Results 1 to 10 of about 3,437,451 (208)
Probing 3D chaotic Thomas’ cyclically attractor with multimedia encryption and electronic circuitry [PDF]
Archives of Control Sciences, 2023 This study investigates Thomas’ cyclically symmetric attractor dynamics with mathematical and electronic simulations using a proportional fractional derivative to comprehend the dynamics of a given chaotic system.
NajeebAlam Khan +3 more
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Different linear control laws for fractional chaotic maps using Lyapunov functional [PDF]
Archives of Control Sciences, 2021 Dynamics and control of discrete chaotic systems of fractional-order have received considerable attention over the last few years. So far, nonlinear control laws have been mainly used for stabilizing at zero the chaotic dynamics of fractional maps.
A. Othman Almatroud +5 more
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Modeling of Chaotic Processes by Means of Antisymmetric Neural ODEs
Journal of Optimization, Differential Equations and Their Applications, 2022 The main goal of this work is to construct an algorithm for modeling chaotic processes using special neural ODEs with antisymmetric matrices (antisymmetric neural ODEs) and power activation functions (PAFs).
Vasiliy Ye. Belozyorov +1 more
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On the Equivalence of Real Dynamic Process and Its Neural Network Quadratic Models
Journal of Optimization, Differential Equations and Their Applications, 2021 A dynamic process defined by its own time series is considered. Using the methods of qualitative recurrent analysis, the dimension of the embedding space and the optimal time delay of the specified series are determined.
Vasiliy Ye. Belozyorov +2 more
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Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos
Entropy, 2022 We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core are chaotic but flows that are moving in opposite directions around it are non-chaotic.
Hassan Attarchi, Leonid A. Bunimovich
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Limited predictability of body length in a fish population
Frontiers in Ecology and Evolution, 2022 Recent theoretical studies have identified chaotic dynamics in eco-evolutionary models. Yet, empirical evidence for eco-evolutionary chaos in natural ecosystems is lacking.
Lin Wang, Lin Wang, Ting Wang
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Forum of Mathematics, Sigma, 2023 The action on the trace space induced by a generic automorphism of a suitable finite classifiable ${\mathrm {C}^*}$ -algebra is shown to be chaotic and weakly mixing.
Bhishan Jacelon
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Stability of Neural Ordinary Differential Equations with Power Nonlinearities
Journal of Optimization, Differential Equations and Their Applications, 2020 The article presents a study of solutions of ODEs system with a special nonlinear part, which is a continuous analogue of an arbitrary recurrent neural network (neural ODEs).
Vasiliy Ye. Belozyorov +1 more
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Journal of Optimization, Differential Equations and Their Applications, 2020 A problem of description of algebraic invariants for a linear control system that determine its structure is considered. With the help of these invariants, the equivalence problem of two linear time-invariant control systems with respect to actions of ...
Vasiliy Ye. Belozyorov +2 more
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Partial Differential Equations in Applied Mathematics, 2022 In this work, rich complex dynamics are observed in new fractional-order hyperchaotic systems when employing a modified Caputo-operator based on the extended Gamma function. Thus, the new parameter of the extended Gamma function provides higher degree of
A.E. Matouk, Bachioua Lahcene
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