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A normally elliptic Hamiltonian bifurcation (1993)

Broer, H. W. ; Chow, S. N. ; Kim, Y. ; [et al.]

Springer

Zeitschrift für angewandte Mathematik und Physik 44 (1993), S. 389-432

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ISSN: 1420-9039

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a certain equilibrium point. This central equilibrium has a double zero eigenvalue, the other eigenvalues being in general position. Main emphasis is given to the 2 degrees of freedom case where these other eigenvalues are purely imaginary. By normal form techniques and Singularity Theory unfoldings are obtained, having ‘integrable’ approximations related to the Elliptic and Hyperbolic Umbilic Catastrophes

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00953660

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