Reinfelds, A. Partial decoupling of semidynamical system in metric space. (English) Zbl 0907.39024 J. Tech. Univ. Plovdiv, Fundam. Sci. Appl., Ser. A, Pure Appl. Math. 5, 33-40 (1997). The paper deals with continuous and possibly noninvertible maps \((x,y,\lambda) \mapsto (f(x,y,\lambda),g(x,y,\lambda),\sigma(\lambda))\) in a complete metric space. The main result of the author is that there exists a Lipschitzian with respect to the second variable map \(q\) such that the above map is topologically conjugate to the map \((x,y,\lambda) \mapsto (f_0(x,\lambda),g(q(x,y,\lambda),y,\lambda),\sigma(\lambda))\). Reviewer: E.Minchev (Sofia) Cited in 2 Documents MSC: 39B52 Functional equations for functions with more general domains and/or ranges 37-XX Dynamical systems and ergodic theory 54H20 Topological dynamics (MSC2010) Keywords:partial decoupling; semidynamical system; metric space PDFBibTeX XMLCite \textit{A. Reinfelds}, Izv. Tekh. Univ. Plovdiv 5, 33--40 (1997; Zbl 0907.39024)