منابع مشابه
Doubling Operation for Polytopes and Torus Actions
In this note we give the definition of the ”doubling operation” for simple polytopes, find the formula for the h-polynomial of new polytope. As an application of this operation we establish the relationship between moment-angle manifolds and their real analogues and prove the toral rank conjecture for moment-angle manifolds ZP . Let P be a simple n-dimensional polytope with m facets: P = {x ∈ R...
متن کاملTorus Doubling Cascade in Problems with Symmetries
In this paper a multiple Hopf bifurcation is considered on the branch of trivial solutions in problems with O(2) symmetry. The theory for this type of bifurcation is well understood and leads us to solutions in the form of standing and travelling waves (van Gils and Mallet-Paret [1], Golubitsky et al [2]). Golubitsky et al [2] distinguish the standing and the travelling (rotating) oscillations ...
متن کاملTorus doubling resonances and breather stability.
Discrete breathers that arise in doped alkali halides lead us to study two properties of these localized excitations. First, we note a bifurcation phenomenon, which we dub torus doubling, in which resonant coupling in the nonlinear modes induces a period doubling of the phase space structure. Second, we find that although two-frequency breather excitations are not in principle localized (becaus...
متن کاملRenormalization group for scaling at the torus-doubling terminal point
The quasiperiodically forced logistic map is analyzed at the terminal point of the torus-doubling bifurcation curve, where the dynamical regimes of torus, doubled torus, strange nonchaotic attractor, and chaos meet. Using the renormalization group approach we reveal scaling properties both for the critical attractor and for the parameter plane topography near the critical point. @S1063-651X~98!...
متن کاملTorus-Doubling Bifurcations in Four Mutually Coupled Chua’s Circuits
Coupled oscillators are complicated high-dimensional dynamical systems. They can exhibit a wide variety of rich dynamics which could lead to novel applications in engineering. In this brief we describe a torus-doubling phenomenon observed from four mutually coupled Chua’s circuits. The qualitative dynamical behavior of the coupled system is robust, yet the exact behavior is very sensitive to th...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1983
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.69.1806