| ISBN |
9783642556883 |
| 기타 표준번호 |
10.1007/978-3-642-55688-3 |
| 청구기호 |
QA313 |
| 형태사항 |
XX, 620 p. online resource.
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| 언어 |
English |
| 내용 |
1. What is Nonlinearity? -- 2. Linear and Nonlinear Oscillators -- 3. Qualitative Features -- 4. Bifurcations and Onset of Chaos in Dissipative Systems -- 5. Chaos in Dissipative Nonlinear Oscillators and Criteria for Chaos -- 6. Chaos in Nonlinear Electronic Circuits -- 7. Chaos in Conservative Systems -- 8. Characterization of Regular and Chaotic Motions -- 9. Further Developments in Chaotic Dynamics -- 10. Finite Dimensional Integrable Nonlinear Dynamical Systems -- 11. Linear and Nonlinear Dispersive Waves -- 12. Korteweg?�de Vries Equation and Solitons -- 13. Basic Soliton Theory of KdV Equation -- 14. Other Ubiquitous Soliton Equations -- 15. Spatio-Temporal Patterns -- 16. Nonlinear Dynamics: From Theory to Technology -- A. Elliptic Functions and Solutions of Certain Nonlinear Equations -- Problems -- B. Perturbation and Related Approximation Methods -- B.1 Approximation Methods for Nonlinear Differential Equations -- B.2 Canonical Perturbation Theory for Conservative Systems -- B.2.1 One Degree ol Freedom Hamiltonian Systems -- B.2.2 Two Degrees ol Freedom Systems -- Problems -- C. A Fourth-Order Runge-Kutta Integration Method -- Problems -- Problems -- E. Fractals and Multifractals -- Problems -- Problems -- G. Inverse Scattering Transform for the Schrödinger Spectral Problem -- G.l The Linear Eigenvalue Problem -- G.2 The Direct Scattering Problem -- G.3 The Inverse Scattering Problem -- G.4 Reconstruction of the Potential -- Problems -- H. Inverse Scattering Transform for the Zakharov-Shabat Eigenvalue Problem -- H.1 The Linear Eigenvalue Problem -- H.2 The Direct Scattering Problem -- H.3 Inverse Scattering Problem -- H.4 Reconstruction of the Potentials -- Problems -- I. Integrable Discrete Soliton Systems -- I.1 Integrable Finite Dimensional N-Particles System on a Line: Calogero-Moser System -- I.2 The Toda Lattice -- I.3 Other Discrete Lattice Systems -- I.4 Solitary Wave (Soliton) Solution of the Toda Lattice -- Problems -- J. Painlev챕 Analysis for Partial Differential Equations -- J.1 The Painlev챕 Property for PDEs -- J.1.1 Painlev챕 Analysis -- J.2 Examples -- J.2.1 KdV Equation -- J.2.2 The Nonlinear Schrödinger Equation -- Problems -- References.
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| 주제 |
Mathematics.
Dynamics.
Ergodic theory.
Physics.
Mechanics.
Statistical physics.
Dynamical systems.
Applied mathematics.
Engineering mathematics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Mechanics.
Statistical Physics, Dynamical Systems and Complexity.
Theoretical, Mathematical and Computational Physics.
Appl.Mathematics/Computational Methods of Engineering.
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| 보유판 및 특별호 저록 |
Springer eBooks
Printed edition: 9783642628726
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| QR CODE |
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