Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors

NV Kuznetsov, GA Leonov - IFAC Proceedings Volumes, 2014 - Elsevier
From a computational point of view it is natural to suggest the classification of attractors,
based on the simplicity of finding basin of attraction in the phase space: an attractor is called …

Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives

I Zelinka, R Senkerik - Journal of Difference Equations and …, 2023 - Taylor & Francis
This paper delves into the intersection between discrete dynamical systems and bio-inspired
metaheuristic algorithms. Chaos, an inherent phenomenon manifested by both continuous …

A survey on evolutionary algorithms dynamics and its complexity–Mutual relations, past, present and future

I Zelinka - Swarm and Evolutionary Computation, 2015 - Elsevier
Swarm and evolutionary based algorithms represent a class of search methods that can be
used for solving optimization problems. They mimic natural principles of evolution and …

Novel encryption method based on optical time-delay chaotic system and a wavelet for data transmission

A Bouhous, K Kemih - Optics & Laser Technology, 2018 - Elsevier
In this paper, a new encryption approach based on optical time-delay chaotic system and a
wavelet is proposed for date transmission. The general principle of this method is to drown …

Exponential synchronization of chaotic xian system using linear feedback control

JH Pérez-Cruz, PA Tamayo-Meza, M Figueroa… - …, 2019 - Wiley Online Library
In this paper, a new linear feedback controller for synchronization of two identical chaotic
systems in a master‐slave configuration is presented. This controller requires knowing a …

Evolutionary identification of hidden chaotic attractors

I Zelinka - Engineering Applications of Artificial Intelligence, 2016 - Elsevier
In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and
deterministic chaos. As demonstrated in previous research papers, evolutionary algorithms …

Surface evaluation by estimation of fractal dimension and statistical tools

V Hotar, P Salac - The Scientific World Journal, 2014 - Wiley Online Library
Structured and complex data can be found in many applications in research and
development, and also in industrial practice. We developed a methodology for describing …

Identification of Chua's chaotic circuit parameters using penguins search optimisation algorithm

F Maamri, S Bououden, I Boulkaibet - Cyber-Physical Systems, 2022 - Taylor & Francis
In this paper, the Penguins Search optimisation (PeSOA) Algorithm is used to identify
optimal control parameters of the Chua circuit. The PeSOA algorithm, which is one of the …

The Pachycondyla Apicalis metaheuristic algorithm for parameters identification of chaotic electrical system

F Maamri, S Bououden, M Chadli… - International Journal of …, 2018 - Taylor & Francis
In this work, the Pachycondyla Apicalis metaheuristic algorithm (API) is used to identify and
optimize control parameters for piezoelectric oscillator that exhibits frequency hysteresis …

Trajectory tracking between Josephson junction and classical chaotic system via iterative learning control

CK Cheng, PCP Chao - Applied Sciences, 2018 - mdpi.com
This article addresses trajectory tracking between two non-identical systems with chaotic
properties. To study trajectory tracking, we used the Rossler chaotic and resistive-capacitive …