Some global stability results as well as the boundedness of solutions are derived by using a suitably defined Lyapunov functional. We show the existence of both supercritical and subcritical Hopf bifurcations. We demonstrate that the number of all bifurcation diagrams is 8 but that the possible ...
A classical graphical method is easily adapted to carry on the continuation of the oscillatory branches to depict the local bifurcation diagrams. Moreover, several higher-order harmonic balance approximations are implemented to compare the accuracy of the computed solutions. The results are presented ...
A clade is a specific part of the cladogram that includes the recent ancestor and its descendants. It can be indicated by marking out a particular node and all of its associated branches. 4. Branches The branches indicate the bifurcation of the root into nodes. Links between the organisms ...
And the dynamical behaviors of these systems are theoretically analyzed and numerically simulated, such as analysis of equilibria and their stability, Lyapunov exponent spectra and bifurcation diagrams. Moreover, a corresponding electronic circuit is designed based on the 4D chaotic system. The hardware ...
Based on the regional bifurcation, the market is segmented into North America, Latin America, Europe, Asia Pacific, and Middle East & Africa. The market is further segmented into types, applications, end-use, key manufacturers, regions, and ...
Some global stability results as well as the boundedness of solutions are derived by using a suitably defined Lyapunovfunctional. We show the existence of both supercritical andsubcritical Hopf bifurcations. We demonstrate that the number of allbifurcation diagrams is 8 but that the possible sequential...
Topological classification of bifurcation sets (separatrices) and phase diagrams of the model are performed. It is shown that there are two critical values of the field: at the smaller value the isostructural phase transition of nematic-paranematic (N-pN) type cannot be realized and at the ...
Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.doi:10.1007/s10958-021-05658-yE. I. StepanovaSpringer USJournal of mathematical sciences...
Nishimura. An algebraic formula for the topological types of one parameter bifurcations diagrams. Arch. Rational Mech. Anal. 108 (1989), 247-265.K. Aoki, T. Fukuda, T. Nishimura, An algebraic formula for the topolog- ical types of one parameter bifurcation diagrams, Archive for Rational ...
This paper is dedicated to investigation of different types of instabilities in switching power converters under peak current mode control on the basis of improved discrete-time model. The general aspects of construction of complete bifurcation diagrams are supplemented by examples of...