標(biāo)題: Titlebook: Construction of Mappings for Hamiltonian Systems and Their Applications; Sadrilla S. Abdullaev Book 2006 Springer-Verlag Berlin Heidelberg [打印本頁(yè)] 作者: 縮寫 時(shí)間: 2025-3-21 17:08
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications影響因子(影響力)
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications影響因子(影響力)學(xué)科排名
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications網(wǎng)絡(luò)公開度
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications被引頻次
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications被引頻次學(xué)科排名
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications年度引用
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications年度引用學(xué)科排名
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications讀者反饋
書目名稱Construction of Mappings for Hamiltonian Systems and Their Applications讀者反饋學(xué)科排名
作者: subacute 時(shí)間: 2025-3-21 20:15
Lecture Notes in Physicshttp://image.papertrans.cn/c/image/236080.jpg作者: ascend 時(shí)間: 2025-3-22 02:06 作者: 表臉 時(shí)間: 2025-3-22 06:00
https://doi.org/10.1007/978-3-531-92140-2clude a motion in a double–well potential, dynamics of the periodicallydriven oscillator. We consider also the dynamics of particles near the separatrix of long–range potential field. These problems are a motion of particle in a periodically–driven Morse potential and the Kepler problem.作者: 冒失 時(shí)間: 2025-3-22 11:31
Ungleiche Netzwerke - Vernetzte Ungleichheitant role. These areas are related to the problems of ray propagation in waveguide media, particle acceleration and planetary motion. In a good approximation these problems are described by Hamiltonian systems, and therefore they can be studied by Hamiltonian mappings.作者: Abjure 時(shí)間: 2025-3-22 13:35
Mappings Near Separatrix. Examples,clude a motion in a double–well potential, dynamics of the periodicallydriven oscillator. We consider also the dynamics of particles near the separatrix of long–range potential field. These problems are a motion of particle in a periodically–driven Morse potential and the Kepler problem.作者: Abjure 時(shí)間: 2025-3-22 17:11
Miscellaneous,ant role. These areas are related to the problems of ray propagation in waveguide media, particle acceleration and planetary motion. In a good approximation these problems are described by Hamiltonian systems, and therefore they can be studied by Hamiltonian mappings.作者: Invigorate 時(shí)間: 2025-3-22 23:47 作者: FOLLY 時(shí)間: 2025-3-23 02:56
978-3-642-06812-6Springer-Verlag Berlin Heidelberg 2006作者: antiquated 時(shí)間: 2025-3-23 07:40 作者: 商業(yè)上 時(shí)間: 2025-3-23 13:00
Die Gewissheit unsicherer Zeitenperturbation of the integrable system. To study perturbed systems special theoretical methods, known as ., have been developed. They are based on the assumption that the solutions of a perturbed system are close to the corresponding solutions of the unperturbed (integrable) system, and one seeks the作者: hermitage 時(shí)間: 2025-3-23 15:14
Die Gewissheit unsicherer Zeiten preface mappings significantly simplify the study of systems, by reducing the dimension of the system by one, visualizing the orbits on certain sections of phase space, and thus simplifying the formulation of many concepts of dynamical systems. In this chapter we review the traditional methods to c作者: Affectation 時(shí)間: 2025-3-23 19:12
Die Gewissheit unsicherer Zeitensystems affected by perturbations. The method is based on the Hamilton–Jacobi method for integrating Hamiltonian equations and Jacobi’s theorem recalled in Sect. 1.2.2. As we have seen there the idea of the Hamilton–Jacobi method consists of finding such a canonical change of variables which reduces作者: 越自我 時(shí)間: 2025-3-24 01:56
https://doi.org/10.1007/978-3-531-92140-2any small time-periodic perturbation splits the separatrices corresponding to stable and unstable manifolds which leads to the onset of chaotic motion due to the exponential divergence of orbits with close initial conditions. This phenomenon creates the zone of phase space in the small vicinity of t作者: NATAL 時(shí)間: 2025-3-24 03:27
https://doi.org/10.1007/978-3-531-92140-2clude a motion in a double–well potential, dynamics of the periodicallydriven oscillator. We consider also the dynamics of particles near the separatrix of long–range potential field. These problems are a motion of particle in a periodically–driven Morse potential and the Kepler problem.作者: anthropologist 時(shí)間: 2025-3-24 07:58
Klaus-Ove Kahrmann,Peter Bendixeniltonian systems in which a so-called . is violated. Particular example of these system is a one–degree-of-freedom system with a non-monotonic dependence of the frequency of oscillations on action variable. The second problem is a study of systems subjected to non-smooth perturbations. These problem作者: Aerate 時(shí)間: 2025-3-24 13:42
Klaus-Ove Kahrmann,Peter Bendixen It forms a stochastic layer, a zone, of chaotically unstable motion near the unperturbed separatrix. In this section we study important properties of the stochastic layer, namely, a rescaling invariance of phase space of systems near the saddle points. This property of motion is generic for typical作者: 持續(xù) 時(shí)間: 2025-3-24 15:40
Ungleiche Netzwerke - Vernetzte Ungleichheitdevices in a quest for the controlled fusion.. Actually, a fusion research in early sixties gave a huge impact on the development of Hamiltonian dynamics, particularly, on mapping methods. Since, particles predominantly follow magnetic field lines the determination of their structure is important to作者: 縫紉 時(shí)間: 2025-3-24 21:27
Ungleiche Netzwerke - Vernetzte Ungleichheitic field lines in so-called ergodic and poloidal divertor tokamaks using mappings. We shall study the general structure of magnetic field, chaotic and statistical properties of field lines in ergodic divertor tokamaks. Mappings constitute an important and computationally efficient tool to study magn作者: languid 時(shí)間: 2025-3-25 02:02 作者: 令人悲傷 時(shí)間: 2025-3-25 07:17 作者: –scent 時(shí)間: 2025-3-25 11:16
Ungleiche Netzwerke - Vernetzte UngleichheitIn this chapter we study the statistical properties of chaotic motion in a stochastic layer in the context of their relation with the structure of phase space near saddle points. Before discussing this problem we briefly recall the statistical methods of description of chaotic transport in a stochastic layer of dynamical systems.作者: 注意到 時(shí)間: 2025-3-25 12:11 作者: deactivate 時(shí)間: 2025-3-25 18:49
0075-8450 electromagnetism.Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical proble作者: cravat 時(shí)間: 2025-3-25 20:01 作者: 藝術(shù) 時(shí)間: 2025-3-26 00:22
https://doi.org/10.1007/978-3-531-92140-2 due to the exponential divergence of orbits with close initial conditions. This phenomenon creates the zone of phase space in the small vicinity of the unperturbed separatrix, so-called a . where the motion of system is chaotic (see Sect. 7.1.3).作者: JAUNT 時(shí)間: 2025-3-26 04:22 作者: Sinus-Rhythm 時(shí)間: 2025-3-26 12:08
Klaus-Ove Kahrmann,Peter Bendixen and the phase space coordinates (.) → (λ., λ.). The rescaling parameter . depends only on the frequency of perturbation, ., and the divergence exponent . of unperturbed orbits near the saddle point, . = exp(2.). It means that the topology of phase space near the saddle point is a periodic function of log . with the certain period, log ..作者: 有害處 時(shí)間: 2025-3-26 14:48 作者: GLUT 時(shí)間: 2025-3-26 19:57
Rescaling Invariance of Hamiltonian Systems Near Saddle Points, and the phase space coordinates (.) → (λ., λ.). The rescaling parameter . depends only on the frequency of perturbation, ., and the divergence exponent . of unperturbed orbits near the saddle point, . = exp(2.). It means that the topology of phase space near the saddle point is a periodic function of log . with the certain period, log ..作者: NOMAD 時(shí)間: 2025-3-26 22:37 作者: Limerick 時(shí)間: 2025-3-27 03:25 作者: Tractable 時(shí)間: 2025-3-27 07:46 作者: craven 時(shí)間: 2025-3-27 11:04 作者: 字形刻痕 時(shí)間: 2025-3-27 15:24 作者: alleviate 時(shí)間: 2025-3-27 20:32
Basics of Hamiltonian Mechanics,n-angle formalism to integrate the equations of motion. These methods will be illustrated with the example of the pendulum. Finally, we shall shortly discuss modern methods of numerical symplectic integration of Hamiltonian systems.作者: 粗鄙的人 時(shí)間: 2025-3-28 01:32 作者: 有發(fā)明天才 時(shí)間: 2025-3-28 04:58 作者: 通便 時(shí)間: 2025-3-28 09:56 作者: 的闡明 時(shí)間: 2025-3-28 10:54 作者: Oligarchy 時(shí)間: 2025-3-28 14:35 作者: 不吉祥的女人 時(shí)間: 2025-3-28 21:56
Die Gewissheit unsicherer Zeitenonstruct symplectic maps for generic continuous Hamiltonian systems. We consider the generic Hamiltonian system (2.2) with small time-periodic perturbations. We shall discuss the main difficulties to construct mappings from Hamiltonian equations, and the shortcomings.作者: 卵石 時(shí)間: 2025-3-29 00:30 作者: 豐滿中國(guó) 時(shí)間: 2025-3-29 03:36
Die Gewissheit unsicherer Zeiten function .(.). It means that the time evolution of system (.(.), .(.)) can be found through its initial position (.(.), .(.)) by the forward, (.(.), .(.)) → (.(.), .(.)), and the backward, (.(.), .(.)) → (.(.), .(.)), canonical transformations (1.20) given by the generating function .(.,., .) taken作者: adumbrate 時(shí)間: 2025-3-29 10:17
Ungleiche Netzwerke - Vernetzte Ungleichheitom (see, e.g., Cary and Littlejohn (1983); Boozer (1983); Morrison (2000)). The Hamiltonian formulation of magnetic field lines has been instrumental in early studies of the problems of stability and destruction of magnetic surfaces in tokamaks and stellarators due to the presence of magnetic pertur作者: Intruder 時(shí)間: 2025-3-29 12:29
Construction of Mappings for Hamiltonian Systems and Their Applications作者: LANCE 時(shí)間: 2025-3-29 15:54 作者: Organonitrile 時(shí)間: 2025-3-29 21:05
Magnetic Field Lines in Fusion Plasmas,om (see, e.g., Cary and Littlejohn (1983); Boozer (1983); Morrison (2000)). The Hamiltonian formulation of magnetic field lines has been instrumental in early studies of the problems of stability and destruction of magnetic surfaces in tokamaks and stellarators due to the presence of magnetic pertur作者: 改良 時(shí)間: 2025-3-30 01:58 作者: predict 時(shí)間: 2025-3-30 06:47
Perturbation Theory for Nearly Integrable Systems,perturbation of the integrable system. To study perturbed systems special theoretical methods, known as ., have been developed. They are based on the assumption that the solutions of a perturbed system are close to the corresponding solutions of the unperturbed (integrable) system, and one seeks the
