Title :
Property of the double heteroclinic tangency crisis in a forced PLL equation
Author :
Ohno, Wataru ; Endo, Tetsuro
Author_Institution :
Dept. of Electr. & Electron. Eng., Toyota Coll. of Technol., Japan
Abstract :
In this paper, we investigate the property of the double heteroclinic tangency crisis observed in a forced PLL equation. In particular, we calculate the average intermittent switching time ⟨τ⟨p1⟩⟩ for the P1-strange set, that for the P2-strange set ⟨τp2⟩, and that for the P1 & P 2 strange set ⟨τ⟩ with respect to the external amplitude m under the condition of Ω being constant
Keywords :
bifurcation; phase locked loops; P1-strange set; P2-strange set; double heteroclinic tangency crisis; forced PLL equation; global bifurcation; intermittent switching time; nonlinear system; Bifurcation; Chaos; Educational institutions; Nonlinear equations; Nonlinear systems; Phase locked loops;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921300