B. V. Loginov
Index Terms
- Determination of the branching equation by its group symmetry—Andronov-Hopf bifurcation
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Stability and Hopf bifurcation of a Lorenz-like system
Hopf bifurcation is one of the important dynamical behaviors. It could often cause some phenomena, such as quasiperiodicity and intermittency. Consequently, chaos will happen due to such dynamical behaviors. Since chaos appears in the Lorenz-like system,...
The Andronov-Hopf bifurcation with weakly oscillating parameters
Consideration is given to the problem of local bifurcations in neighborhoods of stationary states of dynamical systems with parameters evolving according to the periodic law. Scenarios of the bifurcation behavior of the system are studied and criteria ...
Double Hopf bifurcation of coupled dissipative Stuart-Landau oscillators with delay
In this paper, the double Hopf bifurcation of delay coupled dissipative Stuart-Landau oscillators models are considered, where the time delay is regarded as one of the parameters, and the other is the natural frequency. It is found that as the values of ...
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