Results 1 to 10 of about 160,178 (282)
Chaos from switched-capacitor circuits: Discrete maps [PDF]
Proceedings of the IEEE, 1987 A special-purpose analog computer made of switched-capacitor circuits is presented for analyzing chaos and bifurcation phenomena in nonlinear discrete dynamical systems modeled by discrete maps *n + t = fan)-Experimental results are given for four switched-capacitor circuits described by well-known discrete maps; namely, the logistic map, the piecewise-
A. Rodriguez-Vazquez +4 more
core +7 more sources
Devaney Chaos in Nonautonomous Discrete Systems [PDF]
International Journal of Bifurcation and Chaos, 2016 This paper is concerned with Devaney chaos in nonautonomous discrete systems. It is shown that in its definition, the two former conditions, i.e. transitivity and density of periodic points, in a set imply the last one, i.e. sensitivity, in the case that the set is unbounded, while a similar result holds under two additional conditions in the other ...
Zhu, Hao, Shi, Yuming, Shao, Hua
openaire +4 more sources
Chaos for Discrete Dynamical System [PDF]
Journal of Applied Mathematics, 2013 We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke ...
Lidong Wang, Heng Liu, Yuelin Gao
doaj +4 more sources
Some New Maximally Chaotic Discrete Maps [PDF]
EntropyIn this paper, we first prove (Theorem 1) that any two inputs producing the same output in a symmetric pair of discrete skew tent maps always have the same parity, meaning that they are either both even or both odd.
Hyojeong Choi +5 more
doaj +2 more sources
Field-Programmable Gate Array-Based Chaos Oscillator Implementation for Analog–Discrete and Discrete–Analog Chaotic Synchronization Applications [PDF]
EntropyThis work focuses on evaluating the behavior of analog chaos oscillators in field-programmable gate arrays (FPGAs). This work is motivated by a new approach to designing chaos-based communication systems using chaos oscillator circuits implemented in ...
Ruslans Babajans +2 more
doaj +2 more sources
Chaos in a Discrete Delay Population Model [PDF]
Discrete Dynamics in Nature and Society, 2012 This paper is concerned with chaos in a discrete delay population model. The map of the model is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory.
Zongcheng Li, Qingli Zhao, Di Liang
doaj +3 more sources
Stability, Chaos, and Bifurcation Analysis of a Discrete Chemical System
Complexity, 2022 The local dynamics, chaos, and bifurcations of a discrete Brusselator system are investigated. It is shown that a discrete Brusselator system has an interior fixed point P1,r if r>0.
Abdul Qadeer Khan +2 more
doaj +1 more source
Collatz Attractors Are Space-Filling
Mathematics, 2022 The algebraic topology of Collatz attractors (or “Collatz Feathers”) remains very poorly understood. In particular, when pushed to infinity, is their set of branches discrete or continuous? Here, we introduce a fundamental theorem proving that the latter
Idriss J. Aberkane
doaj +1 more source
Mathematics, 2023 Continuous memristors have been widely studied in recent years; however, there are few studies on discrete memristors in the field of neural networks. In this paper, a four-stable locally active discrete memristor (LADM) is proposed as a synapse, which ...
Minglin Ma +3 more
doaj +1 more source
Discrete Processes and Chaos in Systems of Ordinary Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2022 A method for constructing a one-dimensional discrete mapping describing a certain periodic process in a general system of ordinary autonomous differential equations is proposed.
Vasiliy Ye. Belozyorov +1 more
doaj +1 more source