Orbit (dynamics)
In mathematics, in the study of dynamical systems, an orbit is a collection of points related by the evolution function of the dynamical system. It can be understood as the subset of phase space covered by the trajectory of the dynamical system under a particular set of initial conditions, as the system evolves. As phase space trajectory is uniquely determined for any given set of phase space coordinates, it is not possible for different orbits to intersect in phase space, therefore the set of all orbits of a dynamical system is a partition of the phase space. Understanding the properties of orbits by using topological methods is one of the objectives of the modern theory of dynamical systems.
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Orbit (dynamics)
In mathematics, in the study of dynamical systems, an orbit is a collection of points related by the evolution function of the dynamical system. It can be understood as the subset of phase space covered by the trajectory of the dynamical system under a particular set of initial conditions, as the system evolves. As phase space trajectory is uniquely determined for any given set of phase space coordinates, it is not possible for different orbits to intersect in phase space, therefore the set of all orbits of a dynamical system is a partition of the phase space. Understanding the properties of orbits by using topological methods is one of the objectives of the modern theory of dynamical systems.
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In matematica, in particolare ...... lvolta scritta come l'insieme:
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In mathematics, in the study o ...... e orbits are Riemann surfaces.
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力学系における軌道(きどう)とは、ある初期条件を通り、系の時 ...... 性質を調べることが、力学系という分野の主な関心の一つである。
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In matematica, in particolare ...... ferenziale ordinaria autonoma:
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In mathematics, in the study o ...... n theory of dynamical systems.
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力学系における軌道(きどう)とは、ある初期条件を通り、系の時 ...... 性質を調べることが、力学系という分野の主な関心の一つである。
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Orbit (dynamics)
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Orbita (matematica)
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軌道 (力学系)
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