The case of two-dimensional phase-space was worked out in detail by Andronov and his collaborators in the 1930s; see [191]. The corresponding analysis in an arbitrary (but finite) number of dimensions was published by Hopf in 1942 [192]. The same phenomenon is therefore also called ...
In opposite to the smooth case the closed invariant curve is not a smooth, but a piecewise linear set, appearing not a neighbourhood of the fixed point, as it may be very far from it. The position of the closed invariant curve depends on the distance of the fixed point from the ...
Angle between side branch and main vessel is >70º; side branch access may be difficult, but plaque shift less pronounced. Type 1–4 lesions Type 1—True bifurcation lesion involving main vessel, proximal and distal to the side branch, and the ostium of the side branch. ...
Numerical integration revealed only bistability of steady states, as desired, but numerical bifurcation analysis reveals a sizeable region in the previously investigated subset of parameter space on which oscillatory behavior exists. 展开 关键词: Bifurcations Numerical analysis Reaction mechanisms Chemical ...
Multistability means the coexistence of two or more attractors under different initial conditions but with the same parameter set (Azar et al., 2018; Wang et al., 2017). It is an interesting phenomenon and can usually be found in many nonlinear dynamical systems. It is known that multistabilit...
By employing the Lyapunov–Schmidt reduction method, we not only establish the existence, multiplicity and stability of spatially nonhomogeneous steady-state solutions, but also obtain some sufficient conditions ensuring the occurrence of a Hopf bifurcation at the steady-state solutions. It is observed ...
My two sticks will only heat up if I'm speedtesting them while the ZTD Dual Pro heatsink/cover is off and they're only receiving open-case airflow. The same concepts would hold true with your ZTD Quad Pro but you'd get even better cooling due to its fa...
Bifurcation does not affect the party structure of the suit itself, but merely allows multiple trials inside of one suit. Conversely, the court may allow combination, which permits two separate suits to be joined together in a single trial. This is done through Rule 42.Bifurcation is distinctly...
a可利用的垃圾 But use trash[translate] ainidications ; aids,assists or helps in the maintenance of general well being. inidications ; 援助,协助 或帮助 将军井维护是。[translate] a— What are they making? -他们做什么?[translate] ato check the stock for 检查股票为[translate] ...
The third year we reserve to explore perturbations of general analytic maps (i.e. other than the quadratic family), but also to answer remaining as well as newly raised issues of the first two years. We remark that because of the nature of the problem (with its several rather independent ...