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George M. Zaslavsky
George M. Zaslavsky (Cyrillic: Георгий Моисеевич Заславский) (31 May 1935 – 25 November 2008) was a Soviet mathematical physicist and one of the founders of the physics of dynamical chaos. at Early life Zaslavsky was born in on 31 May 1935. His father was an artillery officer who dragged his cannon in and survived there. Zaslavsky received his edu ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Odessa
Odesa (also spelled Odessa) is the third most populous city and municipality in Ukraine and a major seaport and transport hub located in the south-west of the country, on the northwestern shore of the Black Sea. The city is also the administrative centre of the Odesa Raion and Odesa Oblast, as well as a multiethnic cultural centre. As of January 2021 Odesa's population was approximately In classical antiquity a large Greek settlement existed at its location. The first chronicle mention of the Slavic settlement-port of Kotsiubijiv, which was part of the Grand Duchy of Lithuania, dates back to 1415, when a ship was sent from here to Constantinople by sea. After a period of Lithuanian Grand Duchy control, the port and its surroundings became part of the domain of the Ottomans in 1529, under the name Hacibey, and remained there until the empire's defeat in the Russo-Turkish War of 1792. In 1794, the modern city of Odesa was founded by a decree of the Russian empress Catherine t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roald Sagdeev
Roald Zinnurovich Sagdeev (russian: Роальд Зиннурович Сагдеев, tt-Cyrl, Роальд Зиннур улы Сәгъдиев; born 26 December 1932) is a Russian expert in plasma physics and a former director of the Space Research Institute of the USSR Academy of Sciences.russianBiography} He was also a science advisor to the Soviet President Mikhail Gorbachev. Sagdeev graduated from Moscow State University. He is a member of both the Russian Academy of Sciences and the American Philosophical Society. He has worked at the University of Maryland, College Park since 1989 in the University of Maryland College of Computer, Mathematical, and Natural Sciences. He is also currently a Senior Advisor at the Albright Stonebridge Group, a global strategy firm, where he assists clients with issues involving Russia and countries in the former Soviet Union. Sagdeev was married to, and divorced from, Susan Eisenhower, granddaughter of Dwight D. Eisenhower. Sagdeev was the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Chaos
Quantum chaos is a branch of physics which studies how chaos theory, chaotic classical dynamical systems can be described in terms of quantum theory. The primary question that quantum chaos seeks to answer is: "What is the relationship between quantum mechanics and classical chaos?" The correspondence principle states that classical mechanics is the classical limit of quantum mechanics, specifically in the limit as the ratio of Planck's constant to the Action (physics), action of the system tends to zero. If this is true, then there must be quantum mechanisms underlying classical chaos (although this may not be a fruitful way of examining classical chaos). If quantum mechanics does not demonstrate an exponential sensitivity to initial conditions, how can exponential sensitivity to initial conditions arise in classical chaos, which must be the correspondence principle limit of quantum mechanics?''Quantum Signatures of Chaos'', Fritz Haake, Edition: 2, Springer, 2001, , .Michae ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Krasnoyarsk
Krasnoyarsk ( ; rus, Красноя́рск, a=Ru-Красноярск2.ogg, p=krəsnɐˈjarsk) (in semantic translation - Red Ravine City) is the largest city and administrative center of Krasnoyarsk Krai, Russia. It is situated along the Yenisey River, and is the second-largest city in Siberia after Novosibirsk, with a population of over 1.1 million. Krasnoyarsk is an important junction of the renowned Trans-Siberian Railway, and is one of the largest producers of aluminium in the country. The city is known for its natural landscape; author Anton Chekhov judged Krasnoyarsk to be the most beautiful city in Siberia. The Stolby Nature Sanctuary is located 10 km south of the city. Krasnoyarsk is a major educational centre in Siberia, and hosts the Siberian Federal University. In 2019, Krasnoyarsk was the host city of the 2019 Winter Universiade, the third hosted in Russia. Geography The total area of the city, including suburbs and the river, is .Poexaly.ru. Krasnoyars ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet Dissidents
Soviet dissidents were people who disagreed with certain features of Soviet ideology or with its entirety and who were willing to speak out against them. The term ''dissident'' was used in the Soviet Union in the period from the mid-1960s until the fall of communism.Chronicle of Current Events (samizdat) It was used to refer to small groups of marginalized intellectuals whose challenges, from modest to radical to the Soviet regime, met protection and encouragement from correspondents and typically criminal prosecution or other forms of silencing by the authorities. Following the etymology of the term, a dissident is considered to "sit apart" from the regime. As dissenters began self-identifying as ''dissidents'', the term came to refer to an individual whose non-conformism was perceived to be for the good of a society. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phase Space
In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space. For mechanical systems, the phase space usually consists of all possible values of position and momentum variables. It is the outer product of direct space and reciprocal space. The concept of phase space was developed in the late 19th century by Ludwig Boltzmann, Henri Poincaré, and Josiah Willard Gibbs. Introduction In a phase space, every degree of freedom or parameter of the system is represented as an axis of a multidimensional space; a one-dimensional system is called a phase line, while a two-dimensional system is called a phase plane. For every possible state of the system or allowed combination of values of the system's parameters, a point is included in the multidimensional space. The system's evolving state over time traces a path (a phase-space trajectory for the system) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integrable System
In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first integrals, such that its behaviour has far fewer degrees of freedom than the dimensionality of its phase space; that is, its evolution is restricted to a submanifold within its phase space. Three features are often referred to as characterizing integrable systems: * the existence of a ''maximal'' set of conserved quantities (the usual defining property of complete integrability) * the existence of algebraic invariants, having a basis in algebraic geometry (a property known sometimes as algebraic integrability) * the explicit determination of solutions in an explicit functional form (not an intrinsic property, but something often referred to as solvability) Integrable systems may be seen as very different in qualitative character from mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Degrees Of Freedom (physics And Chemistry)
In physics and chemistry, a degree of freedom is an independent physical parameter in the formal description of the state of a physical system. The set of all states of a system is known as the system's phase space, and the degrees of freedom of the system are the dimensions of the phase space. The location of a particle in three-dimensional space requires three position coordinates. Similarly, the direction and speed at which a particle moves can be described in terms of three velocity components, each in reference to the three dimensions of space. If the time evolution of the system is deterministic (where the state at one instant uniquely determines its past and future position and velocity as a function of time) such a system has six degrees of freedom. If the motion of the particle is constrained to a lower number of dimensions – for example, the particle must move along a wire or on a fixed surface – then the system has fewer than six degrees of freedom. On the oth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ergodic Theory
Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expressed through the behavior of time averages of various functions along trajectories of dynamical systems. The notion of deterministic dynamical systems assumes that the equations determining the dynamics do not contain any random perturbations, noise, etc. Thus, the statistics with which we are concerned are properties of the dynamics. Ergodic theory, like probability theory, is based on general notions of measure theory. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical system when it is allowed to run for a long time. The first result in this direction is the Poincaré recurrence theorem, which claims that almost all points in any subset of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dynamical Systems Theory
Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called ''continuous dynamical systems''. From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization where the equations of motion are postulated directly and are not constrained to be Euler–Lagrange equations of a least action principle. When difference equations are employed, the theory is called ''discrete dynamical systems''. When the time variable runs over a set that is discrete over some intervals and continuous over other intervals or is any arbitrary time-set such as a Cantor set, one gets dynamic equations on time scales. Some situations may also be modeled by mixed operators, such as differential-difference equations. This theory deals with the long-term qualitative behav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uspekhi Fizicheskikh Nauk
''Physics-Uspekhi'' is a peer-reviewed scientific journal. It is an English translation of the Russian journal of physics, ''Uspekhi Fizicheskikh Nauk'' (russian: Успехи физических наук, ''Advances in Physical Sciences'') which was established in 1918. The journal publishes long review papers which are intended to generalize and summarize previously published results, making them easier to use and to understand. The journal covers all topics of modern physics. The English version has existed since 1958, first under the name ''Soviet Physics Uspekhi'' and after 1993 as ''Physics-Uspekhi''. The year 2008 marked the 90th birthday with a jubilee retrospective. The founder of the journal, Eduard Shpolsky, was editor-in-chief from 1918 to his death in 1975. Vitaly Ginzburg, connected with the journal since before World War II, was appointed editor-in-chief in 1998. In his 2006 Nobel autobiography, Ginzburg called it "a good and useful journal" and credited its "mainte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hamiltonian System
A Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system such as a planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory. Overview Informally, a Hamiltonian system is a mathematical formalism developed by Hamilton to describe the evolution equations of a physical system. The advantage of this description is that it gives important insights into the dynamics, even if the initial value problem cannot be solved analytically. One example is the planetary movement of three bodies: while there is no closed-form solution to the general problem, Poincaré showed for the first time that it exhibits deterministic chaos. Formally, a Hamiltonian system is a dynamical system characterised by the scalar function H(\boldsymbol,\boldsymbol,t), also known as the Hamiltonian. The state of the system, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
