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16th International Conference Management of Large-Scale System Development, MLSD 2023

作者： Tkacheva, Olga Utkin, Victor V.A. Trapeznikov Institute of Control Sciences of Ras Laboratory of Nonlinear Dynamical Systems Moscow Russia V.A. Trapeznikov Institute of Control Sciences of Ras Laboratory of Dynamics of Nonlinear Control Processes Moscow Russia

The article discusses the two-dimensional modified Lotka-Volterra model. An approach based on expanding the state space is used in order to stabilize the number of preys. The observer recovers unmeasured variables and... 详细信息

ISBN: (纸本)9798350337907

关键词： Predator prey systems

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Design of unbiased reduced order filter for stochastic systems with sampled measurements 12

Design of unbiased reduced order filter for stochastic syste...

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12th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2023

作者： Kamenshchikov, Mikhail Lomonosov Moscow State University Faculty of Computational Mathematics and Cybernetics Department of Nonlinear Dynamical Systems and Control Processes Moscow119991 Russia V. A. Trapeznikov Institute of Control Sciences Russian Academy of Sciences Laboratory of Terminal Control Systems Moscow117997 Russia National University of Science and Technology "MISiS" Department of Engineering Cybernetics Moscow119049 Russia

The problem of synthesizing reduced order filter, that forms an unbiased estimate of linear functional from an unknown phase vector of a continuous time stochastic system with sampled measurements and additive noises, is considered in this work. The H2 norm of the weighted transfer function from input noises to estimation error is used as a performance criterion. The method for reduced order filter design is based on the expression of the explicit dependence of performance criterion on unknown parameters in the canonical basis and the application of the non-convex optimization technique. Numerical simulations are performed to illustrate the proposed approach. © 2024 Institute of Physics Publishing. All rights reserved.

关键词： Stochastic systems

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On fractional discrete financial system:Bifurcation,chaos,and control

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Chinese Physics B 2024年第10期33卷 129-140页

作者： Louiza Diabi Adel Ouannas Amel Hioual Shaher Momani Abderrahmane Abbes Laboratory of Dynamical Systems and Control University of Larbi Ben M’hidiOum El Bouaghi 04000Algeria Department of Mathematics and Computer Science University of Larbi Ben M’hidiOum El Bouaghi 04000Algeria Nonlinear Dynamics Research Center Ajman UniversityAjman 346United Arab Emirates Department of Mathematics The University of JordanAmman 11942Jordan Laboratory of Mathematics Dynamics and ModelizationUniversity Badji MokhtarAnnaba 23000Algeria

The dynamic analysis of financial systems is a developing field that combines mathematics and economics to understand and explain fluctuations in financial *** paper introduces a new three-dimensional(3D)fractional financial map and we dissect its nonlinear dynamics system under commensurate and incommensurate *** such,we evaluate when the equilibrium points are stable or unstable at various fractional *** use many numerical methods,phase plots in 2D and 3D projections,bifurcation diagrams and the maximum Lyapunov *** techniques reveal that financial maps exhibit chaotic attractor *** study is grounded on the Caputo-like discrete operator,which is specifically influenced by the variance of the commensurate and incommensurate ***,we confirm the presence and measure the complexity of chaos in financial maps by the 0-1 test and the approximate entropy ***,we offer nonlinear-type controllers to stabilize the fractional financial *** numerical results of this study are obtained using MATLAB.

关键词： financial model stability chaos commensurate and incommensurate orders complexity

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control of the Predator-Prey System Based on the Expansion of the State Space

Control of the Predator-Prey System Based on the Expansion o...

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International Conference on Management of Large-Scale System Development (MLSD)

作者： Olga Tkacheva Victor Utkin Laboratory of Nonlinear Dynamical Systems V.A. Trapeznikov Institute of Control Sciences of RAS Moscow Russia Laboratory of Dynamics Of Nonlinear Control Processes V.A. Trapeznikov Institute of Control Sciences of RAS Moscow Russia

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Chaotic Attractors in Quadratic Discrete Tinkerbell System With Non-Commensurate Fractional Variable-Orders: Complexity, Chaos and Entropy∗

Chaotic Attractors in Quadratic Discrete Tinkerbell System W...

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2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

作者： Ahmed, Souad Bensid Ouannas, Adel Horani, Mohammed Al Khennaoui, Amina Aicha Batiha, Iqbal M. The University of Jordan Department of Mathematics Amman Jordan The University of Oum El Bouaghi Department of Mathematics and Computer Science Oum El Bouaghi Algeria The University of Oum El Bouaghi Department Laboratory of Dynamical Systems and Control Oum El Bouaghi Algeria Al Zaytoonah University of Jordan Department of Mathematics Amman Jordan Ajman University Nonlinear Dynamics Research Center Ajman United Arab Emirates

ISBN: (纸本)9798350321685

This manuscript analyzes the dynamical properties of the incommensurate variable fractional discrete Tinkerbell system. Through time evolution of the states, phase portraits, lyapunov exponents and bifurcation diagrams, it is indicated that the two dimensional incommensurate fractional variable-order Tinkerbell map with discrete time exhibits chaotic and periodic behaviour. The approximation entropy is also used to estimate the complexity of the incommensurate variable fractional-order Tinkerbell system with discrete time. Finally, the 0-1 test plots of the presented discrete Tinkerbell map with incommensurate variable fractional-order validate the findings from the largest lyapunov exponents, bifurcation diagrams and approximate entropy. Numerical results are provided out to simulate the effectiveness of the approach described herein. © 2023 IEEE.

关键词： Entropy

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Stability Results for nonlinear Fractional Differential Equations with Incommensurate Orders

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IFAC-PapersOnLine 2024年第12期58卷 286-290页

作者： Shaher Momani Noureddine Djenina Adel Ouannas Iqbal M. Batiha Department of Mathematics The University of Jordan Amman 11942 Jordan Nonlinear Dynamics Research Center Ajman University Ajman UAE Laboratory of Dynamical Systems and Control University of Larbi Ben M’hidi Oum El-Bouaghi Algeria Department of Mathematics Al Zaytoonah University Amman 11733 Jordan Nonlinear Dynamics Research Center Ajman University Ajman UAE

This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.

关键词： Incommensurate order Caputo differential operator Lyapunov function

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Finite-Time Stability of ABC Type ℏ-Fractional Discrete Neural Networks: Gronwall Inequality and Stability Criterion

Finite-Time Stability of ABC Type ℏ-Fractional Discrete Neu...

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International Conference on Fractional Differentiation and Its Applications (ICFDA)

作者： Amel Hioual Adel Ouannas Shaher Momani Taki-Eddine Oussaeif Laboratory of Dynamical Systems and Control University of Oum EL-Bouaghi Algeria Department of Mathematics and Computer Science University of Oum EL-Bouaghi Algeria Nonlinear Dynamics Research Center (NDRC) Ajman University Ajman UAE Department of Mathematics The University of Jordan Amman Jordan

The dynamics of fractional-order difference neural networks are currently a major research area, with several noteworthy discoveries. The dynamics of discrete-time neural networks with $\hbar$-fractional nonlocal and nonsingular kernels, on the other hand, have not been thoroughly researched, and this paper is one of the first to address this subject. The main focus of this research is the finite-time stability of discrete-time neural networks based on the nabla ABC fractional difference operator. First, the Atangana-Baleanu $\hbar$-fractional difference sum operator is used to investigate a generalized $\hbar$-Gronwall inequality. This inequality also yields the uniqueness theorem and the finite-time stability criterion of nonlinear $\hbar$-fractional neural networks. Finally, several examples are offered to show the effectiveness of our theoretical conclusion.

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Chaotic Attractors in Quadratic Discrete Tinkerbell System With Non-Commensurate Fractional Variable-Orders: Complexity, Chaos and Entropy*

Chaotic Attractors in Quadratic Discrete Tinkerbell System W...

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International Conference on Fractional Differentiation and Its Applications (ICFDA)

作者： Souad Bensid Ahmed Adel Ouannas Mohammed Al Horani Amina Aicha Khennaoui Iqbal M. Batiha Department of Mathematics The University of Jordan Amman Jordan Department of Mathematics and Computer Science The University of Oum El Bouaghi Oum El Bouaghi Algeria Department Laboratory of Dynamical Systems and Control The University of Oum El Bouaghi Oum El Bouaghi Algeria Department of Mathematics Al Zaytoonah University of Jordan Amman Jordan Nonlinear Dynamics Research Center Ajman University Ajman UAE

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A parametric study of an electrothermal oscillator based on shape memory alloys 21

A parametric study of an electrothermal oscillator based on ...

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21st International Symposium on Electrical Apparatus and Technologies, SIELA 2020

作者： Todorov, Todor Mitrev, Rosen Yatchev, Ivan Fursov, Andrei Ilin, Alexander Fomichev, Vasily Technical University of Sofia Department of Theory of Mechanisms and Machines Sofia Bulgaria Department of Logistics Engineering Material Handling and Construction Equipment Technical University of Sofia Sofia Bulgaria Technical University of Sofia Department of Ellectrical Apparatus Sofia Bulgaria Lomonosov Moscow State University Department of Nonlinear Dynamical Systems and Control Processes Moscow Russia

ISBN: (纸本)9781728143460

The paper presents a parametric study of an electrothermal oscillator based on Shape Memory Alloy. The operating principle of the oscillator is established on a heated by electric current Shape Memory Alloy wire, mounted with a pre-tension between the free ends of two symmetrically placed cantilever beams. The effect of crystallographic changes in the wire due to heating leads to the generation of mechanical and electrical vibrations. Parametric studies were conducted to investigate the influence of the input parameters on the system output characteristics. © 2020 IEEE.

关键词： Electric heating

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Hidden attractors in a new fractional-order discrete system: Chaos, complexity, entropy, and control

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Chinese Physics B 2020年第5期29卷 174-181页

作者： Adel Ouannas Amina Aicha Khennaoui Shaher Momani Viet-Thanh Pham Reyad El-Khazali Laboratory of Mathematics Informatics and Systems(LAMIS)University of Laarbi TebessiTebessa12002Algeria College of Humanities and Sciences Ajman UniversityAjmanUAE Laboratory of Dynamical Systems and Control University of Larbi Ben M’hidiOum El BouaghiAlgeria Department of Mathematics Faculty of ScienceUniversity of JordanAmman 11942Jordan Nonlinear Systems and Applications Faculty of Electrical and Electronics EngineeringTon Duc Thang UniversityHo Chi Minh CityVietnam ECCE Department Khalifa UniversityAbu-Dhabi 127788United Arab Emirates

This paper studies the dynamics of a new fractional-order discrete system based on the Caputo-like difference *** is the first study to explore a three-dimensional fractional-order discrete chaotic system without *** phase portrait,bifurcation diagrams,and largest Lyapunov exponents,it is shown that the proposed fractional-order discrete system exhibits a range of different dynamical ***,different tests are used to confirm the existence of chaos,such as 0-1 test and C0 *** addition,the quantification of the level of chaos in the new fractional-order discrete system is measured by the approximate entropy ***,based on the fractional linearization method,a one-dimensional controller to stabilize the new system is *** results are presented to validate the findings of the paper.

关键词： discrete chaos discrete fractional calculus hidden attractor

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