Results 41 to 50 of about 160,178 (282)

Fast Simulation and Chaos Investigation of a DC-DC Boost Inverter

Complexity, 2021
Intensive and repetitive simulations are required to study static and dynamic behaviours of systems. Particular phenomena such as bifurcation and chaos require long simulation times and analysis.
Rachid Dhifaou, Houda Brahmi
doaj   +1 more source

Discrete Dynamical Systems Embedded in Cantor Sets

, 2006
While the notion of chaos is well established for dynamical systems on manifolds, it is not so for dynamical systems over discrete spaces with $ N $ variables, as binary neural networks and cellular automata.
Alberto Verjovsky, Atkinson K. E., Choquet-Bruhat Y., Devaney R., Fabio Benatti, Federico Zertuche, Hertz J., Kauffman S. A., Pontrjagin L., Weisbuch G., Wiggins S., Wolfram S.   +11 more
core   +3 more sources

AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata

Advanced Science, EarlyView.
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich, Noah S. David, Markus J. Buehler   +2 more
wiley   +1 more source

Complex Behavior Analysis and Chaos Control of Electronic Circuits

Chemical Engineering Transactions, 2016
In-depth analysis of the complex nature of the circuit, this paper discussed chaotic dynamics theory. The numerical simulation of power electronic circuits gives the complex dynamic behavior of the circuit.
B.F. Zhang
doaj   +1 more source

Chaos in Discrete Structured Population Models [PDF]

SIAM Journal on Applied Dynamical Systems, 2012
We prove analytically the existence of chaotic dynamics in some classical discrete-time age-structured population models. Our approach allows us to estimate the sensitive dependence on the initial conditions, regions of initial data with chaotic behavior, and explicit ranges of parameters for which the considered models display chaos.
Eduardo Liz, Alfonso Ruiz-Herrera
openaire   +1 more source

Comparison of averages of flows and maps [PDF]

, 2001
It is shown that in transient chaos there is no direct relation between averages in a continuos time dynamical system (flow) and averages using the analogous discrete system defined by the corresponding Poincare map.
A. Németh, G. Károlyi, G. Pianigiani, G. Pianigiani, H. Kantz, H. Lustfeld, H. Lustfeld, I. Claus, J.-P. Eckmann, L.A. Bunimovich, P. Collet, P. Gaspard, P. Gaspard, P. Gaspard, S. Grossmann, T. Geisel, T. Gilbert, T. Tél, Z. Kaufmann, Z. Kaufmann, Z. Neufeld   +20 more
core   +2 more sources

Conformable Microelectrode Arrays Integrated with a Scoop‐Shaped Slide‐Well for Dynamic Electrophysiological Profiling of Patient‐Derived Cardiac Organoids

Advanced Science, EarlyView.
A flexible, ultrathin multi‐channel microelectrode array (MEA) conformally integrated onto a curved slide‐well enables stable electrical interfacing with 3D cardiac organoids. The geometry‐guided self‐alignment allows simultaneous recording of extracellular field potentials and contractile motion from irregular, beating tissues.
Ye Seul Kim, Jeonghwa Jeong, Gyeonghwa Heo, Young Woo Kwon, Jeongha Lee, Yoon Ji Jeong, Gyu Tae Park, Seongdo Jeong, Ki Won Hwang, Murim Choi, Jinhong Shin, Suck Won Hong, Jae Ho Kim   +12 more
wiley   +1 more source

On the dynamics and chaos control of two discrete systems related to a singularly perturbed equation

Alexandria Engineering Journal
This research paper focuses on investigating the dynamics and chaos control of two discrete systems corresponding to the singularly perturbed equation associated to the Hénon difference equation with continuous arguments.
A.M.A. El-Sayed, S.M. Salman, A.M.A. Abo-Bakr   +2 more
doaj   +1 more source

On some dense sets in the space of dynamical systems

Advanced Nonlinear Studies, 2023
The natural consequence of the existence of different kinds of chaos is the study of their mutual dependence and the relationship between these concepts and the entropy of systems. This observation also applies to the local approach to this issue.
Pawlak Ryszard J., Poprawa Justyna
doaj   +1 more source

Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices

, 2018
We numerically investigate the characteristics of chaos evolution during wave packet spreading in two typical one-dimensional nonlinear disordered lattices: the Klein-Gordon system and the discrete nonlinear Schr\"{o}dinger equation model.
Manda, B. Many, Senyange, B., Skokos, Ch.   +2 more
core   +1 more source