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spatio-temporal dynamics

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11: Charles W. Clark
Clark’s current research interests are the dynamics of ultracold atoms and its application to quantum information, applications of synchrotron radiation, and the exploitation of atomic and molecular physics processes for new methods of neutron detection. …
12: Barry I. Schneider
Schneider has served as Chair and Co-Chair of the APS Division of Computational Physics and the Topical Group on Few-Body Systems and Multipartical Dynamics and has been the organizer of a number of conferences and invited sessions here and abroad. …
13: 9.16 Physical Applications
In fluid dynamics, Airy functions enter several topics. … The KdV equation and solitons have applications in many branches of physics, including plasma physics lattice dynamics, and quantum mechanics. …
14: 13.28 Physical Applications
For dynamics of many-body systems see Meden and Schönhammer (1992); for tomography see D’Ariano et al. (1994); for generalized coherent states see Barut and Girardello (1971); for relativistic cosmology see Crisóstomo et al. (2004).
15: 21.9 Integrable Equations
§21.9 Integrable Equations
16: 22.19 Physical Applications
§22.19(i) Classical Dynamics: The Pendulum
§22.19(ii) Classical Dynamics: The Quartic Oscillator
Its dynamics for purely imaginary time is connected to the theory of instantons (Itzykson and Zuber (1980, p. 572), Schäfer and Shuryak (1998)), to WKB theory, and to large-order perturbation theory (Bender and Wu (1973), Simon (1982)). …
§22.19(v) Other Applications
Numerous other physical or engineering applications involving Jacobian elliptic functions, and their inverses, to problems of classical dynamics, electrostatics, and hydrodynamics appear in Bowman (1953, Chapters VII and VIII) and Lawden (1989, Chapter 5). …
17: 28.33 Physical Applications
  • McLachlan (1947, Chapter XV) for amplitude distortion in moving-coil loud-speakers, frequency modulation, dynamical systems, and vibration of stretched strings.

  • 18: Bibliography N
  • M. Noumi and Y. Yamada (1998) Affine Weyl groups, discrete dynamical systems and Painlevé equations. Comm. Math. Phys. 199 (2), pp. 281–295.
  • 19: Bibliography D
  • B. Deconinck and H. Segur (2000) Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Math. Phys. Anal. Geom. 3 (1), pp. 49–74.
  • R. L. Devaney (1986) An Introduction to Chaotic Dynamical Systems. The Benjamin/Cummings Publishing Co. Inc., Menlo Park, CA.
  • 20: Bibliography P
  • A. R. Paterson (1983) A First Course in Fluid Dynamics. Cambridge University Press, Cambridge.