A vast amount of various invariant tori in the Nosé-Hoover oscillator

2015 ◽  
Vol 25 (12) ◽  
pp. 123110 ◽  
Author(s):  
Lei Wang ◽  
Xiao-Song Yang
Keyword(s):  
SUHUF ◽  
2015 ◽  
Vol 3 (1) ◽  
pp. 69-83
Author(s):  
Novita Siswayanti

The stories in Qur'an are Allah’s decrees which convey more beau-tiful values beyond any religious text ever written. It is the holiest scripture and is written  in a wonderful, understandable, and attract-ive language humbly conveying a vast amount of information about life and events that happened in the past. It’s aim is to be an object of reflection for human beings living in this age and the future. Even more so, the stories in Al-Qur'an also entail an educative function providing learning materials,  and teaching methods, regarding the transformative power of Islam and the internalization of true religious values.


Author(s):  
Peter Mann

This chapter examines the structure of the phase space of an integrable system as being constructed from invariant tori using the Arnold–Liouville integrability theorem, and periodic flow and ergodic flow are investigated using action-angle theory. Time-dependent mechanics is formulated by extending the symplectic structure to a contact structure in an extended phase space before it is shown that mechanics has a natural setting on a jet bundle. The chapter then describes phase space of integrable systems and how tori behave when time-dependent dynamics occurs. Adiabatic invariance is discussed, as well as slow and fast Hamiltonian systems, the Hannay angle and counter adiabatic terms. In addition, the chapter discusses foliation, resonant tori, non-resonant tori, contact structures, Pfaffian forms, jet manifolds and Stokes’s theorem.


2021 ◽  
Vol 277 ◽  
pp. 234-274
Author(s):  
Xinyu Guan ◽  
Jianguo Si ◽  
Wen Si

1899 ◽  
Vol 31 (4) ◽  
pp. 73-76
Author(s):  
F. M. Webster

With the constantly increasing activity in applied entomology in America, the necessity for rooms or apartments especially adapted for the study of the development of insects is becoming each year more imperative. The insectary has, in fact, become almost as necessary to the working entomologist as has the laboratory to the chemist. While it is especially true in entomological investigations that one must “study nature where nature is,” it is equally true that on cannot, in all cases, watch with the necessary care and constant application in the fields that he will be able to do in a faily well equipped insectary. Not only can forms be transported thousands of miles while in an inactive state and their development watched at close range, as it were, but eggs and larvae may be brought in during late autumn or winter and studied through their various stages, frequently long before they have appeared outside; and in cases of uncommon or unfamiliar forms this will give the investigator a vast amount of information that he can use to great advantage when the species appears in the fields under a natural condition, perhaps months later.


Journalism ◽  
2021 ◽  
pp. 146488492110352
Author(s):  
Timo Harjuniemi

After the financial crisis, journalism scholarship has extensively pointed out how the journalistic debate on economic policy has been dominated by a strong emphasis on austerity and a limited range of elite sources. Building on 19 semi-structured interviews with Finnish political and economic journalists, this article examines how journalists themselves evaluate the pluralism of the economic policy debate. This article shows how journalists covering economic policy are critical when evaluating the level of pluralism in economic journalism, referring to a narrow range of expert sources and a widely shared economic policy consensus. These findings testify to the ability of ‘primary definers’ to set the boundaries of ‘legitimate controversy’ in economic journalism. Also, the interviews show how ruptures in economic policy, such as the COVID-19 pandemic and the resulting vast amount of monetary and fiscal stimulus, create space for more pluralism in economic journalism.


1888 ◽  
Vol 14 ◽  
pp. 118-121
Author(s):  
John Aitken

In the many theories that have been advanced to explain the comparative constancy of solar radiation in long past ages as evidenced by geological history, it has been generally assumed that the temperature of the sun has not varied much, and to account for its not falling in temperature a number of theories have been advanced, all suggesting different sources from which it may have received the energy which it radiates as heat. Since the chemical theory was shown to be insufficient to account for the vast amount of heat radiated, other theories, such as the meteoric theory and the conservation of energy theory, have been advanced.


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