Parameters Approach Applied on Nonlinear Oscillators by Najeeb Alam Khan, Fatima Riaz, Nadeem Alam Khan

“…We applied an approach to obtain the natural frequency of the generalized Duffing oscillator u¨ + u + α3u3 + α5u5 + α7u7 + ⋯ + αnun=0 and a nonlinear oscillator with a restoring force which is the function of a noninteger power exponent of deflection u¨+αu|u|n−1=0. …”
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Mutation and Chaos in Nonlinear Models of Heredity by Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi

“…We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. …”
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On the Nonlinear Theory of Micropolar Bodies with Voids by Marin Marin

“…This paper is concerned with the nonlinear theory of micropolar, porous, and elastic solids. …”
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Bounded solutions of nonlinear Cauchy problems by Josef Kreulich

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Periodic solutions of nonlinear differential equations by Xiaojing Yang

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Nonlinear differential equations and algebraic systems by Lloyd K. Williams

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THE PROBLEM OF OPENNESS OF THE SYSTEM OF SOCIAL MORALITY by V. V. Nadurak

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Dynamic Performance of Concrete Considering Initial Stresses and Creep by S. Yu. Savin, M. Z. Sharipov

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Six-wave interaction in multimode waveguides with Kerr nonlinearity with allowance for the Gaussian structure of pump waves by V.V. Ivakhnik, D.R. Kapizov, V.I. Nikonov

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Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity by K. S. Al-Ghafri

“…In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity. …”
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Bifurcations and Exact Solutions of the Coupled Nonlinear Generalized Zakharov Equations with Anti-Cubic Nonlinearity: Dynamical System Approach by Jie Song, Feng Li, Mingji Zhang

“…We consider the exact traveling wave solutions for the coupled nonlinear generalized Zakharov equations. By employing the method of dynamical systems, we are able to obtain bifurcations of the phase portraits of the corresponding planar dynamical system under various parameter conditions. …”
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Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations by A. V. Krysko, Jan Awrejcewicz, Irina V. Papkova, Olga Szymanowska, V. A. Krysko

“…Solutions to linear and nonlinear differential equations are found using the principal component analysis (PCA).…”
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Dynamic analysis and comparison of the performance of linear and nonlinear controllers applied to a nonlinear non-interactive and interactive process by José M. Campos-Salazar, Pablo Lecaros, Rodrigo Sandoval-García

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New super and shock like solitary structures for KdV equation with higher-order nonlinearity by H.S. Alayachi, Abdulghani Alharbi, E.K. El-Shewy, Mahmoud A.E. Abdelrahman

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Investigation of Structural Nonlinearity Effects on the Aeroelastic and Wake Characteristics of a 15 MW Wind Turbine by Zhenju Chuang, Lulin Xia, Yan Qu, Wenhua Li, Jiawen Li

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Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity by Huxiao Luo, Shengjun Li, Wenfeng He

“…We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u,  x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e. x∈RN. f has the subcritical growth but higher than Γ(x)uq-2u; however, the nonlinearity f(x,u)-Γ(x)uq-2u may change sign. If V is coercive, we investigate the existence of ground state solutions for p-Laplacian equation.…”
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Hysteresis Nonlinearity Identification Using New Preisach Model-Based Artificial Neural Network Approach by Mohammad Reza Zakerzadeh, Mohsen Firouzi, Hassan Sayyaadi, Saeed Bagheri Shouraki

“…It is shown that the proposed ANN-based Preisach model can identify hysteresis nonlinearity more accurately than the classical one. …”
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The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity by Jiangyan Yao, Wei Han

“…In this paper, we firstly discuss the existence of the least energy sign-changing solutions for a class of p-Kirchhoff-type problems with a (2p-1)-linear growth nonlinearity. The quantitative deformation lemma and Non-Nehari manifold method are used in the paper to prove the main results. …”
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Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity by Zhongsheng Chen, Bin Guo, Congcong Cheng, Hongwu Shi, Yongmin Yang

“…Nonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. …”
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Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model by Yacouba Simporé, Oumar Traoré

“…We first prove a null controllability result for a nonlinear system derived from a nonlinear population dynamics model. …”
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