Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors by Bocheng Bao, Aihuang Hu, Han Bao, Quan Xu, Mo Chen, Huagan Wu

“…The proposed memristive HR neuron model has no equilibrium point but can show hidden dynamical behaviors of coexisting asymmetric attractors, which has not been reported in the previous references for the HR neuron model. …”
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Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor by Ningning Yang, Shucan Cheng, Chaojun Wu, Rong Jia, Chongxin Liu

“…With the change of the order and parameters, the circuit will exhibit abundant dynamic behaviors such as coexisting upper and lower limit cycle, single scroll chaotic attractors, and double scroll chaotic attractors under different initial conditions. …”
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Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability by Qiuzhen Wan, Zhaoteng Zhou, Wenkui Ji, Chunhua Wang, Fei Yu

“…Then, the hidden dynamic attractors such as periodic, quasiperiodic, chaotic, and hyperchaotic attractors are found under the variation of its system parameters. …”
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Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains by Xiaobin Yao, Zhang Zhang

“…We first prove the uniform estimates of solutions and then establish the existence and upper semicontinuity of random attractors.…”
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On the strongly damped wave equation and the heat equation with mixed boundary conditions by Aloisio F. Neves

“…We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.…”
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Marker and source-marker reprogramming of Most Permissive Boolean networks and ensembles with BoNesis by Paulevé, Loïc

“…They can destroy and create new attractors. In each case, we give an upper bound on their theoretical computational complexity, and give an implementation of the resolution using the BoNesis Python framework. …”
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A New Chaotic System with Only Nonhyperbolic Equilibrium Points: Dynamics and Its Engineering Application by Maryam Zolfaghari-Nejad, Mostafa Charmi, Hossein Hassanpoor

“…Multistability implies the coexistence of many periodic, limit cycle, and chaotic attractors under different initial values. Also, bifurcation analysis of the system shows interesting phenomena such as periodic window, period-doubling route to chaos, and inverse period-doubling bifurcations. …”
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Chaotic Behavior Analysis of a New Incommensurate Fractional-Order Hopfield Neural Network System by Nadjette Debbouche, Adel Ouannas, Iqbal M. Batiha, Giuseppe Grassi, Mohammed K. A. Kaabar, Hadi Jahanshahi, Ayman A. Aly, Awad M. Aljuaid

“…Besides, the resultant periodic and chaotic attractors can be scattered in several forms, including 1D line, 2D lattice, and 3D grid, and even in an arbitrary location of the phase space. …”
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Heterogeneous Fundamentalists in a Continuous Time Model with Delays by Luca Gori, Luca Guerrini, Mauro Sodini

“…We show that nonlinear dynamic phenomena, such as coexistence of attractors and local and global bifurcations, occur due to the existence of a time gap in the process of adjustment of market prices.…”
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On the Dynamics of Abstract Retarded Evolution Equations by Desheng Li, Jinying Wei, Jintao Wang

“…The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.…”
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Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane by M. DiPippo, M. R. S. Kulenović

“…We find the basins of attraction of all attractors of these systems.…”
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Chaotic Dynamics of a Mixed Rayleigh–Liénard Oscillator Driven by Parametric Periodic Damping and External Excitations by Yélomè Judicaël Fernando Kpomahou, Laurent Amoussou Hinvi, Joseph Adébiyi Adéchinan, Clément Hodévèwan Miwadinou

“…It is also found that the system exhibits monostable and bistable oscillations as well as the phenomenon of coexistence of attractors.…”
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Hyperchaotic Circuit Based on Memristor Feedback with Multistability and Symmetries by Xiaoyuan Wang, Xiaotao Min, Pengfei Zhou, Dongsheng Yu

“…Additionally, the symmetrical coexistent attractors are investigated. Further, the hyperchaotic system is implemented by analogue circuits. …”
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Recent Advances in Dimensionality Reduction Modeling and Multistability Reconstitution of Memristive Circuit by Yunzhen Zhang, Yuan Ping, Zhili Zhang, Guangzhe Zhao

“…., coexisting multiple attractors (or coexisting infinitely many attractors). …”
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Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties by Joaquin Alvarez-gallegos, Sishu Shankar Muni, Hector Gilardi-velázquez, Rıcardo Cuesta-garcía, J. L. Echenausía-monroy

“…The study of dynamical systems is based on the solution of differential equations that may exhibit various behaviors, such as fixed points, limit cycles, periodic, quasi-periodic attractors, chaotic behavior, and coexistence of attractors, to name a few. …”
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Nonlinear Dynamics and Chaos in Fractional-Order Hopfield Neural Networks with Delay by Xia Huang, Zhen Wang, Yuxia Li

“…The existence of chaotic attractors is verified by the bifurcation diagram and phase portraits as well.…”
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A dominant predator, a predator, and a prey by Peter A. Braza

“…There are different attractors for the high-interference and no-interference cases and these are discussed within an ecological context.…”
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A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos by Shiyun Shen, Meihua Ke, Ping Zhou

“…To verify the chaoticity, the maximum Lyapunov exponent (MAXLE) with respect to the fractional-order and chaotic attractors are obtained by numerical calculation for this system. …”
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Local and Global Dynamics in a Discrete Time Growth Model with Nonconcave Production Function by Serena Brianzoni, Cristiana Mammana, Elisabetta Michetti

“…We prove that complex features exhibited are related both to the structure of the coexixting attractors and to their basins. We also show that complexity emerges if the elasticity of substitution between production factors is low enough and shareholders save more than workers, confirming the results obtained while considering concave production functions.…”
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Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations by Yonghong Duan, Xiaojuan Chai

“…For the asymptotic behavior of solutions, we prove the existence of global attractors in proper spaces. The results generalize some results derived in our previous work Ann. …”
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