Macroscopy of resonance
Conference paper
First Online:
Keywords
Vortex Ring Closed Orbit Forced Oscillation Catastrophe Theory Saddle Connection
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
Bibliography
- Abraham, R. H., Introduction to Morphology, Dept. de Mathematiques, Univ. de Lyon (1972).Google Scholar
- Abraham, R. H., Psychotronic vibrations, First Int. Congress Psychotronics, Prague (1973).Google Scholar
- Abraham, R. H., Macrodynamics and morphogenesis, in JANTSCH and WADDINGTON.Google Scholar
- -, Introduction to the Macroscope (videotape), Univ. of California, Santa Cruz (1975).Google Scholar
- Bauer, H. F., Chang, S. S., and Wang, J. T. S., Nonlinear liquid motion in a longitudally excited container with elastic bottom, J. Amer. Inst. Aeronautics and Astronautics, 9 (1971) 2333–2339.CrossRefMATHGoogle Scholar
- Brook Benjamin, T. and Ursell, F., The stability of a plane free surface of a liquid in vertical periodic motion, Proc. Roy. Soc. (London) Ser. A. 225 (1954) 505–517.MathSciNetCrossRefMATHGoogle Scholar
- Brunovsky, P., On one-parameter families of diffeomorphisms, Comment. Math. Univ. Carolinae 11 (1970) 559–582.MathSciNetMATHGoogle Scholar
- Brunovsky, P., On one-parameter families of diffeomorphisms II, Comment. Math. Univ. Carolinae (to be published).Google Scholar
- Faraday, M., On the forms and states assumed by fluids in contact with vibrating elastic surfaces, Phil. Trans. 121 (1831) 319–346.CrossRefGoogle Scholar
- Hopf, E., Abzweigung einer periodischen Lösung von einer stationairen Lösung eines Differential systems, Ber. Math.-Phys. Kl. Sächs. Acad. Wiss. Leipzig 94 (1942) 1–22.Google Scholar
- Jantsch, E. and Waddington, C., eds., Evolution in the Human World (to appear).Google Scholar
- Jenny, H., Kymatik, Basilius, Basel (1967).Google Scholar
- Lyttleton, R. A., Stability of Rotating Liquid Masses, Cambridge (1953).Google Scholar
- Magarvey, R. H. and MacLatchy, C. S., The formation and structure of vortex rings, the disintegration of vortex rings, Canadian J. Phys. 42 (1964) 678–689.CrossRefMATHGoogle Scholar
- Newhouse, S., and Palis, J., Bifurcations of Morse-Simale Dynamical systems, in PEIXOTO, 303–366.Google Scholar
- Newhouse, S., Cycles and bifurcations (to appear).Google Scholar
- Peixoto, M. M., ed., Dynamical Systems, Academic, New York (1973).MATHGoogle Scholar
- Rayleigh, Lord, On the crispations of fluid resting upon a vibrating support, Phil. Mag. 16 (1883) 50–58.CrossRefGoogle Scholar
- Ruelle, D., and Takens, F., On the nature of turbulence, Comm. Math. Phys. 20 (1971) 167–192 and 23 (1971) 343–344.MathSciNetCrossRefMATHGoogle Scholar
- Settles, G., The amateur scientist, Sci. Amer. (May, 1971).Google Scholar
- Sotomayor, J., Generic one parameter families of vector fields in two-dimensional manifolds, Publ. Math. I.H.E.S. 43.Google Scholar
- Sotomayor, J., Structural stability and bifurcation theory, in PEIXOTO 549–560.Google Scholar
- Sotomayor, J., Generic bifurcations of dynamical systems, in PEIXOTO 561–582.Google Scholar
- Sotomayor, J., Saddle connections of dynamical systems (to appear).Google Scholar
- Takens, F., Unfoldings of certain singularities of vectorfields: generalized Hopf bifurcations, J. Diff. Eq. 14 (1973) 476–493.MathSciNetCrossRefMATHGoogle Scholar
- Takens, F., Forced oscillations, Publ. Math. Inst. Utrecht (1974).Google Scholar
- Thom, R., Language et catastrophes: eléments pour une sémantique topologique, in PEIXOTO, 619–654.Google Scholar
- Turner, J. S., Bouyancy Phenomena in Fluids.Google Scholar
- Von Békésy, G., Experiments in Hearing, McGraw-Hill, New York (1960).Google Scholar
- Zeeman, C., Duffing’s equation in brain modeling (this volume).Google Scholar
Copyright information
© Springer-Verlag 1976