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Identification of quasiperiodic processes in the vicinity of the resonance

Fischer, Cyril, Náprstek, Jiří (2023)

Programs and Algorithms of Numerical Mathematics

In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method and the multiple...

Implicit Differential Equation In Locally Convex Spaces

O. Hadžić (1975)

Publications de l'Institut Mathématique

Impulsive dynamic equations on a time scale.

Kaufmann, Eric R., Kosmatov, Nickolai, Raffoul, Youssef N. (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Inclusion Statements for Operator Equations by a Continuity Principle.

Johann Schröder (1977)

Manuscripta mathematica

Integral solutions for non-linear evolution equations on Banach space

Nicolae Pavel (1976)

Studia Mathematica

Iterative Solutions of Nonlinear Initial Value Differential Equations in Chebyshev Series Using Lie Series.

D.M. Greig, M.A. Abd-el-Naby (1980)

Numerische Mathematik

IVPs for singular multi-term fractional differential equations with multiple base points and applications

Yuji Liu, Pinghua Yang (2014)

Applicationes Mathematicae

The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional...