標(biāo)題: Titlebook: Catastrophe Theory; Vladimir I. Arnold Book 1992Latest edition Springer-Verlag Berlin Heidelberg 1992 Bifurcations.Catastrophe Theory.Kata [打印本頁] 作者: Tyler 時(shí)間: 2025-3-21 17:23
書目名稱Catastrophe Theory影響因子(影響力)
書目名稱Catastrophe Theory影響因子(影響力)學(xué)科排名
書目名稱Catastrophe Theory網(wǎng)絡(luò)公開度
書目名稱Catastrophe Theory網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Catastrophe Theory被引頻次
書目名稱Catastrophe Theory被引頻次學(xué)科排名
書目名稱Catastrophe Theory年度引用
書目名稱Catastrophe Theory年度引用學(xué)科排名
書目名稱Catastrophe Theory讀者反饋
書目名稱Catastrophe Theory讀者反饋學(xué)科排名
作者: 誹謗 時(shí)間: 2025-3-21 23:19
are delayed loss of stability, cascades of period doublings and triplings, shock waves, implicit differential equationsand folded singularities, interior scattering, and more. Three new sections give an overview of the history of singularity theory and its applications from Leonardo da Vinci to modern times, 978-3-540-54811-9978-3-642-58124-3作者: 極小量 時(shí)間: 2025-3-22 04:27 作者: BILIO 時(shí)間: 2025-3-22 06:00
Singularities, Bifurcations, and Catastrophes,entary particles. Among the published works on catastrophe theory are studies of the stability of ships, models for the activity of the brain and mental disorders, for prison uprisings, for the behaviour of investors on the stock exchange, for the influence of alcohol on drivers and for censorship p作者: grounded 時(shí)間: 2025-3-22 08:57 作者: 終止 時(shí)間: 2025-3-22 14:25 作者: 終止 時(shí)間: 2025-3-22 18:22 作者: 褪色 時(shí)間: 2025-3-23 00:52 作者: 突變 時(shí)間: 2025-3-23 05:02
Symplectic and Contact Geometry, the various singularities in optimization and variational calculus problems) become understandable only within the framework of the geometry of symplectic and contact manifolds, which is refreshingly unlike the usual geometries of Euclid, Lobachevskij and Riemann.作者: Resistance 時(shí)間: 2025-3-23 08:56 作者: jovial 時(shí)間: 2025-3-23 13:04
https://doi.org/10.1007/978-3-031-46906-0In contrast to the example given above, the application of singularity theory to the study of bifurcations of equilibrium states in the theory of elasticity is irreproachably founded.作者: 并入 時(shí)間: 2025-3-23 14:30 作者: 兩棲動(dòng)物 時(shí)間: 2025-3-23 19:32
Markov Chain Monte Carlo MethodsLoss of stability of an equilibrium state on change of parameter is not necessarily associated with the bifurcation of this equilibrium state: it can lose stability not only by colliding with another state, but also by itself.作者: 侵略主義 時(shí)間: 2025-3-23 22:40 作者: 沉思的魚 時(shí)間: 2025-3-24 02:41
János Abonyi,László Nagy,Tamás RuppertA . in phase space is defined as follows: at every point of the space we have not just one velocity vector (as in the usual evolutionary system), but a whole set of vectors called the ..作者: 接觸 時(shí)間: 2025-3-24 10:31
János Abonyi,László Nagy,Tamás RuppertA smooth curve on the plane can have a tangent which touches it tangentially at any number of points, but this is not true for generic curves. By a small perturbation of the curve one can always achieve that no straight line will be tangential at more than two points.作者: 上腭 時(shí)間: 2025-3-24 11:45
Aleksandr Lobanov,Alexander GasnikovMathematicians know well that going over to the complex case usually simplifies a problem, rather than making it more complicated. For example, every algebraic equation of degree . has exactly . complex roots, while it is a difficult problem to find the number of real roots.作者: Gourmet 時(shí)間: 2025-3-24 17:21
,Whitney’s Singularity Theory,In 1955 the American mathematician Hassler Whitney published the article ‘Mappings of the plane into the plane‘, laying the foundations for a new mathematical theory - the theory of singularities of smooth mappings.作者: 駕駛 時(shí)間: 2025-3-24 22:23
A Catastrophe Machine,In contrast to the example given above, the application of singularity theory to the study of bifurcations of equilibrium states in the theory of elasticity is irreproachably founded.作者: 使尷尬 時(shí)間: 2025-3-25 00:33
Bifurcations of Equilibrium States,An . is described mathematically by a vector field in phase space. A point of phase space defines the . of the system. The vector at this point indicates the velocity of change of the state.作者: 原始 時(shí)間: 2025-3-25 07:22 作者: cochlea 時(shí)間: 2025-3-25 10:32
Singularities of the Stability Boundary and the Principle of the Fragility of Good Things,Let us consider an equilibrium state of a system depending on several parameters and let us assume that (in some domain of variation of the parameters) this equilibrium state does not bifurcate.作者: Cuisine 時(shí)間: 2025-3-25 13:37
Singularities of the Boundary of Attainability,A . in phase space is defined as follows: at every point of the space we have not just one velocity vector (as in the usual evolutionary system), but a whole set of vectors called the ..作者: Obvious 時(shí)間: 2025-3-25 19:25
Smooth Surfaces and Their Projections,A smooth curve on the plane can have a tangent which touches it tangentially at any number of points, but this is not true for generic curves. By a small perturbation of the curve one can always achieve that no straight line will be tangential at more than two points.作者: 不如樂死去 時(shí)間: 2025-3-25 21:55 作者: 徹底檢查 時(shí)間: 2025-3-26 03:08 作者: 母豬 時(shí)間: 2025-3-26 08:10 作者: neutrophils 時(shí)間: 2025-3-26 11:21 作者: 空洞 時(shí)間: 2025-3-26 12:53
https://doi.org/10.1007/978-3-031-47444-6 the obstacle consists of straight-line segments and segments of geodesics (curves of minimal length) on the surface of the obstacle. The geometry of the shortest paths is greatly affected by the various bendings of the obstacle surface.作者: Glaci冰 時(shí)間: 2025-3-26 19:26 作者: 敬禮 時(shí)間: 2025-3-26 22:44 作者: Androgen 時(shí)間: 2025-3-27 03:02 作者: extract 時(shí)間: 2025-3-27 07:41 作者: ZEST 時(shí)間: 2025-3-27 12:57
https://doi.org/10.1007/978-3-031-46684-7evolution in mathematics, comparable perhaps to Newton’s invention of the differential and integral calculus. It was claimed that the new science, catastrophe theory, was much more valuable to mankind than mathematical analysis: while Newtonian theory only considers smooth, continuous processes, cat作者: 現(xiàn)存 時(shí)間: 2025-3-27 16:33
https://doi.org/10.1007/978-3-031-46906-0ingularities of generic mappings, we can try to use this information to study large numbers of diverse phenomena and processes in all areas of science. This simple idea is the whole essence of catastrophe theory.作者: Acumen 時(shí)間: 2025-3-27 18:48 作者: Dorsal 時(shí)間: 2025-3-27 21:57
Cutting and Packaging Optimizationies and so on). Astrophysicists nowadays think that in the early stages of the development of the universe there was no such inhomogeneity. How did it come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent to 作者: 莎草 時(shí)間: 2025-3-28 02:24
János Abonyi,László Nagy,Tamás Rupperttion, control theory and decision theory. For instance, suppose we have to find . such that the value of a function .(.) is maximal. Under a smooth change of the function the optimal solution changes with a jump from one of the two competing maxima . to the other ..作者: Optic-Disk 時(shí)間: 2025-3-28 09:03
https://doi.org/10.1007/978-3-031-47444-6 the obstacle consists of straight-line segments and segments of geodesics (curves of minimal length) on the surface of the obstacle. The geometry of the shortest paths is greatly affected by the various bendings of the obstacle surface.作者: 有特色 時(shí)間: 2025-3-28 10:25
https://doi.org/10.1007/978-3-031-47686-0 the various singularities in optimization and variational calculus problems) become understandable only within the framework of the geometry of symplectic and contact manifolds, which is refreshingly unlike the usual geometries of Euclid, Lobachevskij and Riemann.作者: 善辯 時(shí)間: 2025-3-28 17:04
Aleksandr Lobanov,Alexander Gasnikovstigations of the Zeeman type, one has the more philosophical work of the mathematician René Thorn, who first recognized the all-encompassing nature of Whitney’s work on singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe’, and作者: Confound 時(shí)間: 2025-3-28 22:39 作者: Parameter 時(shí)間: 2025-3-29 01:30
ge of areas. Although the first few chapters touch briefly (and critically) on theThom-Zeeman catastrophe theory, most of the book is concerned with more recent and less controversial aspects, covering such topics as: bifurcations and stability loss, wavefront propagation, the distribution of matter作者: 充滿裝飾 時(shí)間: 2025-3-29 06:40
Cutting and Packaging Optimization come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent to the analysis of the formation of singularities of caustics begun in 1963 by E. M. Lifshitz, Khalatnikov and Sudakov.作者: evaculate 時(shí)間: 2025-3-29 07:28
Aleksandr Lobanov,Alexander Gasnikovf Whitney’s work on singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe’, and has engaged in a broad propaganda for catastrophe theory.作者: LURE 時(shí)間: 2025-3-29 13:35 作者: 有害 時(shí)間: 2025-3-29 15:49
The Mysticism of Catastrophe Theory,f Whitney’s work on singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe’, and has engaged in a broad propaganda for catastrophe theory.作者: Allowance 時(shí)間: 2025-3-29 21:34
Singularities, Bifurcations, and Catastrophes,evolution in mathematics, comparable perhaps to Newton’s invention of the differential and integral calculus. It was claimed that the new science, catastrophe theory, was much more valuable to mankind than mathematical analysis: while Newtonian theory only considers smooth, continuous processes, cat作者: genesis 時(shí)間: 2025-3-30 02:20
,Applications of Whitney’s Theory,ingularities of generic mappings, we can try to use this information to study large numbers of diverse phenomena and processes in all areas of science. This simple idea is the whole essence of catastrophe theory.作者: WATER 時(shí)間: 2025-3-30 05:30
Caustics, Wave Fronts, and Their Metamorphoses,rywhere and which it is useful to learn to recognise. As well as the previously enumerated singularities, one often meets some further types, which have been given their own names: the ‘.’. the ‘.’ (which Thorn calls the ‘.’) the ‘.’ (which Thorn calls the ‘.’) and so on.作者: miniature 時(shí)間: 2025-3-30 12:14
The Large-Scale Distribution of Matter in the Universe,ies and so on). Astrophysicists nowadays think that in the early stages of the development of the universe there was no such inhomogeneity. How did it come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent to 作者: 釘牢 時(shí)間: 2025-3-30 13:50 作者: Small-Intestine 時(shí)間: 2025-3-30 16:48 作者: Anticonvulsants 時(shí)間: 2025-3-30 23:20 作者: floaters 時(shí)間: 2025-3-31 04:55
The Mysticism of Catastrophe Theory,stigations of the Zeeman type, one has the more philosophical work of the mathematician René Thorn, who first recognized the all-encompassing nature of Whitney’s work on singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe’, and作者: 物質(zhì) 時(shí)間: 2025-3-31 06:50
10樓作者: Chagrin 時(shí)間: 2025-3-31 10:46
10樓作者: 挖掘 時(shí)間: 2025-3-31 17:20
10樓
