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Zouhair Diab
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All published works
Action
Title
Year
Authors
+
The zero-Hopf bifurcations of a new hyperchaotic system
2023
Zouhair Diab
M. Teresa de Bustos
Miguel A. López
Raquel Martínez
+
PDF
Chat
Calculating periodic orbits of the Hénon–Heiles system
2023
Sawsan Alhowaity
Elbaz I. Abouelmagd
Zouhair Diab
Juan L. G. Guirao
+
PDF
Chat
Limit cycles of perturbed global isochronous center
2022
Zouhair Diab
M. Teresa de Bustos
Miguel A. López
Raquel Martínez
+
PDF
Chat
Limit cycles of a generalised Mathieu differential system
2022
Zouhair Diab
Juan L. G. Guirao
Jaume Llibre
Amar Makhlouf
+
PDF
Chat
Existence of Periodic Solutions for a Class of the Generalized Liénard Equations
2022
M. Teresa de Bustos
Zouhair Diab
Juan L. G. Guirao
Miguel A. López
Raquel Martínez
+
On the limit cycles for a class of generalized Liénard differential systems
2021
Zouhair Diab
Juan L. G. Guirao
Juan A. Vera
+
On the Periodic Structure of the Rabinovitch-Fabrikant System
2021
Zouhair Diab
Juan L. G. Guirao
Juan A. Vera
+
PDF
Chat
Zero-Hopf Bifurcation in a Generalized Genesio Differential Equation
2021
Zouhair Diab
Juan L. G. Guirao
Juan A. Vera
+
PDF
Chat
A Note on the Periodic Solutions for a Class of Third Order Differential Equations
2020
Zouhair Diab
Juan L. G. Guirao
Juan A. Vera
+
PDF
Chat
LIMIT CYCLES IN DISCONTINUOUS GENERALIZED LIÉNARD DIFFERENTIAL EQUATIONS
2020
Zouhair Diab
+
ON THE ZERO-HOPF BIFURCATION OF THE GENERALIZED A CHEN--WANG SYSTEM
2020
Zouhair Diab
+
ZERO-HOPF BIFURCATION OF A QUARTIC SYSTEM OBTAINED FROM A SCALAR THIRD ORDER ORDINARY DIFFERENTIAL EQUATION
2020
Zouhair Diab
+
PDF
Chat
Limit Cycles for the Class of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:math>-Dimensional Polynomial Differential Systems
2016
Zouhair Diab
Amar Makhlouf
Common Coauthors
Coauthor
Papers Together
Juan L. G. Guirao
7
Juan A. Vera
4
Miguel A. López
3
M. Teresa de Bustos
3
Raquel Martínez
3
Amar Makhlouf
2
Elbaz I. Abouelmagd
1
Sawsan Alhowaity
1
Jaume Llibre
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Averaging methods for finding periodic orbits via Brouwer degree
2003
Adriana Buică
Jaume Llibre
7
+
PDF
Chat
Averaging Methods in Nonlinear Dynamical Systems
1985
Jan A. Sanders
Ferdinand Verhulst
4
+
PDF
Chat
Higher order averaging theory for finding periodic solutions via Brouwer degree
2014
Jaume Llibre
Douglas D. Novaes
Marco Antônio Teixeira
3
+
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
1983
John Guckenheimer
Philip Holmes
2
+
On the Periodic Structure of the Rabinovitch-Fabrikant System
2021
Zouhair Diab
Juan L. G. Guirao
Juan A. Vera
2
+
PDF
Chat
Mathematical problems
2000
David Hilbert
2
+
PDF
Chat
Transcritical and zero-Hopf bifurcations in the Genesio system
2016
Pedro Toniol Cardin
Jaume Llibre
2
+
Basic Algebraic Geometry 2
1994
Igor R. Shafarevich
1
+
Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
1999
Tsampikos Kottos
Uzy Smilansky
1
+
An equation for continuous chaos
1976
Otto E. Rössler
1
+
Averaging analysis of a perturbated quadratic center
2001
Jaume Llibre
Jesús S. Pérez del Rı́o
José Ángel Rodríguez
1
+
HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
2009
Maoan Han
Junmin Yang
Pei Yu
1
+
On the shape of limit cycles that bifurcate from Hamiltonian centers
2000
Héctor Giacomini
Jaume Llibre
Mireille Viano
1
+
ON THE NUMBER AND DISTRIBUTION OF LIMIT CYCLES IN A CUBIC SYSTEM
2004
Maoan Han
Tonghua Zhang
Hong Zang
1
+
PDF
Chat
BIFURCATION AND CHAOS IN A COMPLEX MODEL OF DISSIPATIVE MEDIUM
2004
Marius‐F. Danca
Guanrong Chen
1
+
PDF
Chat
Simultaneous Periodic Orbits Bifurcating from Two Zero-Hopf Equilibria in a Tritrophic Food Chain Model
2013
Víctor Castellanos
Jaume Llibre
Ingrid Quilantán Ortega
1
+
PDF
Chat
Zero–Hopf bifurcation in a hyperchaotic Lorenz system
2013
Lorena Cid-Montiel
Jaume Llibre
Cristina Stoica
1
+
PDF
Chat
Centennial History of Hilbert's 16th Problem
2002
Yu. Ilyashenko
1
+
Nonlinear Ordinary Differential Equations (D. W. Jordan and P. Smith)
1979
Kenneth B. Hannsgen
1
+
Classical Liénard equations of degree <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>6</mml:mn></mml:math> can have <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mo stretchy="false">[</mml:mo><mml:mfrac><mml:mrow><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>2</mml:mn></mml:mfrac><mml:mo stretchy="false">]</mml:mo><mml:mo>+</mml:…
2010
Peter De Maesschalck
Freddy Dumortier
1
+
Periodic solutions of nonlinear periodic differential systems with a small parameter
2007
Adriana Buică
Jean–Pierre Françoise
Jaume Llibre
1
+
Existence of periodic orbits of the second kind in the restricted problems of three bodies
1965
Richard B. Barrar
1
+
Existence of a Singularly Degenerate Heteroclinic Cycle in the Lorenz System and Its Dynamical Consequences: Part I
2004
Hiroshi Kokubu
Robert Roussarie
1
+
PDF
Chat
Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body
2014
Elbaz I. Abouelmagd
Juan L. G. Guirao
Juan A. Vera
1
+
Some simple chaotic jerk functions
1997
J. C. Sprott
1
+
Slow Divergence Integrals in Classical Liénard Equations Near Centers
2014
Peter De Maesschalck
Renato Huzak
1
+
PDF
Chat
A new cubic system having eleven limit cycles
2005
Maoan Han
Yuhai Wu
Ping Bi
1
+
PDF
Chat
Limit Cycles for a Class of Three-Dimensional Polynomial Differential Systems
2007
Jaume Llibre
Jiang Yu
1
+
A hyperchaotic system from the Rabinovich system
2009
Yongjian Liu
Qigui Yang
Guoping Pang
1
+
Lower bounds for the Hilbert number of polynomial systems
2011
Maoan Han
Jibin Li
1
+
Mathematical problems for the next century
1998
Steve Smale
1
+
HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
2003
Jibin Li
1
+
Liénard-type equations and the epidemiology of malaria
1992
Helmar Nunes Moreira
1
+
Uniqueness of limit cycles for Liénard differential equations of degree four
2011
Chengzhi Li
Jaume Llibre
1
+
Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory
2008
Anna Cima
Jaume Llibre
Marco Antônio Teixeira
1
+
Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
1994
Terence R. Blows
L. M. Perko
1
+
Limit cycles in discontinuous classical Liénard equations
2014
Ricardo Miranda Martins
Ana Cristina Mereu
1
+
PDF
Chat
Periodic orbits and non-integrability of Hénon–Heiles systems
2011
Jaume Llibre
Lidia Jiménez–Lara
1
+
PDF
Chat
Limit Cycles for a Class of Third-Order Differential Equations
2010
Jaume Llibre
Jiang Yu
Xiang Zhang
1
+
Limit cycles of the generalized polynomial Liénard differential equations
2009
Jaume Llibre
Ana Cristina Mereu
Marco Antônio Teixeira
1
+
PDF
Chat
Hopf bifurcation in higher dimensional differential systems via the averaging method
2009
Jaume Llibre
Xiang Zhang
1
+
A cubic system with thirteen limit cycles
2009
Chengzhi Li
Changjian Liu
Jiazhong Yang
1
+
PDF
Chat
On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system
2015
Jaume Llibre
Regilene Oliveira
Clàudìa Valls
1
+
PDF
Chat
Periodic solutions of a third order nonlinear differential equation
1972
Rolf Reißig
1
+
PDF
Chat
Existence of four solutions for the elliptic problem with nonlinearity crossing one eigenvalue
2013
Tacksun Jung
Q-Heung Choi
1
+
PDF
Chat
Deterministic Nonperiodic Flow
1963
Edward N. Lorenz
1
+
Limit Cycles for a Mechanical System Coming from the Perturbation of a Four–Dimensional Linear Center
2006
Jaume Llibre
Marco Antônio Teixeira
1
+
PDF
Chat
Wada basins and chaotic invariant sets in the Hénon-Heiles system
2001
Jacobo Aguirre
Juan Carlos Vallejo
Miguel A. F. Sanjuán
1
+
PDF
Chat
Zero-Hopf bifurcation in the generalized Michelson system
2015
Jaume Llibre
Amar Makhlouf
1
+
PDF
Chat
Periodic solutions of Lienard differential equations via averaging theory of order two
2015
Jaume Llibre
Douglas D. Novaes
Marco Antônio Teixeira
1