Jaume Llibre

,

Int. J. Bifurc. Chaos, December, 2023

Limit Cycles of Some Families of Discontinuous Piecewise Differential Systems Separated by a Straight Line.

[BibT_eX]

[DOI]

Louiza Baymout

,

,

Int. J. Bifurc. Chaos, November, 2023

On the periodic orbits of the continuous-discontinuous piecewise differential systems with three pieces separated by two parallel straight lines.

[BibT_eX]

[DOI]

,

Commun. Nonlinear Sci. Numer. Simul., October, 2023

Global Attractor in the Positive Quadrant of the Lotka-Volterra System in ℝ2.

[BibT_eX]

[DOI]

Y. Paulina Mancilla-Martínez

,

Int. J. Bifurc. Chaos, September, 2023

Nilpotent Bicenters in Continuous Piecewise ℤ2-Equivariant Cubic Polynomial Hamiltonian Vector Fields: Cusp-Cusp Type.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, September, 2023

Symmetric Phase Portraits of Homogeneous Polynomial Hamiltonian Systems of Degree 1, 2, 3, 4, and 5 with Finitely Many Equilibria.

[BibT_eX]

[DOI]

,

Symmetry, August, 2023

Phase Portraits of Families VII and VIII of the Quadratic Systems.

[BibT_eX]

[DOI]

Laurent Cairó

,

Axioms, August, 2023

Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems.

[BibT_eX]

[DOI]

,

Lihong Huang

,

Int. J. Bifurc. Chaos, May, 2023

Limit Cycles of Polynomially Integrable Piecewise Differential Systems.

[BibT_eX]

[DOI]

Belén García

,

,

Jesús S. Pérez del Río

,

Set Pérez-González

Axioms, April, 2023

Global Phase Portraits of the Quadratic Systems Having a Singular and Irreducible Invariant Curve of Degree 3.

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[DOI]

,

Chara Pantazi

Int. J. Bifurc. Chaos, January, 2023

On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials.

[BibT_eX]

[DOI]

Tiago Carvalho

,

Luiz Fernando Gonçalves

,

Int. J. Bifurc. Chaos, December, 2022

Limit Cycles of Planar Discontinuous Piecewise Linear Hamiltonian Systems Without Equilibria Separated by Nonregular Curves.

[BibT_eX]

[DOI]

Johana Jimenez

,

,

Int. J. Bifurc. Chaos, 2022

Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory.

[BibT_eX]

[DOI]

Zhifei Guo

,

Int. J. Bifurc. Chaos, 2022

Rocard's 1941 Chaotic Relaxation Econometric Oscillator.

[BibT_eX]

[DOI]

,

,

,

Int. J. Bifurc. Chaos, 2022

Limit Cycles of Piecewise-Continuous Differential Systems Formed by Linear and Quadratic Isochronous Centers II.

[BibT_eX]

[DOI]

Bilal Ghermoul

,

,

Int. J. Bifurc. Chaos, 2022

Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I.

[BibT_eX]

[DOI]

Bilal Ghermoul

,

,

Int. J. Bifurc. Chaos, 2022

Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity.

[BibT_eX]

[DOI]

,

,

Int. J. Bifurc. Chaos, 2022

Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2022

Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity.

[BibT_eX]

[DOI]

,

,

Commun. Nonlinear Sci. Numer. Simul., 2022

On the equilateral pentagonal central configurations.

[BibT_eX]

[DOI]

Martha Alvarez-Ramírez

,

Armengol Gasull

,

Commun. Nonlinear Sci. Numer. Simul., 2022

Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles.

[BibT_eX]

[DOI]

,

Symmetry, 2021

Integrability and Limit Cycles via First Integrals.

[BibT_eX]

[DOI]

Symmetry, 2021

Analytic integrability of quasi-homogeneous systems via the Yoshida method.

[BibT_eX]

[DOI]

Belén García

,

,

Antón Lombardero

,

Jesús S. Pérez del Río

J. Symb. Comput., 2021

The Limit Cycles of the Higgins-Selkov Systems.

[BibT_eX]

[DOI]

Hebai Chen

,

,

Yilei Tang

J. Nonlinear Sci., 2021

Polynomial Vector Fields on the Clifford Torus.

[BibT_eX]

[DOI]

,

Adrian C. Murza

Int. J. Bifurc. Chaos, 2021

Bifurcations of the Riccati Quadratic Polynomial Differential Systems.

[BibT_eX]

[DOI]

,

,

Int. J. Bifurc. Chaos, 2021

The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line.

[BibT_eX]

[DOI]

Marina Esteban

,

,

Int. J. Bifurc. Chaos, 2021

Planar Kolmogorov Systems Coming from Spatial Lotka-Volterra Systems.

[BibT_eX]

[DOI]

,

,

Int. J. Bifurc. Chaos, 2021

Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers.

[BibT_eX]

[DOI]

Tiago Carvalho

,

Luiz Fernando Gonçalves

,

Int. J. Bifurc. Chaos, 2021

The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3.

[BibT_eX]

[DOI]

,

,

,

Commun. Nonlinear Sci. Numer. Simul., 2021

Entropy and periods for continuous graph maps.

[BibT_eX]

[DOI]

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Víctor F. Sirvent

Comput. Appl. Math., 2021

Global qualitative dynamics of the Brusselator system.

[BibT_eX]

[DOI]

,

Math. Comput. Simul., 2020

The centers and their cyclicity for a class of polynomial differential systems of degree 7.

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., 2020

Crossing Periodic Orbits via First Integrals.

[BibT_eX]

[DOI]

,

Durval José Tonon

,

Mariana Queiroz Velter

Int. J. Bifurc. Chaos, 2020

Limit Cycles Bifurcating from a Family of Reversible Quadratic Centers via Averaging Theory.

[BibT_eX]

[DOI]

,

Arefeh Nabavi

,

Marzieh Mousavi

Int. J. Bifurc. Chaos, 2020

Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium.

[BibT_eX]

[DOI]

,

Alisson de Carvalho Reinol

,

Int. J. Bifurc. Chaos, 2020

Zero-Hopf Periodic Orbits for a Rössler Differential System.

[BibT_eX]

[DOI]

,

Ammar Makhlouf

Int. J. Bifurc. Chaos, 2020

Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities.

[BibT_eX]

[DOI]

,

,

Jaime R. de Moraes

Int. J. Bifurc. Chaos, 2020

Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones.

[BibT_eX]

[DOI]

Shimin Li

,

Int. J. Bifurc. Chaos, 2020

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

[BibT_eX]

[DOI]

,

Johanna Denise García-Saldaña

Int. J. Bifurc. Chaos, 2020

Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities.

[BibT_eX]

[DOI]

,

,

Alexander Fernandes da Fonseca

Int. J. Bifurc. Chaos, 2020

Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points.

[BibT_eX]

[DOI]

,

,

Luis Fernando Mello

Int. J. Bifurc. Chaos, 2020

Limit cycles bifurcating of Kolmogorov systems in R2 and in R3.

[BibT_eX]

[DOI]

,

Y. Paulina Martínez

,

Commun. Nonlinear Sci. Numer. Simul., 2020

Differential equations with a given set of solutions.

[BibT_eX]

[DOI]

,

Rafael Ramírez

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Natalia Sadovskaia

Appl. Math. Comput., 2020

An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems.

[BibT_eX]

[DOI]

Belén García

,

,

Antón Lombardero

,

Jesús S. Pérez del Río

J. Symb. Comput., 2019

Two Limit Cycles in Liénard Piecewise Linear Differential Systems.

[BibT_eX]

[DOI]

,

Enrique Ponce

,

J. Nonlinear Sci., 2019

Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve.

[BibT_eX]

[DOI]

,

Xiang Zhang

Int. J. Bifurc. Chaos, 2019

Equilic quadrilateral central configurations.

[BibT_eX]

[DOI]

Martha Alvarez-Ramírez

,

Commun. Nonlinear Sci. Numer. Simul., 2019

Topological entropy of continuous self-maps on a graph.

[BibT_eX]

[DOI]

,

,

Wei Gao

Comput. Appl. Math., 2019

On the periods of a continuous self-map on a graph.

[BibT_eX]

[DOI]

,

Comput. Appl. Math., 2019

On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities.

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2019

Limit cycles of a second-order differential equation.

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2019

Bicentric quadrilateral central configurations.

[BibT_eX]

[DOI]

,

Pengfei Yuan

Appl. Math. Comput., 2019

Trapezoid central configurations.

[BibT_eX]

[DOI]

,

Josep M. Cors

,

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Ernesto Pérez-Chavela

Appl. Math. Comput., 2019

Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers.

[BibT_eX]

[DOI]

Fabio Scalco Dias

,

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Math. Comput. Simul., 2018

Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria.

[BibT_eX]

[DOI]

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Bruno Rodrigues de Freitas

Math. Comput. Simul., 2018

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3.

[BibT_eX]

[DOI]

,

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Joao C. Medrado

J. Comput. Appl. Math., 2018

Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers.

[BibT_eX]

[DOI]

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Yun Tian

Int. J. Bifurc. Chaos, 2018

On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation.

[BibT_eX]

[DOI]

Maoan Han

,

,

Junmin Yang

Int. J. Bifurc. Chaos, 2018

Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2018

Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model.

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[DOI]

,

,

Int. J. Bifurc. Chaos, 2018

Periodic Orbits Bifurcating from a Nonisolated Zero-Hopf Equilibrium of Three-Dimensional Differential Systems Revisited.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2018

Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2018

Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory.

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., 2017

Uniform isochronous cubic and quartic centers: Revisited.

[BibT_eX]

[DOI]

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Jackson Itikawa

,

J. Comput. Appl. Math., 2017

Degenerate Fold-Hopf Bifurcations in a Rössler-Type System.

[BibT_eX]

[DOI]

Gheorghe Tigan

,

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Loredana Ciurdariu

Int. J. Bifurc. Chaos, 2017

Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems.

[BibT_eX]

[DOI]

Isaac A. García

,

Int. J. Bifurc. Chaos, 2017

On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves.

[BibT_eX]

[DOI]

Tiago de Carvalho

,

Int. J. Bifurc. Chaos, 2017

Periodic Orbits of the Planar Anisotropic Kepler Problem.

[BibT_eX]

[DOI]

Elbaz I. Abouelmagd

,

,

Int. J. Bifurc. Chaos, 2017

Limit cycles for a variant of a generalized Riccati equation.

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2017

On the integrability of Liénard systems with a strong saddle.

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2017

Limit cycles bifurcating from a degenerate center.

[BibT_eX]

[DOI]

,

Chara Pantazi

Math. Comput. Simul., 2016

Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator.

[BibT_eX]

[DOI]

Rodrigo D. Euzébio

,

Int. J. Comput. Math., 2016

Heteroclinic, Homoclinic and Closed Orbits in the Chen System.

[BibT_eX]

[DOI]

Gheorghe Tigan

,

Int. J. Bifurc. Chaos, 2016

Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles.

[BibT_eX]

[DOI]

,

Maurício Fronza da Silva

Int. J. Bifurc. Chaos, 2016

When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space.

[BibT_eX]

[DOI]

Fabio Scalco Dias

,

,

Luis Fernando Mello

Int. J. Bifurc. Chaos, 2016

Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2.

[BibT_eX]

[DOI]

,

,

Jaime R. de Moraes

Appl. Math. Comput., 2016

Bifurcation of Relative Equilibria of the (1+3)-Body Problem.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Math. Anal., 2015

The Completely Integrable Differential Systems are Essentially Linear Differential Systems.

[BibT_eX]

[DOI]

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Xiang Zhang

J. Nonlinear Sci., 2015

Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry.

[BibT_eX]

[DOI]

,

Enrique Ponce

,

J. Nonlinear Sci., 2015

Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers.

[BibT_eX]

[DOI]

,

Jackson Itikawa

J. Comput. Appl. Math., 2015

Phase portraits of uniform isochronous quartic centers.

[BibT_eX]

[DOI]

Jackson Itikawa

,

J. Comput. Appl. Math., 2015

Centers and isochronous centers for generalized quintic systems.

[BibT_eX]

[DOI]

,

,

J. Comput. Appl. Math., 2015

Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case.

[BibT_eX]

[DOI]

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Mario Spinetti-Rivera

,

Eliézer Colina Morles

Int. J. Control, 2015

Periodic Solutions of a Periodic FitzHugh-Nagumo System.

[BibT_eX]

[DOI]

,

Claudio Vidal

Int. J. Bifurc. Chaos, 2015

On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems.

[BibT_eX]

[DOI]

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Ana Rodrigues

Int. J. Bifurc. Chaos, 2015

Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones.

[BibT_eX]

[DOI]

,

Douglas D. Novaes

,

Int. J. Bifurc. Chaos, 2015

Normal Forms for Polynomial Differential Systems in ℝ3 Having an Invariant Quadric and a Darboux Invariant.

[BibT_eX]

[DOI]

,

Alisson de Carvalho Reinol

,

Int. J. Bifurc. Chaos, 2015

Hopf bifurcation of a generalized Moon-Rand system.

[BibT_eX]

[DOI]

,

Commun. Nonlinear Sci. Numer. Simul., 2015

On the integrability of a three-dimensional cored galactic Hamiltonian.

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2015

A non-autonomous kind of Duffing equation.

[BibT_eX]

[DOI]

,

Ana Rodrigues

Appl. Math. Comput., 2015

Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2.

[BibT_eX]

[DOI]

,

,

Jaime R. de Moraes

Appl. Math. Comput., 2015

On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems.

[BibT_eX]

[DOI]

Márcio R. A. Gouveia

,

,

Douglas D. Novaes

Appl. Math. Comput., 2015

Global Dynamics of a Lotka-Volterra Model with Two Predators Competing for One Prey.

[BibT_eX]

[DOI]

,

Dongmei Xiao

SIAM J. Appl. Math., 2014

Piecewise linear differential systems with two real saddles.

[BibT_eX]

[DOI]

,

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Joao C. Medrado

,

Math. Comput. Simul., 2014

On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities.

[BibT_eX]

[DOI]

,

Jiang Yu

,

Xiang Zhang

Int. J. Bifurc. Chaos, 2014

On the analytic integrability of the cored galactic Hamiltonian.

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2014

Centers for a class of generalized quintic polynomial differential systems.

[BibT_eX]

[DOI]

,

,

Appl. Math. Comput., 2014

On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables.

[BibT_eX]

[DOI]

Isaac A. García

,

,

Susanna Maza

Appl. Math. Comput., 2014

Central configurations of the 4-body problem with masses m1 = m2 > m3 = m4 = m > 0 and m small.

[BibT_eX]

[DOI]

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Appl. Math. Comput., 2014

On the Number of Limit cycles for a Generalization of LiéNard Polynomial differential Systems.

[BibT_eX]

[DOI]

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Int. J. Bifurc. Chaos, 2013

Lower Bounds for the Maximum Number of Limit cycles of Discontinuous piecewise Linear differential Systems with a Straight Line of Separation.

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[DOI]

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Joan Torregrosa

Int. J. Bifurc. Chaos, 2013

On the Number of Limit cycles for Discontinuous piecewise Linear differential Systems in ℝ2n with Two Zones.

[BibT_eX]

[DOI]

,

Feng Rong

Int. J. Bifurc. Chaos, 2013

Canards from Chua's Circuit.

[BibT_eX]

[DOI]

Jean-Marc Ginoux

,

,

Leon O. Chua

Int. J. Bifurc. Chaos, 2013

Polynomial Vector Fields in ℝ3 with Infinitely Many Limit cycles.

[BibT_eX]

[DOI]

Antoni Ferragut

,

,

Chara Pantazi

Int. J. Bifurc. Chaos, 2013

Generalized Weierstrass integrability for the complex differential equations dydx=a(x)y4+b(x)y3+c(x)y2+d(x)y+e(x).

[BibT_eX]

[DOI]

,

Appl. Math. Lett., 2013

On the periodic orbits of the third-order differential equation x‴-μx″+x′-μx=εF(x, x′, x″).

[BibT_eX]

[DOI]

,

Luci A. F. Roberto

Appl. Math. Lett., 2013

A note on Liouvillian first integrals and invariant algebraic curves.

[BibT_eX]

[DOI]

,

Maite Grau

,

Appl. Math. Lett., 2013

On the dynamics of a class of Kolmogorov systems.

[BibT_eX]

[DOI]

,

Appl. Math. Comput., 2013

A note on the periodic orbits of a kind of Duffing equations.

[BibT_eX]

[DOI]

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Ana Rodrigues

Appl. Math. Comput., 2013

The symmetric central configurations of the 4-body problem with masses.

[BibT_eX]

[DOI]

Martha Alvarez-Ramírez

,

Appl. Math. Comput., 2013

A note on the equilibria of an economic model with local competition "à la Cournot".

[BibT_eX]

[DOI]

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Miguel Ángel López

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Raquel Martínez

J. Comput. Appl. Math., 2012

Polynomial First integrals for the Chen and Lü Systems.

[BibT_eX]

[DOI]

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Int. J. Bifurc. Chaos, 2012

Global Dynamics in the Poincaré ball of the Chen System having Invariant Algebraic Surfaces.

[BibT_eX]

[DOI]

,

,

Int. J. Bifurc. Chaos, 2012

Rational First integrals for Polynomial Vector Fields on Algebraic hypersurfaces of ℝn+1.

[BibT_eX]

[DOI]

Maurício Firmino Silva Lima

,

Yudy Bolaños

Int. J. Bifurc. Chaos, 2012

Limit cycles for a Class of Continuous Piecewise Linear differential Systems with Three Zones.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2012

On the Center conditions for analytic Monodromic degenerate Singularities.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2012

Global Phase portraits of some Reversible cubic Centers with Collinear or Infinitely Many Singularities.

[BibT_eX]

[DOI]

Magdalena Caubergh

,

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Joan Torregrosa

Int. J. Bifurc. Chaos, 2012

On the Maximum Number of Limit cycles of a Class of Generalized LiéNard differential Systems.

[BibT_eX]

[DOI]

Justino Alavez-Ramírez

,

Gamaliel Blé

,

Jorge López-López

,

Int. J. Bifurc. Chaos, 2012

Periodic orbits of the fourth-order non-autonomous differential equation iu'''' + qu'' + pu = εF(t, u, u', u'', u''').

[BibT_eX]

[DOI]

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Amar Makhlouf

Appl. Math. Comput., 2012

On the limit cycles of a class of piecewise linear differential systems in R4 with two zones.

[BibT_eX]

[DOI]

C. A. Buzzi

,

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Joao C. Medrado

Math. Comput. Simul., 2011

Global Classification of a Class of cubic Vector Fields whose Canonical Regions are Period annuli.

[BibT_eX]

[DOI]

Magdalena Caubergh

,

,

Joan Torregrosa

Int. J. Bifurc. Chaos, 2011

Limit cycles of Discontinuous Piecewise Linear differential Systems.

[BibT_eX]

[DOI]

Pedro Toniol Cardin

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Tiago de Carvalho

,

Int. J. Bifurc. Chaos, 2011

On the C1 non-integrability of the Belousov-Zhabotinskii system.

[BibT_eX]

[DOI]

,

Maurício Firmino Silva Lima

Comput. Math. Appl., 2011

Limit cycles and invariant cylinders for a class of continuous and discontinuous vector field in dimention 2n.

[BibT_eX]

[DOI]

,

Appl. Math. Comput., 2011

Analytical study of a triple Hopf bifurcation in a tritrophic food chain model.

[BibT_eX]

[DOI]

Jean-Pierre Françoise

,

Appl. Math. Comput., 2011

Invariant Tori Fulfilled by Periodic orbits for Four-Dimensional Differential Systems in the Presence of Resonance.

[BibT_eX]

[DOI]

,

Ana Cristina Mereu

,

Int. J. Bifurc. Chaos, 2010

Global Dynamics of the Lorenz System with Invariant Algebraic Surfaces.

[BibT_eX]

[DOI]

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Int. J. Bifurc. Chaos, 2010

The Geometry of Quadratic Polynomial Differential Systems with a Weak Focus and an Invariant Straight Line.

[BibT_eX]

[DOI]

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Dana Schlomiuk

Int. J. Bifurc. Chaos, 2010

Asymptotic Stability of Periodic Solutions for Nonsmooth Differential Equations with Application to the Nonsmooth van der Pol Oscillator.

[BibT_eX]

[DOI]

Adriana Buica

,

,

Oleg Makarenkov

SIAM J. Math. Anal., 2009

Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation.

[BibT_eX]

[DOI]

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SIAM J. Appl. Dyn. Syst., 2009

Phase Portraits of the Quadratic Systems with a Polynomial Inverse Integrating Factor.

[BibT_eX]

[DOI]

Bartomeu Coll

,

Antoni Ferragut

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Int. J. Bifurc. Chaos, 2009

Limit cycles bifurcating from a two-dimensional isochronous cylinder.

[BibT_eX]

[DOI]

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Appl. Math. Lett., 2009

Bifurcation of limit cycles from a 4-dimensional center in 1: n resonance.

[BibT_eX]

[DOI]

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Amar Makhlouf

Appl. Math. Comput., 2009

On the Families of Periodic Orbits of the Sitnikov Problem.

[BibT_eX]

[DOI]

,

Rafael Ortega

SIAM J. Appl. Dyn. Syst., 2008

Singular Points of Quadratic Systems: a Complete Classification in the Coefficient Space R12.

[BibT_eX]

[DOI]

,

,

Nicolae Vulpe

Int. J. Bifurc. Chaos, 2008

Formal and Analytic Integrability of the Rossler System.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2007

Horseshoes Near homoclinic orbits for Piecewise Linear Differential Systems in R3.

[BibT_eX]

[DOI]

,

Enrique Ponce

,

Antonio E. Teruel

Int. J. Bifurc. Chaos, 2007

Periodic orbits Near a heteroclinic Loop formed by One-Dimensional Orbit and a Two-Dimensional Manifold: Application to the charged Collinear Three-Body Problem.

[BibT_eX]

[DOI]

,

Daniel Pasca

Int. J. Bifurc. Chaos, 2007

Hyperbolic Periodic orbits from the bifurcation of a Four-Dimensional Nonlinear Center.

[BibT_eX]

[DOI]

Antoni Ferragut

,

,

Int. J. Bifurc. Chaos, 2007

Generation of Symmetric Periodic orbits by a heteroclinic Loop formed by Two Singular Points and their Invariant Manifolds of Dimensions 1 and 2 in R3.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2007

Symmetric Periodic orbits Near heteroclinic Loops at Infinity for a Class of Polynomial Vector Fields.

[BibT_eX]

[DOI]

,