orbit |
english |
Difino
| • | In the study of dynamical systems, an orbit is a collection of points related by time evolution. The points of the orbit will be a subset of the phase or state space of the dynamical system. If the dynamical system is a map, the orbit is a sequence and if the dynamical system is a flow, the orbit is a curve. Understanding the properties of orbits is one of the objectives of the modern geometrical theory of dynamical systems. If x is a point on the orbit, then the evolution function of the dynamical system, f t relates that initial point to the other points of the orbit: if y is on the orbit, then there is a value of t such that either y = f t(x) or x = f t(y). Both solutions occur when the dynamical system is reversible. For maps (or discrete-time dynamical systems) t is an integer and for flows (continuous-time dynamical systems) t is a real number. It is often the case that the evolution function can be understood to compose the elements of a group, in which case the group-theoretic orbits of the group action are the same thing as the dynamical orbits. An orbit is called closed if a point of the orbit evolves to itself. This means that the orbit will repeat itself. Such orbits are also called periodic. The simplest closed orbit is a fixed point, where the orbit is a single point. Source: [wikipedia: orbit (dynamics)] |
object_request_brokers:corba
| ORBit Resource Page | ||
| contains links to ports, documentation, services, language mappings, and tools. | ||
| ORBit-C++ | ||
| c++ bindings that provide a corba specification-compliant c++ mapping for orbit. [open source, gpl/lgpl] | ||
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