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Self-sustained mechanical vibrations of a disc-type micro-fabricated resonator were experimentally observed when a con-tinuous wave (CW) laser beam was focused on the periphery of the disc (for a 40 μ...
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The ...
Hopf bifurcations have been studied intensively in two dimensional vector fields with one slow and one fast variable [′E. Benoˆıt et al., Collect. Math., 31 (1981), pp. 37–119; F. Dumortier...
Rotating waves are periodic solutions in SO(2) equivariant dynamical systems. Their precession frequency changes with parameters and it may change sign, passing through zero. When this happens, the dy...
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits from stab...
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits from stab...
摘要 In this paper we give an applicable parameter formula about the bifurcationand stability of periodic solution for a four-dimensional differential system. By using thisresult in a simple electronic ...

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