Search Results - "Nonlinear dynamics"

SEIR modeling of the COVID-19 and its dynamics by He, Shaobo, Peng, Yuexi, Sun, Kehui

“…In this paper, a SEIR epidemic model for the COVID-19 is built according to some general control strategies, such as hospital, quarantine and external input…”
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Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation by Yin, Yu-Hang, Lü, Xing, Ma, Wen-Xiu

“…Under investigation in this paper is a (3+1)-dimensional nonlinear evolution equation, which was proposed and analyzed to study features and properties of…”
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Designs, analysis, and applications of nonlinear energy sinks by Ding, Hu, Chen, Li-Qun

“…Nonlinear energy sink (NES) is an appropriately designed nonlinear oscillator without positive linear stiffness. NES can suppress vibrations over a wide…”
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Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types by Lü, Xing, Chen, Si-Jia

“…Interaction solutions between lump and soliton are analytical exact solutions to nonlinear partial differential equations. The explicit expressions of the…”
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Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN by Fang, Yin, Wu, Gang-Zhou, Wang, Yue-Yue, Dai, Chao-Qing

“…We use the physics-informed neural network to solve a variety of femtosecond optical soliton solutions of the high-order nonlinear Schrödinger equation,…”
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A fast and efficient multiple images encryption based on single-channel encryption and chaotic system by Gao, Xinyu, Mou, Jun, Xiong, Li, Sha, Yuwen, Yan, Huizhen, Cao, Yinghong

“…A multiple-image encryption algorithm based on single-channel scrambling, diffusion and chaotic system is presented in this paper. The initial values of the…”
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Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations by Zhang, Run-Fa, Li, Ming-Chu

“…In this work, bilinear residual network method is proposed to solve nonlinear evolution equations. The activation function in final layer of deep neural…”
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Review on chaotic dynamics of memristive neuron and neural network by Lin, Hairong, Wang, Chunhua, Deng, Quanli, Xu, Cong, Deng, Zekun, Zhou, Chao

“…The study of dynamics on artificial neurons and neuronal networks is of great significance to understand brain functions and develop neuromorphic systems…”
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Color image encryption using orthogonal Latin squares and a new 2D chaotic system by Hua, Zhongyun, Zhu, Zhihua, Chen, Yongyong, Li, Yuanman

“…Recently, many image encryption schemes have been developed using Latin squares. When encrypting a color image, these algorithms treat the color image as three…”
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A nonlinear vibration isolator supported on a flexible plate: analysis and experiment by Hao, Rong-Biao, Lu, Ze-Qi, Ding, Hu, Chen, Li-Qun

“…To address low-frequency vibration isolation, an issue that engineers often face, this paper first studies the nonlinear energy transfer of a flexible plate,…”
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New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions by Ma, Yu-Lan, Wazwaz, Abdul-Majid, Li, Bang-Qing

“…In this paper, we develop a new extended Kadomtsev–Petviashvili (eKP) equation. We use the Painlevé analysis to confirm the integrability of the eKP equation…”
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Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances by Ye, Chao, Wang, Yan Qing

“…In the present study, we analyze the nonlinear forced vibration of thin-walled metal foam cylindrical shells reinforced with functionally graded graphene…”
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Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network by Zhang, Sen, Zheng, Jiahao, Wang, Xiaoping, Zeng, Zhigang, He, Shaobo

“…Memristors are widely considered to be promising candidates to mimic biological synapses. In this paper, by introducing a non-ideal flux-controlled memristor…”
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An image encryption scheme based on a new hybrid chaotic map and optimized substitution box by Farah, M. A. Ben, Farah, A., Farah, T.

“…This paper proposes a new hybrid chaotic map and a different way of using optimization technique to improve the performance of encryption algorithms. Compared…”
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A review for dynamics in neuron and neuronal network by Ma, Jun, Tang, Jun

“…The biological Hodgkin–Huxley model and its simplified versions have confirmed its effectiveness for recognizing and understanding the electrical activities in…”
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Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity by Bo, Wen-Bo, Wang, Ru-Ru, Fang, Yin, Wang, Yue-Yue, Dai, Chao-Qing

“…The first good prediction of the multipole soliton solution for the non-integrable equation, i.e., the saturable nonlinear Schrödinger equation under the…”
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Firing multistability in a locally active memristive neuron model by Lin, Hairong, Wang, Chunhua, Sun, Yichuang, Yao, Wei

“…The theoretical, numerical and experimental demonstrations of firing dynamics in isolated neuron are of great significance for the understanding of neural…”
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Clarify the physical process for fractional dynamical systems by Zhou, Ping, Ma, Jun, Tang, Jun

“…Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and…”
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Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation by Zhang, Run-Fa, Bilige, Sudao

“…A new method named bilinear neural network is introduced in this paper, and the corresponding tensor formula is proposed to obtain the exact analytical…”
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Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2+1)-dimensional generalized Burgers system with the variable coefficients in a fluid by Zhou, Tian-Yu, Tian, Bo, Chen, Yu- Qi, Shen, Yuan

“…Burgers-type equations are used to describe certain phenomena in gas dynamics, traffic flow, plasma astrophysics and ocean dynamics. In this paper, a (2 +…”
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