Trajectories escaping to infinity in finite time
نویسندگان
چکیده
منابع مشابه
Off to Infinity in Finite Time
Without collisions, could the Newtonian n-body problem of point masses eject a particle to infinity in finite time? This intriguing century-old concern, which has motivated several interesting and deep mathematical conclusions, was recently resolved by Xia (one of us, [X1, 2]) in his PhD dissertation; he proved that threedimensional examples exist for all n ≥ 5. Later, Gerver [G] asserted that ...
متن کاملA Novel Approach to Trace Time-Domain Trajectories of Power Systems in Multiple Time Scales Based Flatness
This paper works on the concept of flatness and its practical application for the design of an optimal transient controller in a synchronous machine. The feedback linearization scheme of interest requires the generation of a flat output from which the feedback control law can easily be designed. Thus the computation of the flat output for reduced order model of the synchronous machine with simp...
متن کاملFrom Now to Timelike Infinity on a Finite Grid
In the articles [1, 2, 3, 4] we presented a complete code for solving the conformal Einstein equations which will allow us to study many interesting questions about the global structure of spacetimes by performing numerical experiments. In the present paper we want to demonstrate some of the unique capabilities of this code by a simple example: We calculate the time evolution of gravitational w...
متن کاملCosmological Time, Entropy and Infinity
Time is a parameter playing a central role in our most fundamental modelling of natural laws. Relativity theory shows that the comparison of times measured by different clocks depends on their relative motion and on the strength of the gravitational field in which they are embedded. In standard cosmology, the time parameter is the one measured by fundamental clocks (i.e., clocks at rest with re...
متن کاملEscaping death to quiescence
Cancer recurrence is associated with treatment failure and is the main cause of death, 1 and thus remains to be a major clinical challenge. elevated level of the cyclin-dependent kinase 1 (CDK1) correlates with cancer recurrence and treatment resistance in patients with breast cancer or colorectal cancer. 2,3 it is proposed that defects in CDKs may lead to the accumulated genetic defects, which...
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: Proceedings of the American Mathematical Society
سال: 2017
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13377