The Hamiltonian Hopf bifurcation: an elementary perturbative approach

Author:

Lahiri Avijit,Sinha Roy Mahendra

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference28 articles.

1. T.J. Bridges, Stability of periodic solutions near a collision of eigenvalues of opposite signature, Math. Proc. Cambridge Philos. Soc. 109 (1991) 375–403.

2. M.G. Krein, Foundations of the theory of λ-zones of stability of a canonical system of linear differential equations with periodic coefficients, Amer. Math. Soc. Trans., Ser. 2 120 (1955) 1–70; On criteria for stability and boundedness of solutions of periodic canonical systems, Prikl. Mat. Mech. 19 (6) (1955) 641–680.

3. Introduction to Hamiltonian Dynamical Systems and the N-body Problem;Meyer,1992

4. Bifurcation of periodic solutions near a collision of eigenvalues of opposite signature;Bridges;Math. Proc. Cambridge Philos. Soc.,1990

5. The Hamiltonian Hopf Bifurcation, Lecture Notes in Mathematics, Vol. 1160;van der Meer,1985

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