Interdependence of different symmetry energy elements

Network reorganization driven by temporal interdependence of its elements.

We employ an adaptive parameter control technique based on detection of phase/lag synchrony between the elements of the system to dynamically modify the structure of a network of nonidentical, coupled Rossler oscillators. Two processes are simulated: adaptation, under which the initially different properties of the units converge, and rewiring, in which clusters of interconnected elements are f...

Equations for the Keplerian elements : Hidden symmetry

We revisit the Lagrange and Delaunay systems of equations for the six osculating orbital elements, and point out a previously neglected aspect of these equations. A careful re-examination of the derivation of these systems shows that in both cases the orbit resides on a certain 9-dimensional submanifold of the 12-dimensional space spanned by the osculating elements and their time derivatives. W...

Equations for the orbital elements: Hidden symmetry.

We revisit the Lagrange and Delaunay systems of equations for the orbital elements, and point out a previously neglected aspect of these equations: in both cases the orbit resides on a certain 9-dimensional submanifold of the 12-dimensional space spanned by the orbital elements and their time derivatives. We demonstrate that there exists a vast freedom in choosing this submanifold. This freedom...

Symmetry of Fullerene C_60

Symmetry breaking in ecological systems through different energy efficiencies of juveniles and adults.

Ontogenetic development is a fundamental aspect of the life history of all organisms and has major effects on population and community dynamics. We postulate a general conceptual framework for understanding these effects and claim that two potential energetics bottlenecks at the level of the individual organism--the rate by which it develops and the rate by which it reproduces--form a fundament...