Jaume Giné

Int. J. Bifurc. Chaos, April, 2024

On the geometric and analytical properties of the anharmonic oscillator.

[BibT_eX]

[DOI]

Dmitry I. Sinelshchikov

Commun. Nonlinear Sci. Numer. Simul., April, 2024

Center conditions to find certain degenerate centers with characteristic directions.

[BibT_eX]

[DOI]

Antonio Algaba

Cristóbal García

Math. Comput. Simul., January, 2024

2023

The Horizons in Circular Accelerated Motions and Its Consequences.

[BibT_eX]

[DOI]

Symmetry, December, 2023

Blow-Up Method for Linearizability of Resonant Differential Systems.

[BibT_eX]

[DOI]

Brigita Fercec

Maja Zulj

Int. J. Bifurc. Chaos, June, 2023

2022

On the Dynamics of Higgins-Selkov, Selkov and Brusellator Oscillators.

[BibT_eX]

[DOI]

Symmetry, 2022

Center problem with characteristic directions and inverse integrating factors.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2022

2020

Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2020

2019

The Liouvillian Integrability of Several Oscillators.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2019

Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor.

[BibT_eX]

[DOI]

Antonio Algaba

Cristóbal García

Commun. Nonlinear Sci. Numer. Simul., 2019

Blow-up method to compute necessary conditions of integrability for planar differential systems.

[BibT_eX]

[DOI]

Brigita Fercec

Appl. Math. Comput., 2019

2017

Nondegenerate centers for Abel polynomial differential equations of second kind.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

Liénard Equation and Its Generalizations.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2017

On the integrability of Liénard systems with a strong saddle.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2017

2016

Center conditions for nilpotent cubic systems using the Cherkas method.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2016

Center problem in the center manifold for quadratic differential systems in R<sup>3</sup>.

[BibT_eX]

[DOI]

J. Symb. Comput., 2016

Integrability of Lotka-Volterra Planar Complex Cubic Systems.

[BibT_eX]

[DOI]

Masa Dukaric

Int. J. Bifurc. Chaos, 2016

2015

Centers and isochronous centers for generalized quintic systems.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

2014

Centers for a class of generalized quintic polynomial differential systems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

The solution of the 1: -3 resonant center problem in the quadratic case.

[BibT_eX]

[DOI]

Masa Dukaric

Brigita Fercec

Appl. Math. Comput., 2014

2013

The stable limit cycles: A synchronization phenomenon.

[BibT_eX]

[DOI]

J. Frankl. Inst., 2013

A note on Liouvillian first integrals and invariant algebraic curves.

[BibT_eX]

[DOI]

Maite Grau

Appl. Math. Lett., 2013

The center problem for a 2: -3 resonant cubic Lotka-Volterra system.

[BibT_eX]

[DOI]

Diana Dolicanin

Regilene D. S. Oliveira

Valery G. Romanovski

Appl. Math. Comput., 2013

2012

On the Center conditions for analytic Monodromic degenerate Singularities.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

Reduction of integrable planar polynomial differential systems.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2012

Higher order limit cycle bifurcations from non-degenerate centers.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

Limit cycle bifurcations from a non-degenerate center.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

The 1: -q resonant center problem for certain cubic Lotka-Volterra systems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

The Resonant Center Problem for a 2: -3 Resonant Cubic Lotka-Volterra System.

[BibT_eX]

[DOI]

Natalie L. Shcheglova

Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

2011

On the degenerate Center Problem.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2011

Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2011

2010

Weierstrass integrability of differential equations.

[BibT_eX]

[DOI]

Maite Grau

Appl. Math. Lett., 2010

2009

The Nondegenerate Center Problem in Certain Families of Planar Differential Systems.

[BibT_eX]

[DOI]

Paz de Prada

Int. J. Bifurc. Chaos, 2009

2007

On the Centers of Planar Analytic Differential Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2007

On the number of algebraically independent Poincaré-Liapunov constants.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2007

2006

A necessary condition in the monodromy problem for analytic differential equations on the plane.

[BibT_eX]

[DOI]

Maite Grau

J. Symb. Comput., 2006

Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2006

2004

Analytic integrability and characterization of centers for generalized nilpotent singular points.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2004

2003

Isochronous Foci for Analytic Differential Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2003

Generalized cofactors and nonlinear superposition principles.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2003

2002

Analytic integrability of a class of nilpotent cubic systems.

[BibT_eX]

[DOI]

Javier Chavarriga

J. Sorolla

Math. Comput. Simul., 2002

Sufficient Conditions for a Center at a Completely degenerate Critical Point.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2002

2001

Analytic Integrability of Nilpotent cubic Systems with degenerate infinity.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2001

On Integrability of differential equations Defined by the Sum of Homogeneous Vector Fields with degenerate infinity.

[BibT_eX]

[DOI]

Javier Chavarriga

Int. J. Bifurc. Chaos, 2001

Isochronicity into a family of time-reversible cubic vector fields.

[BibT_eX]

[DOI]

Javier Chavarriga