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Limit cycles of a generalised Mathieu differential system

Applied mathematics and nonlinear sciences, 2024-01, Vol.9 (1)

2024

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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory

Nonautonomous Dynamical Systems, 2023-12, Vol.10 (1), p.103-111

2023

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Revisiting the Kepler problem with linear drag using the blowup method and normal form theory

Nonlinearity, 2024-03, Vol.37 (3), p.35014

Kristiansen, K Uldall

2024

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Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations

Zeitschrift für angewandte Mathematik und Physik, 2015-02, Vol.66 (1), p.51-66

2015

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Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics

Mathematische annalen, 2024-05, Vol.389 (1), p.543-590

2024

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New families of global cubic centers

São Paulo Journal of Mathematical Sciences, 2024-03

2024

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Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves

Demonstratio mathematica, 2023-05, Vol.56 (1), p.80-95

2023

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On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations

Journal of applied analysis, 2024-06, Vol.30 (1), p.35-50

2024

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An Averaging Principle for Stochastic Differential Delay Equations Driven by Time-Changed Lévy Noise

Acta mathematica scientia, 2022-03, Vol.42 (2), p.540-550

2022

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Maximum number of limit cycles for generalized Kukles differential system

Journal of applied analysis, 2023-06, Vol.29 (1), p.59-75

2023

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Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior

Journal of mathematical biology, 2024-06, Vol.88 (6), p.70-70, Article 70

2024

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Averaging principle for two-time-scale stochastic differential equations with correlated noise

Open mathematics (Warsaw, Poland), 2022-12, Vol.20 (1), p.1656-1664

2022

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A Khasminskii Type Averaging Principle for Stochastic Reaction-Diffusion Equations

The Annals of applied probability, 2009-06, Vol.19 (3), p.899-948

Cerrai, Sandra

2009

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Limit cycles of planar picewise linear Hamiltonian systems without equilibrium points separated by two circles

Rendiconti del Circolo matematico di Palermo, 2023-03, Vol.72 (2), p.1103-1114

2023

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Limit Cycles Bifurcating of Discontinuous and Continuous Piecewise Differential Systems of Isochronous Cubic Centers with Three Zones

Qualitative theory of dynamical systems, 2024-09, Vol.23 (4), Article 173

2024

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Word series high-order averaging of highly oscillatory differential equations with delay

Applied mathematics and nonlinear sciences, 2019-12, Vol.4 (2), p.445-454

2019

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Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

Moroccan journal of pure and applied analysis, 2021-07, Vol.7 (2), p.248-276

2021

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Limit cycles of Liénard polynomial systems type by averaging method

Moroccan journal of pure and applied analysis, 2020-06, Vol.6 (1), p.1-15

2020

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On the limit cycles for a class of eighth-order differential equations

Moroccan journal of pure and applied analysis, 2020-06, Vol.6 (1), p.53-61

2020

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Averaging Theory for Fractional Differential Equations

Fractional calculus & applied analysis, 2021-04, Vol.24 (2), p.621-640

2021

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Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems

Science China. Mathematics, 2019-09, Vol.62 (9), p.1687-1704

Zhang, Xiang

2019

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Improving the averaging theory for computing periodic solutions of the differential equations

Zeitschrift für angewandte Mathematik und Physik, 2015-08, Vol.66 (4), p.1401-1412

2015

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Periodic solutions of nonlinear differential systems by the method of averaging

Applications of Mathematics, 2020-08, Vol.65 (4), p.511-542

2020

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Vibrational resonance: a study with high-order word-series averaging

Applied mathematics and nonlinear sciences, 2016-04, Vol.1 (1), p.239-246

2016

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Second-order differential equations with random perturbations and small parameters

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2017-08, Vol.147 (4), p.763-779

2017

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Limit cycles of a generalised Mathieu differential system

Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory

Revisiting the Kepler problem with linear drag using the blowup method and normal form theory

Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations

Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics

New families of global cubic centers

Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves

On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations

An Averaging Principle for Stochastic Differential Delay Equations Driven by Time-Changed Lévy Noise

Maximum number of limit cycles for generalized Kukles differential system

Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior

Averaging principle for two-time-scale stochastic differential equations with correlated noise

A Khasminskii Type Averaging Principle for Stochastic Reaction-Diffusion Equations

Limit cycles of planar picewise linear Hamiltonian systems without equilibrium points separated by two circles

Limit Cycles Bifurcating of Discontinuous and Continuous Piecewise Differential Systems of Isochronous Cubic Centers with Three Zones

Word series high-order averaging of highly oscillatory differential equations with delay

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

Limit cycles of Liénard polynomial systems type by averaging method

On the limit cycles for a class of eighth-order differential equations

Averaging Theory for Fractional Differential Equations

Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems

Improving the averaging theory for computing periodic solutions of the differential equations

Periodic solutions of nonlinear differential systems by the method of averaging

Vibrational resonance: a study with high-order word-series averaging

Second-order differential equations with random perturbations and small parameters

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