## Analog Computation with Dynamical Systems (1997)

Venue: | Physica D |

Citations: | 21 - 0 self |

### BibTeX

@ARTICLE{Siegelmann97analogcomputation,

author = {Hava T. Siegelmann and Shmuel Fishman},

title = {Analog Computation with Dynamical Systems},

journal = {Physica D},

year = {1997},

volume = {120},

pages = {120--214}

}

### OpenURL

### Abstract

This paper presents a theory that enables to interpret natural processes as special purpose analog computers. Since physical systems are naturally described in continuous time, a definition of computational complexity for continuous time systems is required. In analogy with the classical discrete theory we develop fundamentals of computational complexity for dynamical systems, discrete or continuous in time, on the basis of an intrinsic time scale of the system. Dissipative dynamical systems are classified into the computational complexity classes P d , Co-RP d , NP d