scholarly journals Analysis of the Strong and Weak Monotonic External Stability of the Resonance in a Perturbed Dynamical System

2021 ◽  
Vol 16 ◽  
pp. 180-191
Author(s):  
Vladislav V. Lyubimov

A perturbed dynamical system involving two ordinary differential equations is under review. Whereupon, the differential equation for determining the fast phase contains the ratio of the two frequencies. When these frequencies coincide for a long time, a resonance is implemented in this system. The aim of this paper is to obtain the conditions of monotonic external stability and instability of this resonance. The sufficient conditions for the external stability and instability of the resonance defined in this paper assume that the signs of the analyzed derivatives remain unchanged in the non-resonant section of the change in the independent variable. This paper gives a new classification of the phenomenon of external stability of resonance, which includes weak, linear, and strong stability. It should be noted that the conditions of monotonic external stability and instability of the resonance presented in this paper can be used in various scientific and technological problems, in which resonances are observed. Particularly, the concluding part of the paper considers the application of the results obtained within the framework of the problem of the perturbed motion of a rigid body relative to a fixed point.

2009 ◽  
Vol 53 (3) ◽  
pp. 351-369
Author(s):  
Alain Chiavelli ◽  
Michel Rainelli

Abstract The hypothesis of an equalization of sectorial rates of profit has an important role to play in the economic theory. Though it has been formulated a long time ago (A. Smith, D. Ricardo…), now as a definite principle (with its mechanism) and now as a postulate, it is however contradicted by statistical observation. There have been various answers to this problem. We propose to study it in a new light, emphasizing that the formulation of this "law" as well as its empirical evidence are registered within the traditional framework of activity sector. Then, we have to think about the latter as it has a fundamental role to play. But the activity sector is no longer a homogeneous category, for firms can considerably differentiate the conditions (technological and financial ones) of capital allowance, independently of any reference to the notion of product. Then, we must think over this problem, no longer wondering where this allowance of the capital is produced, but how. This brings us to propose the elaboration of a new classification of the firms, that leads to an analysis at an "intermediary level" other than the insufficient level that results from the division of the economy into activity sectors.


1993 ◽  
Vol 115 (3) ◽  
pp. 581-584 ◽  
Author(s):  
T. Patterson ◽  
H. Lipkin

The concept of compliant axes is developed from the compliance matrix eigenvalue problem. It is shown that the necessary and sufficient conditions for the existence of a compliant axis are two collinear eigenscrews with eigenvalues of equal magnitude and opposite sign. This leads to a new classification of compliance matrices based on the number of compliant axes. Selected matrices from the literature illustrate both the compliant axis concept and the classification.


Author(s):  
Thanh Nguyen Trung ◽  
Hồng Thị Phạm ◽  
Lộc Kế Phan

Abstract: Hymenophyllum Sm. is a largest genus in filmy ferns family, Hymenophyllaceae with around 250 species in the world. A long time ago, its diagnostic feature was bivalved involucres, but in 2006, A. Ebihara et al. combined between morphology method and molecular analyses to propose a new classification of Hymenophyllaceae, therefore, its diagnostic features are rhizomes long-creeping, nearly glabrous or sparsely covered with light-coloured hairs and involucres usually bivalvate. This classification system was accepted to revise 258 collecting numbers of specimens in Vietnam. The results have claimed that Hymenophyllum genus in Vietnam comprised 10 species. Each species was provided taxonomy, distribution in Vietnam, treatment specimens and photos.


1971 ◽  
Vol 12 (7) ◽  
pp. 262-266
Author(s):  
K. F. Chudoba
Keyword(s):  

2017 ◽  
Vol 1 (1) ◽  
pp. 56
Author(s):  
Nani Mulyati ◽  
Topo Santoso ◽  
Elwi Danil

The definition of person and non-person always change through legal history. Long time ago, law did not recognize the personality of slaves. Recently, it accepted non-human legal subject as legitimate person before the law. This article examines sufficient conditions for being person in the eye of law according to its particular purposes, and then, analyses the meaning of legal person in criminal law. In order to do that, scientific methodology that is adopted in this research is doctrinal legal research combined with philosophical approach. Some theories regarding person and legal person were analysed, and then the concept of person was associated with the accepted definition of legal person that is adopted in the latest Indonesian drafted criminal code. From the study that has been done, can be construed that person in criminal law concerned with norm adressat of the rule, as the author of the acts or omissions, and not merely the holder of rights. It has to be someone or something with the ability to think rationally and the ability to be responsible for the choices he/she made. Drafted penal code embraces human and corporation as its norm adressat. Corporation defined with broad meaning of collectives. Consequently, it will include not only entities with legal personality, but also associations without legal personality. Furthermore, it may also hold all kind of collective namely states, states bodies, political parties, state’s corporation, be criminally liable.


2020 ◽  
pp. 66-74
Author(s):  
E. Zakablukovskiy

The article highlights certain aspects of the discussion on the topic of reductionism vs. holism in the philosophy of medicine. Classic radical reductionism is defeated by the concept of emergence. The s.c. bio-medical point of view on a malady, despite its relevance and clear benefit, is not recognized as universal as its adherents may claim, and it yields to an integral psycho-bio-social model. The author introduces a new classification of holism (vitalistic, social and individualistic) and makes appropriate recommendations to clinicians. It is social holism at the macro level that has proven effective in combating the spread of COVID-19.


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