Exponentially small splitting of invariant manifolds near a Hamiltonian-Hopf bifurcation
Consider an analytic two-degrees of freedom Hamiltonian system with an equilibrium point that undergoes a Hamiltonian-Hopf bifurcation, i.e., the eigenvalues of the linearized system at the equilibrium change from complex ±β ±iα (α,β > 0) for ε > 0 to pure imaginary ±iω1 and ±iω2 (ω1 ≠ ω2 ≠ 0)...
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University of Warwick
2010
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531479 |