Physical Review Letters · 1995 · 34 citations · 8 references
Natural SciencesMathematicsDynamical SystemsGroup DynamicsBifurcation TheoryChaos TheoryGroup TheoryGroup Theory In PhysicsHamiltonian SystemsPeriodic OrbitsBifurcationBifurcation Of Periodic OrbitsHamiltonian Bifurcation TheoryNormal Form TheoryNormal Forms For Periodic OrbitsPeriodic Orbit BifurcationPeriodic Orbit TheoryPeriodic Orbits In Hamiltonian Systems
Numerical calculations have shown that bifurcations of periodic orbits of Hamiltonian systems often occur in organized groups. Normal-form theory provides an explanation.
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