“dynamical system”的概念、定义、翻译、参考文献-科学参考

dynamical system

Physics

A system governed by dynamics (either classical mechanics or quantum mechanics). The evolution of dynamical systems can be very complex, even for systems with only a few degrees of freedom, sometimes involving such considerations as ergodicity, which originated in statistical mechanics. The evolution of dynamical systems can be studied using the phase space for the system. Chaos is an example of the complex behaviour that can occur in a dynamical system. The global behaviour of the evolution of dynamical systems in phase space can be analysed using topology, a notable result of this approach being the KAM theorem.

Mathematics

A means of describing fully the state, or evolution of the state, of a system with time. Time may pass discretely, in which case the system evolves according to a recurrence relation, or may pass continuously, in which case the system evolves according to a differential equation. If the system has n degrees of freedom, the phase space of possible states is an n-dimensional manifold. For example, with a double pendulum this space would be a torus, as the space is entirely determined by the two angles the pendula make with the downward vertical.

Chemistry

A system governed by dynamics (either classical mechanics or quantum mechanics). The evolution of dynamical systems can be very complex, even for systems with only a few degrees of freedom, sometimes involving such considerations as ergodicity, which originated in statistical mechanics. The evolution of dynamical systems can be studied using the phase space for the system. Chaos is an example of the complex behaviour that can occur in a dynamical system.

单词	dynamical system
释义	dynamical system Physics A system governed by dynamics (either classical mechanics or quantum mechanics). The evolution of dynamical systems can be very complex, even for systems with only a few degrees of freedom, sometimes involving such considerations as ergodicity, which originated in statistical mechanics. The evolution of dynamical systems can be studied using the phase space for the system. Chaos is an example of the complex behaviour that can occur in a dynamical system. The global behaviour of the evolution of dynamical systems in phase space can be analysed using topology, a notable result of this approach being the KAM theorem. Mathematics A means of describing fully the state, or evolution of the state, of a system with time. Time may pass discretely, in which case the system evolves according to a recurrence relation, or may pass continuously, in which case the system evolves according to a differential equation. If the system has n degrees of freedom, the phase space of possible states is an n-dimensional manifold. For example, with a double pendulum this space would be a torus, as the space is entirely determined by the two angles the pendula make with the downward vertical. Chemistry A system governed by dynamics (either classical mechanics or quantum mechanics). The evolution of dynamical systems can be very complex, even for systems with only a few degrees of freedom, sometimes involving such considerations as ergodicity, which originated in statistical mechanics. The evolution of dynamical systems can be studied using the phase space for the system. Chaos is an example of the complex behaviour that can occur in a dynamical system.
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