On possibility of realization of the Mandelbrot set in coupled continuous systems
نویسندگان
چکیده
According to the method, suggested in our previous work (arxiv:nlin.CD/0509012) and based on the consideration of the specially coupled systems, the possibility of physical realization of the phenomena of complex analytic dynamics (such as Mandelbrot and Julia sets) is discussed. It is shown, that unlike the case of discrete maps or differential systems with periodic driving, investigated in mentioned work, there are some difficulties in attempts to obtain the Mandelbrot set for the coupled autonomous continuous systems. A system of coupled autonomous Rössler oscillators is considered as an example.
منابع مشابه
On possibility of realization of the phenomena of complex analytic dynamics in physical systems. Novel mechanism of the synchronization loss in coupled period-doubling systems
The possibility of realization of the phenomena of complex analytic dynamics for the realistic physical models are investigated. Observation of the Mandelbrot and Julia sets in the parameter and phase spaces both for the discrete maps and non-autonomous continuous systems is carried out. For these purposes, the method, based on consideration of coupled systems, demonstrating period-doubling cas...
متن کاملExtension of the Douady-Hubbard's Theorem on Connectedness of the Mandelbrot Set to Symmetric Polynimials
متن کامل
Analysis of the effect of "ignorance" on realization The "Al-Dar" rule In the legislative and judicial system of Iran
In penal systems, presumption of knowledge of law and its probative value have lost its general function,Due to relatively numerous exceptions and violations of justice and fairness. In the Islamic Penal Code adopted in 2013,Because of the connection between ignorance and another category called "Suspicion",There is more flexibility in accepting ignorance as a legal excuse.However,in Articles 1...
متن کاملAn Algorithm for Multi-Realization of Nonlinear MIMO Systems
This paper presents a theoretical approach to implementation of the “Multi-realization of nonlinear MIMO systems”. This method aims to find state-variable realization for a set of systems, sharing as many parameters as possible. In this paper a special nonlinear multi-realization problem, namely the multi-realization of feedback linearizable nonlinear systems is considered and an algorithm for ...
متن کاملA duality between LM-fuzzy possibility computations and their logical semantics
Let X be a dcpo and let L be a complete lattice. The family σL(X) of all Scott continuous mappings from X to L is a complete lattice under pointwise order, we call it the L-fuzzy Scott structure on X. Let E be a dcpo. A mapping g : σL(E) −> M is called an LM-fuzzy possibility valuation of E if it preserves arbitrary unions. Denote by πLM(E) the set of all LM-fuzzy possibility valuations of E. T...
متن کامل