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Existence of Limit Cycles for a Class of Quartic Polynomial Differential System Depending on Parameters [PDF]
Journal of Mathematics, 2021 We studied the existence of limit cycles for the quartic polynomial differential systems depending on parameters. To prove that, first, we used the formal series method based on Poincare’ ideas to determine the center-focus. Then, by the Hopf bifurcation
Sarah Abdullah Qadha +2 more
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Results in Physics, 2023 The main objective of this paper is to study the chaotic behavior and embedded soliton of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise.
Zhao Li, Xue Zhang, Fang Miao
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General solutions and applications of the coupled Drinfel’d–Sokolov–Wilson equation
Examples and Counterexamples, 2023 We report a new batch of wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation which represents a coupled system of nonlinear partial differential equations (NLPDEs).
Shreya Mitra +2 more
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A new order m – 1 rational integrator with an inhomogeneuous constant
Scientific African, 2023 In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations.
Fidelis Ebhohomen +1 more
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New optical soliton solutions to the (n+1) dimensional time fractional order Sinh-Gordon equation
Results in Physics, 2023 This article studies and constructs new optical soliton solutions for the (n+1)-dimensional time fractional order Sinh-Gordon equation. First, we change the differential equation into Ordinary differential equation which is connected with a quartic ...
Da Shi, Zhao Li
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Results in Physics, 2023 In this paper, the cubic–quartic complex Ginzburg–Landau (CGL) equation is investigated by using the trial function method. The traveling wave hypothesis is applied to convert the CGL equation to an ordinary differential equation (ODE), which is ...
Chen Peng, Zhao Li
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IEEE Access, 2020 This paper concentrates on the design of intelligent adaptive tracking controller for stochastic switched nonlinear pure-feedback systems with input saturation and non-lower triangular structure.
Ji-Dong Liu +4 more
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On two-dimensional integrable models with a cubic or quartic integral of motion [PDF]
, 2013 Integrable two-dimensional models which possess an integral of motion cubic or quartic in velocities are governed by a single prepotential, which obeys a nonlinear partial differential equation.
Galajinsky, Anton, Lechtenfeld, Olaf
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Photon radiation in $e^+e^-\to$ hadrons at low energies with CARLOMAT 3.1 [PDF]
, 2017 We present a sample of results for the cross sections of several processes of low energetic $e^+e^-$ annihilation into final states containing pions accompanied by one or two photons, or a light lepton pair.
Jegerlehner, Fred, Kolodziej, Karol
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A geometric approach to Catlin's boundary systems [PDF]
, 2018 For a point $p$ in a smooth real hypersurface $M\subset\C^n$, where the Levi form has the nontrivial kernel $K^{10}_p$, we introduce an invariant cubic tensor $\tau^3_p \colon \C T_p \times K^{10}_p \times \overline{K^{10}_p} \to \C\otimes (T_p/H_p ...
Zaitsev, Dmitri
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