Abstract
A differentiable dynamic complex is a generalized dynamical system. A differentiable dynamic complex is defined as an extension of the concept of an orientor equation and is a generalization of the constructive definition of a differential dynamic system, as discussed in this paper. The constructive definition of a differential dynamic system considered here has been obtained through generalization of the mathematical model of non-linear electrical network. Basic definitions are introduced and theorems on the problem of finding the space of motion and the dynamic equation of a differentiable dynamic complex are presented. The main conclusion is that the space of motion of the differentiable dynamic complex ℘ is the set union of all ℘-invariant submanifolds of the configuration space of ℘. Examples of differentiable dynamic complexes and differential dynamic systems are given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
