecewise smooth systems via stability-changing method. |
| المؤلفون: |
Liu, Shanshan, Han, Maoan |
| المصدر: |
Computational & Applied Mathematics; Jul2024, Vol. 43 Issue 5, p1-24, 24p |
| مصطلحات موضوعية: |
LIMIT cycles, POINCARE maps (Mathematics), BIFURCATION theory, LINEAR systems, STABILITY criterion |
| مستخلص: |
In this paper, we study limit cycle bifurcations near homoclinic and heteroclinic loops in piecewise smooth systems with three zones separated by two parallel straight lines. By introducing suitable Poincaré map near a homoclinic loop, we derive some stability criteria and establish bifurcation theory of limit cycles via stability-changing method near homoclinic and heteroclinic loops, respectively. As applications, we give two examples, which consider a class of Liénard piecewise linear differential systems. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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