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1.

図書
図書
1. The Arnoldfest : proceedings of a conference in honour of V.I. Arnold for his sixtieth birthday
Edward Bierstone ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xvii, 555 p. ; 27 cm.
シリーズ名: Fields Institute communications ; 24
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From Hilbert's superposition problem to dynamical systems / V. I. Arnold
Recollections / J. Moser
Symplectization, complexification and mathematical trinities
Topological problems in wave propagation theory and topological economy principle in algebraic geometry
Geometry and control of three-wave interactions / M. S. Alber ; G. G. Luther ; J. E. Marsden ; J. M. Robbins
Standard basis along a Samuel stratum, and implicit differentiation / E. Bierstone ; P. D. Milman
A global weighted version of Bezout's theorem / J. Damon
Real Enriques surfaces without real points and Enriques-Einstein-Hitchin 4-manifolds / A. Degtyarev ; V. Kharlamov
On the index of a vector field at an isolated singularity / W. Ebeling ; S. M. Gusein-Zade
The exponential map on $\mathcal{D}^s_\mu$ / D. G. Ebin ; G. Misiolek
Zeldovich's neutron star and the prediction of magnetic froth / M. H. Freedman
Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds / K. Fukaya ; K. Ono
Multiplicity of a zero of an analytic function on a trajectory of a vector field / A. Gabrielov
Singularity theory and symplectic topology / A. B. Givental
On enumeration of meromorphic functions on the line / V. V. Goryunov ; S. K. Lando
Pseudoholomorphic curves and dynamics / H. Hofer ; E. Zehnder
Bifurcation of planar and spatial polycycles: Arnold's program and its development / Yu. S. Ilyashenko ; V. Yu. Kaloshin
Singularity which has no $M$-smoothing / V. M. Kharlamov ; S. Yu. Orevkov ; E. I. Shustin
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces / B. Khesin ; A. Rosly
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations / A. Khovanskii
Interactions of Andronov-Hopf and Bogdanov-Takens bifurcations / W. F. Langford ; K. Zhan
Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau,\eta}sl_2$ / E. Mukhin ; A. Varchenko
Schrodinger operators on graphs and symplectic geometry / S. P. Novikov
On the dominant Fourier modes in the series associated with separatrix splitting for an a-priori stable, three degree-of-freedom Hamiltonian system / M. Rudnev ; S. Wiggins
Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc. / V. A. Vassiliev
On Arnold's variational principles in fluid mechanics / V. A. Vladimirov ; K. I. Ilin
On functions and curves defined by ordinary differential equations / S. Yakovenko
Global finiteness properties of analytic families and algebra of their Taylor coefficients / Y. Yomdin
From Hilbert's superposition problem to dynamical systems / V. I. Arnold
Recollections / J. Moser
Symplectization, complexification and mathematical trinities
2.

図書
図書
2. Proceedings of the CRM Workshop on Hamiltonian Systems, Transformation Groups and Spectral Transform Methods
edited by J. Harnad and J.E. Marsden
出版情報: Montréal : CRM, 1990  viii, 252 p. ; 25 cm
シリーズ名: Les publications CRM
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3.

図書
図書
3. Lectures on mechanics
Jerrold E. Marsden
出版情報: Cambridge : Cambridge University Press, 1992  xi, 254 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 174
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目次情報: 続きを見る
Preface
Introduction / 1：
The Classical Water Molecule and the Ozone Molecule / 1.1：
Hamiltonian Formulation / 1.2：
Geometry, Symmetry, and Reduction / 1.3：
Stability / 1.4：
Geometric Phases / 1.5：
The Rotation Group and the Poincare Sphere / 1.6：
A Crash Course in Geometric Mechanics / 2：
Symplectic and Poisson Manifolds / 2.1：
The Flow of a Hamiltonian Vector Field / 2.2：
Cotangent Bundles / 2.3：
Lagrangian Mechanics / 2.4：
Lie-Poisson Structures / 2.5：
The Rigid Body / 2.6：
Momentum Maps / 2.7：
Reduction / 2.8：
Singularities and Symmetry / 2.9：
A Particle in a Magnetic Field / 2.10：
Cotangent Bundle Reduction / 3：
Mechanical G-systems / 3.1：
The Classical Water Molecule / 3.2：
The Mechanical Connection / 3.3：
The Geometry and Dynamics of Cotangent Bundle Reduction / 3.4：
Examples / 3.5：
Lagrangian Reduction / 3.6：
Coupling to a Lie group / 3.7：
Relative Equilibria / 4：
Relative Equilibria on Symplectic Manifolds / 4.1：
Cotangent Relative Equilibria / 4.2：
The Energy-Momentum Method / 4.3：
The General Technique / 5.1：
Example: The Rigid Body / 5.2：
Block Diagonalization / 5.3：
The Normal Form for the Symplectic Structure / 5.4：
Stability of Relative Equilibria for the Double Spherical Pendulum / 5.5：
A Simple Example / 6：
Reconstruction / 6.2：
Cotangent Bundle Phases--a Special Case / 6.3：
Cotangent Bundles--General Case / 6.4：
Rigid Body Phases / 6.5：
Moving Systems / 6.6：
The Bead on the Rotating Hoop / 6.7：
Stabilization and Control / 7：
The Rigid Body with Internal Rotors / 7.1：
The Hamiltonian Structure with Feedback Controls / 7.2：
Feedback Stabilization of a Rigid Body with a Single Rotor / 7.3：
Phase Shifts / 7.4：
The Kaluza-Klein Description of Charged Particles / 7.5：
Optimal Control and Yang-Mills Particles / 7.6：
Discrete reduction / 8：
Fixed Point Sets and Discrete Reduction / 8.1：
Sub-Block Diagonalization with Discrete Symmetry / 8.2：
Discrete Reduction of Dual Pairs / 8.5：
Mechanical Integrators / 9：
Definitions and Examples / 9.1：
Limitations on Mechanical Integrators / 9.2：
Symplectic Integrators and Generating Functions / 9.3：
Symmetric Symplectic Algorithms Conserve J / 9.4：
Energy-Momentum Algorithms / 9.5：
The Lie-Poisson Hamilton-Jacobi Equation / 9.6：
Example: The Free Rigid Body / 9.7：
Variational Considerations / 9.8：
Hamiltonian Bifurcation / 10：
Some Introductory Examples / 10.1：
The Role of Symmetry / 10.2：
The One to One Resonance and Dual Pairs / 10.3：
Bifurcations in the Double Spherical Pendulum / 10.4：
Continuous Symmetry Groups and Solution Space Singularities / 10.5：
The Poincare-Melnikov Method / 10.6：
The Role of Dissipation / 10.7：
References
Index
Preface
Introduction / 1：
The Classical Water Molecule and the Ozone Molecule / 1.1：
4.

図書
図書
4. A mathematical introduction to fluid mechanics. 2nd ed (: us ; : gw)
A.J. Chorin, J.E. Marsden
出版情報: New York : Springer-Verlag, c1990  vi, 168 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 4
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Preface
The Equations of Motion / 1：
Euler's Equations / 1.1：
Rotation and Vorticity / 1.2：
The Navier-Stokes Equations / 1.3：
Potential Flow and Slightly Viscous Flow / 2：
Potential Flow / 2.1：
Boundary Layers / 2.2：
Vortex Sheets / 2.3：
Remarks on Stability and Bifurcation / 2.4：
Gas Flow in One Dimension / 3：
Characteristics / 3.1：
Shocks / 3.2：
The Riemann Problem / 3.3：
Combustion Waves / 3.4：
Preface
The Equations of Motion / 1：
Euler's Equations / 1.1：
5.

図書
図書
5. Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems (: us - : gw : soft)
Jerrold E. Marsden, Tudor S. Ratiu
出版情報: New York : Springer-Verlag, c1994  xiv, 500 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 17
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6.

図書
図書
6. From topology to computation : proceedings of the Smalefest (: us ; : gw)
M.W. Hirsch, J.E. Marsden, M. Shub, editors
出版情報: New York : Springer-Verlag, c1993  xxviii, 605 p. ; 25 cm
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