Prediction and observation of topological modes in fractal nonlinear optics by Boris A. Malomed

“…The self-focusing nonlinearity of the waveguide's material transforms the corner modes into corner solitons, almost all of which are stable. …”
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Dynamic Research of a Nonlinear Stochastic Vibratory Machine by Yimin Zhang, Qiaoling Liu, Bangchun Wen

“…The dynamic characteristics of nonlinear stochastic vibratory machine are analyzed.…”
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Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach by Ricardo Aguilar-López, Rafael Martínez-Guerra, Juan L. Mata-Machuca

“…The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master and the slaves’ oscillators. …”
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Stability of Nonlinear Neutral Stochastic Functional Differential Equations by Minggao Xue, Shaobo Zhou, Shigeng Hu

“…Therefore, the existing results cannot be applied to many important nonlinear NSFDEs. The main aim of this paper is to remove the linear growth condition and establish a Khasminskii-type test for nonlinear NSFDEs. …”
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On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation by M. Eshaghi Gordji, H. Baghani, O. Baghani

“…The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). …”
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Infinite Existence Solutions of Fractional Systems with Lipschitz Nonlinearity by Rafik Guefaifia, Salah Mahmoud Boulaaras, Bahri Cherif, Taha Radwan

“…The paper deals with the existence of infinitely many solutions of a class of perturbed nonlinear fractional p-Laplacian differential systems using one control parameter combined with the variational method.…”
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On the novel nonlinear propagating waves in stochastic dispersive mode by H.G. Abdelwahed, A.F. Alsarhan, E.K. El-Shewy, Mahmoud A.E. Abdelrahman

Subjects: “…Stochastic nonlinear Schrödinger equation…”
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Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization by Victor Kamdoum Tamba, Karthikeyan Rajagopal, Viet-Thanh Pham, Duy Vo Hoang

“…A system with an absolute nonlinearity is studied in this work. It is noted that the system is chaotic and has an adjustable amplitude variable, which is suitable for practical uses. …”
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A theory of nonlinear wave loading on offshore structures by Lokenath Debnath, Matiur Rahman

Subjects: “…nonlinear waves…”
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Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol by Mauricio Bravo Vera

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Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems by Jian Zhou, Yunshun Wu

“…In this paper, we consider the following nonlinear Schrödinger-Poisson systems. Under suitable conditions on V, K, g, and h, when 1<s<6, we obtain two nontrivial solutions for the problem and when gx,· is odd and 6<s<∞, we obtain infinitely many solutions for the problem.…”
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Study on the Nonlinear Damage Creep Model of the Weak Interlayer by Erjian Wei, Bin Hu, Kunyun Tian, Peishan Cen, Zhen Zhang, Zeqi Wang, Shuxiang Chang

“…It is of great significance to study the nonlinear creep model of weak interlayer for long-term stability of the slope. …”
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Nonlinear Optical Signal Processing for Tbit/s Ethernet Applications by L. K. Oxenløwe, M. Galili, H. C. Hansen Mulvad, H. Hu, J. L. Areal, E. Palushani, H. Ji, A. T. Clausen, P. Jeppesen

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Nonlinear Magnetoconvection in a Sparsely Packed Porous Medium by A. Benerji Babu, Ragoju Ravi, S. G. Tagare

“…Linear and weakly nonlinear properties of magnetoconvection in a sparsely packed porous medium are investigated. …”
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Nonlinear Performance Characteristics of Flux-Switching PM Motors by E. Ilhan, M. F. J. Kremers, T. E. Motoasca, J. J. H. Paulides, E. A. Lomonova

“…Nonlinear performance characteristics of 3-phase flux-switching permanent magnet motors (FSPM) are overviewed. …”
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Modifications of the continuation method for the solution of systems of nonlinear equations by G. R. Lindfield, D. C. Simpson

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Bounds for Certain Nonlinear Dynamic Inequalities on Time Scales by Wei Nian Li, Maoan Han

“…We investigate some new nonlinear dynamic inequalities on time scales. Our results unify and extend some integral inequalities and their corresponding discrete analogues. …”
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Two Identification Methods for a Nonlinear Membership Function by Yuejiang Ji, Lixin Lv

“…This paper proposes two parameter identification methods for a nonlinear membership function. An equation converted method is introduced to turn the nonlinear function into a concise model. …”
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Positive Solutions for Coupled Nonlinear Fractional Differential Equations by Wenning Liu, Xingjie Yan, Wei Qi

“…We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. …”
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RESEARCH ON NONLINEAR VIBRATION CONTROL OF MISSILE STORAGE AND TRANSPORTATION by KANG BingBing, LI HaiJun, DENG Li, ZHU HengHao, ZHAO QingHao

“…In order to reduce the vibration and possible damage in the shipping process,introducing negative stiffness in the vibration isolator,broadening the vibration isolation frequency,reduce the starting vibration isolation frequency,at the same time,proposed a nonlinear speed feedback control method of active control is used to suppress resonance. the research results show that the vibration isolator has good low frequency vibration suppression,high frequency of the vibration isolation effect,it can effectively reduce the vibration harm of missile;Linear velocity feedback combined with cubic velocity feedback can effectively suppress resonance and reduce the effect of non-resonance isolation.…”
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