"Escape” from a potential well (part I)
Authors:
R. Subramanian and R. E. Kronauer
Journal:
Quart. Appl. Math. 29 (1972), 459-491
DOI:
https://doi.org/10.1090/qam/99751
MathSciNet review:
QAM99751
Full-text PDF Free Access
References |
Additional Information
B. Budiansky, Dynamic buckling of elastic structures: criteria and estimates; in Dynamic stability of structures, Proc. Internat. Conference Northwestern University, Evanston, Illinois, 1965
- George Contopoulos, A third integral of motion in a galaxy, Z. Astrophys. 49 (1960), 273–291. MR 114635
- Michel Hénon and Carl Heiles, The applicability of the third integral of motion: Some numerical experiments, Astronom. J. 69 (1964), 73–79. MR 158746, DOI https://doi.org/10.1086/109234
G. Contopoulos and J. D. Hadjidemetriou, Characteristics of invariant curves of plane orbits, Astronom. J. 73, 86–96 (1968)
- George Contopoulos, Orbits in highly perturbed dynamical systems. I. Periodic orbits, Astronom. J. 75 (1970), 96–107. MR 262606, DOI https://doi.org/10.1086/110948
H. Poincaré, Les méthodes nouvelles de la méchanique céleste, Tomes 1, 2, 3, Paris, 1892, 1893, 1899; reprint, Dover, New York, 1957; English transl., NASA TTF-450, 451, 452, National Aeronautics and Space Administration, Washington, D. C., 1967
- Chihiro Hayashi, Nonlinear oscillations in physical systems, McGraw-Hill Electrical and Electronic Engineering Series, McGraw-Hill Book Co., New York-Toronto-London, 1964. MR 0170071
- N. N. Bogoljubov and Yu. A. Mitropol′skiĭ, Asimptoticheskie metody v teorii nelineĭ nykh kolebaniĭ, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1963 (Russian). Third edition, corrected and supplemented. MR 0158130
R. E. Kronauer and S. A. Musa, Exchange of energy between oscillations in weakly nonlinear conservative systems, J. Appl. Mech. 33, 451–452 (1966)
R. Subramanian, Escape from a potential well, Ph.D. Dissertation, Harvard University, Cambridge, Mass., 1970
A. O. Gilchrist, The free oscillations of conservative quasi-linear systems with two degrees of freedom, Internat. J. Mech. Sci. 3, 286–311 (1961)
B. Budiansky, Dynamic buckling of elastic structures: criteria and estimates; in Dynamic stability of structures, Proc. Internat. Conference Northwestern University, Evanston, Illinois, 1965
G. Contopoulos, A third integral of motion in a galaxy, Z. Astrophys. 49, 273–291 (1960)
M. Hénon and C. Heiles, The applicability of the third integral of motion: some numerical experiments, Astronom. J. 69, 73–79 (1964)
G. Contopoulos and J. D. Hadjidemetriou, Characteristics of invariant curves of plane orbits, Astronom. J. 73, 86–96 (1968)
G. Contopoulos, Orbits in highly perturbed dynamical systems. I. Periodic orbits, Astronom. J. 75, 96–107 (1970)
H. Poincaré, Les méthodes nouvelles de la méchanique céleste, Tomes 1, 2, 3, Paris, 1892, 1893, 1899; reprint, Dover, New York, 1957; English transl., NASA TTF-450, 451, 452, National Aeronautics and Space Administration, Washington, D. C., 1967
C. Hayashi, Nonlinear oscillations in physical systems, McGraw-Hill, New York, 1964
N. N. Bogoljubov and Ju. A. Mitropol’skiǐ, Asymptotic methods in the theory of non-linear oscillations, Fizmatgiz, 1958; English transl., Hindustan, Delhi; Gordon and Breach, New York, 1962
R. E. Kronauer and S. A. Musa, Exchange of energy between oscillations in weakly nonlinear conservative systems, J. Appl. Mech. 33, 451–452 (1966)
R. Subramanian, Escape from a potential well, Ph.D. Dissertation, Harvard University, Cambridge, Mass., 1970
A. O. Gilchrist, The free oscillations of conservative quasi-linear systems with two degrees of freedom, Internat. J. Mech. Sci. 3, 286–311 (1961)
Additional Information
Article copyright:
© Copyright 1972
American Mathematical Society
