A brief introduction to integrable systems
C Brezinski - International Journal of Computing Science …, 2007 - inderscienceonline.com
International Journal of Computing Science and Mathematics, 2007•inderscienceonline.com
… This is, for example, the case of the simplified differential equation (1) of the pendulum
which is a continuous integrable system and of the corresponding discretised equation (3)
which is a discrete integrable system. In spite of their non-linearity, integrable systems possess
quite a remarkable regularity, exhibiting a smooth behaviour in all regions of the phase
space. On the contrary, a non-… One can find integrable systems with an infinite number of
degrees of freedom which are described by partial differential equations. These continuous …
which is a continuous integrable system and of the corresponding discretised equation (3)
which is a discrete integrable system. In spite of their non-linearity, integrable systems possess
quite a remarkable regularity, exhibiting a smooth behaviour in all regions of the phase
space. On the contrary, a non-… One can find integrable systems with an infinite number of
degrees of freedom which are described by partial differential equations. These continuous …
Integrable systems arise in many branches of science. The aim of this paper is to briefly survey this topic, and to give access to the corresponding literature.
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