Double cusp encounter by Cluster: double cusp or motion of the cusp?
نویسندگان
چکیده
منابع مشابه
Cusp algebras
By a cusp V we shall mean the image of the unit disk D under a bounded injective holomorphic map h into C whose derivative vanishes at exactly one point. The simplest example is the Neil parabola, given by h(ζ) = (ζ, ζ). See [3, 4] for background and theory on the Neil parabola, which is pictured in Figure 1. A generalization of a cusp is a petal. A petal is the image of the unit disk D under a...
متن کاملUnfolding the Cusp-Cusp Bifurcation of Planar Endomorphisms
Abstract. In many applications of practical interest, for example, in control theory, economics, electronics and neural networks, the dynamics of the system under consideration can be modelled by an endomorphism, which is a discrete smooth map that does not have a uniquely defined inverse; one also speaks simply of a noninvertible map. In contrast to the better known case of a dynamical system ...
متن کاملThe Pulsating Cusp
Recent observations at the magnetopause and of the high-latitude ionosphere, suggest that the cusp may be pulsed in nature. Specifically ground-based observations in the dayside auroral oval reveal transient optical features accompanied by bursts of enhanced plasma flow. Also, recent interpretation has shown cusp satellite data to be consistent with a burst of enhanced reconnection. In this pap...
متن کاملThe Cusp-hopf bifurcation
The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold. It is based on truncated normal form equations, which have a phase-shift symmetry yielding a further reduction to a ...
متن کاملDynamical Cusp Regeneration
After being destroyed by a binary supermassive black hole, a stellar density cusp can regrow at the center of a galaxy via energy exchange between stars moving in the gravitational field of the single, coalesced hole. We illustrate this process via high-accuracy N-body simulations. Regeneration requires roughly one relaxation time and the new cusp extends to a distance of roughly one-fifth the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Geophysicae
سال: 2013
ISSN: 1432-0576
DOI: 10.5194/angeo-31-713-2013