Chaotic dynamics of homogeneous Yang-Mills fields with two degrees of freedom |
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Authors: | N A Magnitskii |
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Institution: | (2) Academy of Athens, Research Center for Astronomy, Athens, Greece; |
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Abstract: | In the present paper, we consider a scenario of transition to chaotic dynamics in the Hamiltonian system of homogeneous Yang-Mills
fields with two degrees of freedom in the case of the Higgs mechanism. We show that in such a system, as well as in other
Hamiltonian and conservative systems of equations, the nonlocal effect of multiplication of hyperbolic and elliptic cycles
and tori around elliptic cycles in neighborhoods of the separatrix surfaces of hyperbolic cycles plays a key role on the initial
stage of transition from a regular motion to a chaotic one. We observe that the new elliptic and hyperbolic cycles of the
Hamiltonian system are generated as stable and saddle cycles of the extended dissipative system of equations not only as a
result of saddle-node bifurcations but also as a result of fork-type bifurcations. |
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Keywords: | |
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