Analysis of stability and chaotic trajectories in nonlinear fluid wave interactions under forcing effects. [PDF]
Kozubek T +4 more
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Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]
Khalid M, Khalid NA, Ceesay B, Ahmed N.
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Dynamical solitonic wave formation to optical fiber communications with strong nonlinearity and inhomogeneity. [PDF]
Faridi WA, Ciurdariu L, Ibrahim AA.
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Analytical and numerical investigations, data-driven modeling via an analytical-machine learning approach, and chaotic analysis of a nonlinear fractional soliton neuron model. [PDF]
Amin MR, Akter R, Helal KM, Ullah MS.
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Noise effects on soliton structures of nonlinear Schrödinger equation with generalized Kudryashov's law non-linearity using modified extended mapping technique. [PDF]
Mshary N, Bossly R, Ahmed HM.
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Delaunay-Like Compact Equilibria in the Liquid Drop Model. [PDF]
Del Pino M, Musso M, Zuniga A.
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Jacobi elliptic functions are a realization of one of the simplest cases of elliptic functions, as described in Chapter 14: functions with two simple poles in a period parallelogram that are odd around each pole. These functions come up naturally in certain problems of mechanics, such as the motion of an ideal pendulum.
Richard Beals, Roderick S. C. Wong
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Expression of Elliptic Functions in Terms of Jacobi Functions
Russian Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topic of this chapter are the Jacobi elliptic functions sn, cn, dn, their first derivatives, the additional nine Jacobi elliptic functions, and the amplitude function am. The evaluation of the Jacobi elliptic functions is based on the Jacobi 𝜗 functions and in case of convergency issues additionally on the Gauss hypergeometric function.
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A structurally stable realization for Jacobi elliptic functions
2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), 2003By adding convergence terms, the dynamical equations for the generation of elliptic functions versus time are presented. This results in a structurally stable oscillator with limit cycles, which are Jacobi elliptic functions. From these equations a CMOS realization is developed with the nonlinearities obtained by using analog four-quadrant multipliers ...
Honghao Ji, R. W. Newcomb
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