2 papers
math.DS2022
Limit Cycles Appearing from a Generalized Heteroclinic Loop with an Elementary Saddle and a Nilpotent Saddle by Perturbing Piecewise Hamiltonian Systems
Zhou Jin, Zhouchao Wei, Sishu Shankar Muni
In this paper, we study limit cycle bifurcations for a class of general near-Hamiltonian systems near a heteroclinic loop with an elementary saddle and a nilpotent saddle. Firstly,…
eess.SP2021
The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops
Nikolay V. Kuznetsov, Dmitry G. Arseniev, Mikhail V. Blagov +4
In the present work, a second-order type 2 PLL with a piecewise-linear phase detector characteristic is analysed. An exact solution to the Gardner problem on the lock-in range is o…