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学者姓名：乔元华
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Abstract ：
Exponential synchronization for a class of delayed discontinuous complex-valued neural networks (CVNNs) with leakage delay and diffusion effects is investigated in this paper. First, CVNNs are separated into real and imaginary parts, an equivalent real-valued subsystems are obtained for the analysis. Then, some novel and flexible algebraic criteria are established to ensure the exponential synchronization of the discontinuous CVNNs by designing feedback and adaptive control, which improves the control performance, and the control parameters are adjusted automatically. Compared with the previous research, the proposed neural network models are more practical and realistic, and the obtained results take into account the impacts brought by reaction diffusion, discontinuity activations, leakage delay and complex values simultaneously, and the research enrich the previously analysis. Finally, a numerical simulation is presented to verify the effectiveness and applicability of the developed theoretical results.
Keyword ：
Reaction-diffusion Reaction-diffusion Exponential synchronization Exponential synchronization Leakage delay Leakage delay Complex-valued neural network Complex-valued neural network
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| GB/T 7714 | Qian, Yinjie , Qiao, Yuanhua . Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations [J]. | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2025 , 145 . |
| MLA | Qian, Yinjie 等. "Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations" . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 145 (2025) . |
| APA | Qian, Yinjie , Qiao, Yuanhua . Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2025 , 145 . |
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Abstract ：
In this paper, a quad-trophic food chain model with Beddington-DeAngelis functional response is formulated by incorporating fear effect and prey refuge. Firstly, it is proved that the system is dissipative. Five types of equilibria are identified, and the criteria for local and global stabilities of the coexistence equilibrium are deduced by Routh-Hurwitz criteria and Li-Muldowney geometric approach. Secondly, multiple bifurcations are explored. It is shown that the system undergoes transcritical bifurcation and pitchfork bifurcation by the Sotomayor's theorem, Hopf Bifurcation by normal form theory, heteroclinic bifurcation and homoclinic bifurcation by stability analysis of manifolds. Moreover, we present numerical experiments to verify the correctness of theoretical analysis. In particular, it is observed that the system undergoes period doubling and period halving cascades, cataclysm, and quasi periodic bifurcation (a torus), thereby entering or escaping chaotic state. It is also observed a saddle-focus homoclinic loop, a period two saddle-focus homoclinic loop, and a period three saddle-focus homoclinic loop for the system. Finally, it is found that fear effect and prey refuge can stabilize the system.
Keyword ：
Quasi-periodicity Quasi-periodicity Period doubling cascades Period doubling cascades Chaos Chaos Bifurcation Bifurcation Global stability Global stability
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| GB/T 7714 | Shang, Zuchong , Qiao, Yuanhua . Complex Dynamics of a Quad-Trophic Food Chain Model with Beddington-DeAngelis Functional Response, Fear Effect and Prey Refuge [J]. | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS , 2025 , 24 (1) . |
| MLA | Shang, Zuchong 等. "Complex Dynamics of a Quad-Trophic Food Chain Model with Beddington-DeAngelis Functional Response, Fear Effect and Prey Refuge" . | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 24 . 1 (2025) . |
| APA | Shang, Zuchong , Qiao, Yuanhua . Complex Dynamics of a Quad-Trophic Food Chain Model with Beddington-DeAngelis Functional Response, Fear Effect and Prey Refuge . | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS , 2025 , 24 (1) . |
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Abstract ：
In this paper, rich dynamics and complex bifurcations of an SIR epidemic model with saturated incidence rate and strong Allee effect are investigated. First, the existence of disease-free and endemic equilibria is explored, and we prove that the system has at most three positive equilibria, which exhibit different types such as hyperbolic saddle and node, degenerate unstable saddle (node) of codimension 2, degenerate saddle-node of codimension 3 at disease-free equilibria, and cusp, focus, and elliptic types Bogdanov-Takens singularities of codimension 3 at endemic equilibria. Second, bifurcation analysis at these equilibria are investigated, and it is found that the system undergoes a series of bifurcations, including transcritical, saddle node, Hopf, degenerate Hopf, homoclinic, cusp type Bogdanov-Takens of codimensional 2, and focus and elliptic type Bogdanov-Takens bifurcation of codimension 3 which are composed of some bifurcations with lower codimension. The system shows very rich dynamics such as the coexistence of multiple periodic orbits and homoclinic loops. Finally, numerical simulations are conducted on the theoretical results.
Keyword ：
Saddle-node Bifurcation Saddle-node Bifurcation Degenerate Hopf Bifurcation Degenerate Hopf Bifurcation Bogdanov-Takens Bifurcation Bogdanov-Takens Bifurcation Transcritical Bifurcation Transcritical Bifurcation SIR Epidemic Model SIR Epidemic Model
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| GB/T 7714 | Zhang, Jiajia , Qiao, Yuanhua . BIFURCATION ANALYSIS OF AN SIR MODEL WITH SATURATED INCIDENCE RATE AND STRONG ALLEE EFFECT [J]. | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 32 (01) : 1-36 . |
| MLA | Zhang, Jiajia 等. "BIFURCATION ANALYSIS OF AN SIR MODEL WITH SATURATED INCIDENCE RATE AND STRONG ALLEE EFFECT" . | JOURNAL OF BIOLOGICAL SYSTEMS 32 . 01 (2024) : 1-36 . |
| APA | Zhang, Jiajia , Qiao, Yuanhua . BIFURCATION ANALYSIS OF AN SIR MODEL WITH SATURATED INCIDENCE RATE AND STRONG ALLEE EFFECT . | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 32 (01) , 1-36 . |
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Abstract ：
In this paper, a modified Leslie-type predator-prey system with Holling-type III functional response is formulated to investigate the dynamics in the presence of special Allee effect induced by fear factors. First, we calculate the first three focal values by the method of successor function to ensure that the system has an unstable weak focus of multiplicity 3. A focus- or center-type degenerate Bogdanov-Takens singularity of codimension 3 and a weak focus of multiplicity 1 or 2 together with a cusp of codimension 2 are derived for the system. Then multiple bifurcations are explored. It is shown that the system undergoes Hopf bifurcation of codimension 3 and hence three limit cycles are generated. There exists another large stable limit cycle enclosing these three limit cycles by Poincar & eacute;-Bendixson theorem. We demonstrate that a degenerate focus-type Bogdanov-Takens bifurcation of codimension 3 can occur by calculating the universal unfolding. It is also shown that a subcritical, supercritical or degenerate Hopf bifurcation occurs together with a Bogdanov-Takens bifurcation. Finally, numerical simulations are used to support the theoretical results. The analysis results reveal that the special Allee effect is beneficial for the persistence and diversity of ecosystem.
Keyword ：
degenerate Hopf bifurcation of codimension 3 degenerate Hopf bifurcation of codimension 3 Predator-prey model Predator-prey model limit cycles limit cycles special Allee effect special Allee effect degenerate focus-type Bogdanov-Takens bifurcation of codimension 3 degenerate focus-type Bogdanov-Takens bifurcation of codimension 3
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| GB/T 7714 | Shang, Zuchong , Qiao, Yuanhua . Bifurcation analysis in a modified Leslie-type predator-prey system with Holling-type III functional response and special Allee effect induced by fear factors [J]. | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2024 . |
| MLA | Shang, Zuchong 等. "Bifurcation analysis in a modified Leslie-type predator-prey system with Holling-type III functional response and special Allee effect induced by fear factors" . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2024) . |
| APA | Shang, Zuchong , Qiao, Yuanhua . Bifurcation analysis in a modified Leslie-type predator-prey system with Holling-type III functional response and special Allee effect induced by fear factors . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2024 . |
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Abstract ：
A model of impulsive octonion-valued fuzzy inertial neural networks (OVFINNs) with time-varying delays is established, and fixed-time (FXT) synchronization is investigated by using direct octonion approach. First, a new FXT stability lemma of impulsive systems is presented and the upper bound of settling time is estimated by using the average impulsive interval and comparison principle. Second, two inequalities on fuzzy logic are developed in the field of octonion. Third, novel lemmas are introduced based on octonion-valued norm and sign function to overcome the non associative and non commutative laws of octonion multiplication. Furthermore, two new nonlinear octonion-valued controllers are directly designed to induce the FXT synchronization. Then, according to the improving FXT stability lemma and designed controllers, some novel sufficient conditions are given to ensure FXT synchronization of OVFINNs. Finally, two numerical simulations are given to demonstrate the correctness of the theoretical results and the effectiveness of FXT synchronization in secure communication.
Keyword ：
octonion-valued neural networks (OVNNs) octonion-valued neural networks (OVNNs) Biological neural networks Biological neural networks Artificial neural networks Artificial neural networks Quaternions Quaternions FXT synchronization FXT synchronization Fixed-time (FXT) stability Fixed-time (FXT) stability Stability criteria Stability criteria Synchronization Synchronization Numerical stability Numerical stability impulsive systems impulsive systems Neurons Neurons
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| GB/T 7714 | Zhao, Ningning , Qiao, Yuanhua , Miao, Jun et al. Fixed-Time Synchronization of Impulsive Octonion-Valued Fuzzy Inertial Neural Networks via Improving Fixed-Time Stability [J]. | IEEE TRANSACTIONS ON FUZZY SYSTEMS , 2024 , 32 (4) : 1978-1990 . |
| MLA | Zhao, Ningning et al. "Fixed-Time Synchronization of Impulsive Octonion-Valued Fuzzy Inertial Neural Networks via Improving Fixed-Time Stability" . | IEEE TRANSACTIONS ON FUZZY SYSTEMS 32 . 4 (2024) : 1978-1990 . |
| APA | Zhao, Ningning , Qiao, Yuanhua , Miao, Jun , Duan, Lijuan . Fixed-Time Synchronization of Impulsive Octonion-Valued Fuzzy Inertial Neural Networks via Improving Fixed-Time Stability . | IEEE TRANSACTIONS ON FUZZY SYSTEMS , 2024 , 32 (4) , 1978-1990 . |
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Abstract ：
In this paper, we investigate a simplified Holling IV type predator-prey model with weak Allee effect on prey and anti-predator behavior. First, the existence and stability of all possible equilibria are analyzed, which suggests the changing trend of the predator-prey system under different initial values. Second, bifurcation analysis at the equilibria are performed to explore the dynamic behavior of the system while the parameters pass the critical values, which reveals the influence of the death rate, anti-predator behavior and weak Allee effect on the system. It is found that the system undergoes saddle-node bifurcation, cusp type Bogdanov-Takens bifurcation of codimension 2 and 3, and Hopf bifurcation, forming the organizing center of a series of codimensional bifurcations. The bifurcations indicate the change of the final state and the occurrence of oscillations of the predator-prey system under different parameters. Finally, the theoretical results are confirmed by numerical simulations.
Keyword ：
Anti-Predator Behavior Anti-Predator Behavior Simplified Holling IV Type Simplified Holling IV Type Bogdanov-Takens Bifurcation Bogdanov-Takens Bifurcation Hopf Bifurcation Hopf Bifurcation Weak Allee Effect Weak Allee Effect
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| GB/T 7714 | Pang, Xiaoli , Qiao, Yuanhua . DYNAMICS OF A SIMPLIFIED HOLLING IV TYPE PREDATOR-PREY SYSTEM WITH WEAK ALLEE EFFECT ON PREY AND ANTI-PREDATOR BEHAVIOR [J]. | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 33 (01) : 195-220 . |
| MLA | Pang, Xiaoli et al. "DYNAMICS OF A SIMPLIFIED HOLLING IV TYPE PREDATOR-PREY SYSTEM WITH WEAK ALLEE EFFECT ON PREY AND ANTI-PREDATOR BEHAVIOR" . | JOURNAL OF BIOLOGICAL SYSTEMS 33 . 01 (2024) : 195-220 . |
| APA | Pang, Xiaoli , Qiao, Yuanhua . DYNAMICS OF A SIMPLIFIED HOLLING IV TYPE PREDATOR-PREY SYSTEM WITH WEAK ALLEE EFFECT ON PREY AND ANTI-PREDATOR BEHAVIOR . | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 33 (01) , 195-220 . |
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Abstract ：
In this paper, in order to obtain a smaller estimation of settling time, reduce chattering caused by sign function and improve network communication efficiency, the fixed-time (FXT) synchronization of delayed BAM neural networks is analyzed based on some new FXT stability results and non-chattering quantized controllers. Firstly, by comprehensively discussing the conditions of power laws in differential inequalities, a new FXT stability lemma is presented and a smaller upper bound of settling time is estimated. Then, unlike previous controllers with sign functions, a non-chattering quantized state feedback control and a non-chattering quantized pinning control are designed, and some sufficient conditions are derived to ensure FXT synchronization of the established system. Finally, two numerical simulations are given to verify the effectiveness of the theoretical results. The results show that compared with the previous researches, this paper provides a smaller upper bound. However, the convergence time of the uncontrolled nodes is indirectly affected by the coupling of the controlled nodes and is much longer than the estimated upper bound. & COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.
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| GB/T 7714 | Yan, Hongyun , Qiao, Yuanhua , Miao, Jun et al. Fixed-time synchronization of delayed BAM neural networks via new fixed-time stability results and non-chattering quantized controls [J]. | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS , 2023 , 360 (13) : 10251-10274 . |
| MLA | Yan, Hongyun et al. "Fixed-time synchronization of delayed BAM neural networks via new fixed-time stability results and non-chattering quantized controls" . | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 360 . 13 (2023) : 10251-10274 . |
| APA | Yan, Hongyun , Qiao, Yuanhua , Miao, Jun , Ren, Zhihua , Duan, Lijuan . Fixed-time synchronization of delayed BAM neural networks via new fixed-time stability results and non-chattering quantized controls . | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS , 2023 , 360 (13) , 10251-10274 . |
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Abstract ：
Ground-glass nodules (GGN) are the main manifestation of early lung cancer, and accurate and efficient identification of ground-glass pulmonary nodules is of great significance for the treatment of lung diseases. In response to the problem of traditional machine learning requiring manual feature extraction, and most deep learning models applied to 2D image classification, this paper proposes a Transformer-based recognition model for ground-glass nodules from the view of global 3D asymmetry feature representation. Firstly, a 3D convolutional neural network is used as the backbone to extract the features of the three-dimensional CT-image block of pulmonary nodules automatically; secondly, positional encoding information is added to the extracted feature map and input into the Transformer encoder layer for further extraction of global 3D asymmetry features, which can preserve more spatial information and obtain higher-order asymmetry feature representation; finally, the extracted asymmetry features are entered into a support vector machine or ELM-KNN model to further improve the recognition ability of the model. The experimental results show that the recognition accuracy of the proposed method reaches 95.89%, which is 4.79, 2.05, 4.11, and 2.74 percentage points higher than the common deep learning models of AlexNet, DenseNet121, GoogLeNet, and VGG19, respectively; compared with the latest models proposed in the field of pulmonary nodule classification, the accuracy has been improved by 2.05, 2.05, and 0.68 percentage points, respectively, which can effectively improve the recognition accuracy of ground-glass nodules.
Keyword ：
transformer transformer ELM-KNN ELM-KNN support vector machine support vector machine 3D ResNet 3D ResNet ground-glass nodules ground-glass nodules
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| GB/T 7714 | Miao, Jun , Zhang, Maoxuan , Chang, Yiru et al. Transformer-Based Recognition Model for Ground-Glass Nodules from the View of Global 3D Asymmetry Feature Representation [J]. | SYMMETRY-BASEL , 2023 , 15 (12) . |
| MLA | Miao, Jun et al. "Transformer-Based Recognition Model for Ground-Glass Nodules from the View of Global 3D Asymmetry Feature Representation" . | SYMMETRY-BASEL 15 . 12 (2023) . |
| APA | Miao, Jun , Zhang, Maoxuan , Chang, Yiru , Qiao, Yuanhua . Transformer-Based Recognition Model for Ground-Glass Nodules from the View of Global 3D Asymmetry Feature Representation . | SYMMETRY-BASEL , 2023 , 15 (12) . |
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Abstract ：
The global exponential synchronization of Clifford-valued memristive fuzzy neural networks (CLVMFNNs) with delayed impulses and time-varying delays is investigated. The Clifford-valued NNs are an extension of complex-valued and quaternion-valued NNs. In order to describe the system as realistically as possible, Clifford-valued memristive fuzzy neural networks with delayed impulses and time-varying delays are established. To avoid non-commutativity of the multiplication of Clifford numbers, Clifford-valued neural networks are decomposed into real-valued neural networks. To explore the exponential stability of delayed impulsive systems, a novel lemma is proposed by using Halanay differential inequality. To induce the global exponential synchronization, a novel and simple linear feedback controller is designed. Sufficient conditions are given to ensure the global exponential synchronization using the proposed novel lemma under the designed feedback controller. Compared with the previous results, the conditions given in this paper are more effective and less conservative. A numerical simulation is given to verify the effectiveness of the theoretical results.
Keyword ：
Global exponential synchronization Global exponential synchronization Time-varying delays Time-varying delays Delayed impulsive systems Delayed impulsive systems Clifford-valued neural networks Clifford-valued neural networks
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| GB/T 7714 | Zhao, Ningning , Qiao, Yuanhua . Global Exponential Synchronization of Clifford-Valued Memristive Fuzzy Neural Networks with Delayed Impulses [J]. | COGNITIVE COMPUTATION , 2023 , 16 (2) : 671-681 . |
| MLA | Zhao, Ningning et al. "Global Exponential Synchronization of Clifford-Valued Memristive Fuzzy Neural Networks with Delayed Impulses" . | COGNITIVE COMPUTATION 16 . 2 (2023) : 671-681 . |
| APA | Zhao, Ningning , Qiao, Yuanhua . Global Exponential Synchronization of Clifford-Valued Memristive Fuzzy Neural Networks with Delayed Impulses . | COGNITIVE COMPUTATION , 2023 , 16 (2) , 671-681 . |
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Abstract ：
The influences of Allee effect and density-dependent mortality on population growth are of great significance in ecology. In this paper, we first consider a Gause-type predator-prey model with simplified Holling type IV functional response, strong Allee effect on prey, and density-dependent mortality of predator. It is shown that the system exhibits rich and complex dynamics like bistability, local and global bifurcations such as transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation, cusp bifurcation, Bogdanov-Takens bifurcation, Bautin bifurcation, homoclinic bifurcation, saddle-node bifurcation of limit cycle, and heteroclinic bifurcation. Next, we separately explore the influences of Allee effect and density-dependent mortality on the dynamics of the same model. The results show that the strong Allee effect induces the occurrence of heteroclinic bifurcation and the reduction of the number of limit cycles, while the density-dependent mortality stabilizes the system. Since the analytical expressions of the interior equilibria are difficult to derive, the results are verified numerically.
Keyword ：
heteroclinic bifurcation heteroclinic bifurcation Allee effect Allee effect density-dependent mortality density-dependent mortality Bogdanov-Takens bifurcation Bogdanov-Takens bifurcation predator-prey model predator-prey model
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| GB/T 7714 | Shang, Zuchong , Qiao, Yuanhua . Bifurcation analysis in a predator-prey model with strong Allee effect on prey and density-dependent mortality of predator [J]. | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2023 , 47 (4) : 3021-3040 . |
| MLA | Shang, Zuchong et al. "Bifurcation analysis in a predator-prey model with strong Allee effect on prey and density-dependent mortality of predator" . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES 47 . 4 (2023) : 3021-3040 . |
| APA | Shang, Zuchong , Qiao, Yuanhua . Bifurcation analysis in a predator-prey model with strong Allee effect on prey and density-dependent mortality of predator . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2023 , 47 (4) , 3021-3040 . |
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