標(biāo)題: Titlebook: An Introduction to Dynamical Systems and Chaos; G. C. Layek Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), u [打印本頁(yè)] 作者: Fruition 時(shí)間: 2025-3-21 16:53
書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos影響因子(影響力)
書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
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書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos年度引用學(xué)科排名
書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos讀者反饋
書(shū)目名稱(chēng)An Introduction to Dynamical Systems and Chaos讀者反饋學(xué)科排名
作者: Heretical 時(shí)間: 2025-3-21 22:58
https://doi.org/10.1007/978-3-662-41370-8conjugacy relation, the transformation should be a homeomorphism (1–1, onto, bi-continuous), so that some topological structures are preserved. Naturally, it is a useful and also a wise trick to find conjugacy between a map and a simple?map. Besides conjugacy, the concept of semi-conjugacy is also u作者: champaign 時(shí)間: 2025-3-22 02:57
Das statisch bestimmte Stabwerk,re is a loss of information or loss of predictability in chaotic motion, and so several quantifying measures are discussed.?For example, the quantitative measure of the strangeness of a strange attractor is its fractal dimension. On the other hand, the boundary between chaotic/turbulence and regular作者: resuscitation 時(shí)間: 2025-3-22 07:44 作者: FISC 時(shí)間: 2025-3-22 08:51
Conjugacy of Maps,conjugacy relation, the transformation should be a homeomorphism (1–1, onto, bi-continuous), so that some topological structures are preserved. Naturally, it is a useful and also a wise trick to find conjugacy between a map and a simple?map. Besides conjugacy, the concept of semi-conjugacy is also u作者: ENACT 時(shí)間: 2025-3-22 14:20 作者: 豪華 時(shí)間: 2025-3-22 17:45 作者: hereditary 時(shí)間: 2025-3-22 22:25
University Texts in the Mathematical Scienceshttp://image.papertrans.cn/a/image/155224.jpg作者: Heretical 時(shí)間: 2025-3-23 02:51 作者: 黃油沒(méi)有 時(shí)間: 2025-3-23 07:51
Das extrapyramidal-motorische System,tremely useful for analyzing nonlinear systems. The main emphasis is given for finding solutions of linear systems with constant coefficients so that the solution methods could be extended to higher-dimensional systems easily.?The eigenvalue-eigenvector method and the fundamental matrix method have 作者: myocardium 時(shí)間: 2025-3-23 13:46
Paralysis agitans und verwandte Syndrome,y difficult to obtain except for some special nonlinear equations. The essence of this chapter is to give on finding the local solution behaviors of nonlinear systems, known as local analysis.?This chapter focuses on the qualitative analysis of two-dimensional systems.作者: 地殼 時(shí)間: 2025-3-23 14:38
https://doi.org/10.1007/978-3-642-90807-1ous methods for analyzing stability of a system. In fact, stability of a system plays a crucial role in the dynamics. In the context of differential equations rigorous mathematical definitions are often too restrictive in analyzing the stability of solutions.?We begin with the stability analysis of 作者: ARCH 時(shí)間: 2025-3-23 18:42
https://doi.org/10.1007/978-3-642-90807-1 methods for linear equations are highly developed in mathematics, whereas a very little is known about nonlinear equations. Linearization of a nonlinear system does not provide always?the actual solution behaviors of the original nonlinear system. Nonlinear systems have interesting solution feature作者: Lasting 時(shí)間: 2025-3-24 00:40
https://doi.org/10.1007/978-3-663-07044-3matician . in his work. The study of bifurcation is concerned with how the structural?and qualitative?changes occur when the parameters are changing.?The co-dimensions one and two bifurcation theories with applications?are discussed at length.作者: Nefarious 時(shí)間: 2025-3-24 05:17 作者: 蝕刻 時(shí)間: 2025-3-24 09:53 作者: 世俗 時(shí)間: 2025-3-24 12:18
https://doi.org/10.1007/978-3-662-41370-8 behaviors, and formation of periodic cycles, stabilities of the periodic cycles, and bifurcation phenomena of some special maps. Maps and their compositions represent many natural phenomena or engineering processes. We shall introduce few particular bifurcations, viz., saddle-node (fold), period-do作者: Counteract 時(shí)間: 2025-3-24 16:15 作者: Handedness 時(shí)間: 2025-3-24 20:59
https://doi.org/10.1007/978-3-642-92664-8ce and theoretical studies predict some qualitative and quantitative measures for quantifying chaos. In this chapter we discuss some measures such as universal sequence (U-sequence), Lyapunov exponent, renormalization group theory, invariant measure, Poincaré section, for quantifying chaotic motions作者: Pituitary-Gland 時(shí)間: 2025-3-25 01:57
Das statisch bestimmte Stabwerk,nce. Its applicability in medical science paves the way to identify fatal diseases, for instance, the fractal properties of the blood vessels in the retina may be useful in diagnosing the diseases of the eye or in determining the severity of the disease. Herein we begin with a detailed study of frac作者: 補(bǔ)助 時(shí)間: 2025-3-25 07:22
Continuous Dynamical Systems,eir trajectories cannot be represented by usual geometry.?In this chapter we discuss some important definitions, concept of flows, their properties, examples, and analysis of one-dimensional flows for an easy way to understand the nonlinear dynamical systems.作者: Gossamer 時(shí)間: 2025-3-25 07:46 作者: Thrombolysis 時(shí)間: 2025-3-25 12:51 作者: 廣告 時(shí)間: 2025-3-25 19:47
Theory of Bifurcations,matician . in his work. The study of bifurcation is concerned with how the structural?and qualitative?changes occur when the parameters are changing.?The co-dimensions one and two bifurcation theories with applications?are discussed at length.作者: 肥料 時(shí)間: 2025-3-26 00:00 作者: 死亡 時(shí)間: 2025-3-26 00:49
https://doi.org/10.1007/978-3-663-07044-3In this chapter we give the overviews of Lagrangian?and Hamiltonian systems. The basics of Lagrangian and Hamiltonian mechanics, Hamiltonian flows in phase space, Noether theorems, sympletic transformations and Hamilton-Jacobi equation are discussed.作者: Meditative 時(shí)間: 2025-3-26 06:08
Hamiltonian Systems,In this chapter we give the overviews of Lagrangian?and Hamiltonian systems. The basics of Lagrangian and Hamiltonian mechanics, Hamiltonian flows in phase space, Noether theorems, sympletic transformations and Hamilton-Jacobi equation are discussed.作者: visceral-fat 時(shí)間: 2025-3-26 08:55
An Introduction to Dynamical Systems and Chaos978-981-99-7695-9Series ISSN 2731-9318 Series E-ISSN 2731-9326 作者: conjunctivitis 時(shí)間: 2025-3-26 14:54
Das extrapyramidal-motorische System,eir trajectories cannot be represented by usual geometry.?In this chapter we discuss some important definitions, concept of flows, their properties, examples, and analysis of one-dimensional flows for an easy way to understand the nonlinear dynamical systems.作者: 剝削 時(shí)間: 2025-3-26 17:56
Das extrapyramidal-motorische System,tremely useful for analyzing nonlinear systems. The main emphasis is given for finding solutions of linear systems with constant coefficients so that the solution methods could be extended to higher-dimensional systems easily.?The eigenvalue-eigenvector method and the fundamental matrix method have been described.作者: 周興旺 時(shí)間: 2025-3-27 00:43 作者: 享樂(lè)主義者 時(shí)間: 2025-3-27 03:56 作者: 聚集 時(shí)間: 2025-3-27 06:33
https://doi.org/10.1007/978-3-642-91640-3Discrete systems are described by maps or?difference equations. The composition of map generates the dynamics or flow of a discrete system.?The fixed points and their characters, some important theorems, periodic cycles, attractors,?Schwarzian derivative and its properties with examples are discussed at length.作者: 魅力 時(shí)間: 2025-3-27 09:57
https://doi.org/10.1007/978-981-99-7695-9bifurcation theory; chaos theory; conjugacy; flows; fractals; Hamiltonian flows; Lie symmetry analysis; osc作者: 通知 時(shí)間: 2025-3-27 17:40
978-981-99-7697-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor作者: LAIR 時(shí)間: 2025-3-27 21:37
Chaos,. On the other hand, there are some universal numbers applicable for particular class of systems, for example, the Feigenbaum number, Golden mean, etc. The Lorenz system is a paradigm of deterministic dissipative chaotic systems. The universality is an important feature in chaotic dynamics.作者: Provenance 時(shí)間: 2025-3-27 23:27 作者: Fibrinogen 時(shí)間: 2025-3-28 03:18 作者: 承認(rèn) 時(shí)間: 2025-3-28 07:06 作者: constellation 時(shí)間: 2025-3-28 11:35
https://doi.org/10.1007/978-3-642-90807-1ear system does not provide always?the actual solution behaviors of the original nonlinear system. Nonlinear systems have interesting solution features.?This chapter deals with oscillatory solutions in linear and nonlinear equations, their properties and some applications.?作者: artless 時(shí)間: 2025-3-28 14:46 作者: 的’ 時(shí)間: 2025-3-28 20:48
https://doi.org/10.1007/978-3-662-41370-8sitions represent many natural phenomena or engineering processes. We shall introduce few particular bifurcations, viz., saddle-node (fold), period-doubling (flip), period-bubbling, pitchfork, transcritical?bifurcations, and Neimark-Sacker codimension-2 bifurcation?in this chapter.作者: archetype 時(shí)間: 2025-3-28 23:01
Stability Theory,quations rigorous mathematical definitions are often too restrictive in analyzing the stability of solutions.?We begin with the stability analysis of linear systems. The normal form analysis for stable, unstable and center manifolds, and the center manifold reduction are discussed.作者: ineptitude 時(shí)間: 2025-3-29 03:05 作者: 現(xiàn)存 時(shí)間: 2025-3-29 10:36
Symmetry Analysis,ce of symmetry, particularly in analyzing nonlinear systems we devote this chapter on basic idea of group of transformations, Lie group of transformations,?Lie group of transformations, some theorems on Lie symmetry, its invariance,?Invariance principle and algorithm, and symmetry analysis of some physical?systems.作者: 遠(yuǎn)足 時(shí)間: 2025-3-29 12:13 作者: EXALT 時(shí)間: 2025-3-29 17:55 作者: 綠州 時(shí)間: 2025-3-29 23:46
Continuous Dynamical Systems,eir trajectories cannot be represented by usual geometry.?In this chapter we discuss some important definitions, concept of flows, their properties, examples, and analysis of one-dimensional flows for an easy way to understand the nonlinear dynamical systems.作者: PLIC 時(shí)間: 2025-3-29 23:54 作者: Measured 時(shí)間: 2025-3-30 07:55 作者: 按等級(jí) 時(shí)間: 2025-3-30 11:21
Stability Theory,ous methods for analyzing stability of a system. In fact, stability of a system plays a crucial role in the dynamics. In the context of differential equations rigorous mathematical definitions are often too restrictive in analyzing the stability of solutions.?We begin with the stability analysis of 作者: lactic 時(shí)間: 2025-3-30 13:22
Oscillations, methods for linear equations are highly developed in mathematics, whereas a very little is known about nonlinear equations. Linearization of a nonlinear system does not provide always?the actual solution behaviors of the original nonlinear system. Nonlinear systems have interesting solution feature作者: 沒(méi)有希望 時(shí)間: 2025-3-30 18:30 作者: Allowance 時(shí)間: 2025-3-30 22:23 作者: AGATE 時(shí)間: 2025-3-31 04:43