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Rotating waves are periodic solutions in SO(2) equivariant dynamical systems. Their precession frequency changes with parameters and it may change sign, passing through zero. When this happens, the dy...
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, but symmetr...
Symmetry and collective motion      Symmetry  collective motion        2010/11/30
The continuous symmetries of physical systems are reflected not only by conservation laws, but also by constraints on the probability, or particle dis-tribution functions, and phase-space reduction.

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