| Publication | Date of Publication | Type |
|---|
| The blow-up method applied to monodromic singularities | 2024-03-22 | Paper |
| On the geometric and analytical properties of the anharmonic oscillator | 2024-02-27 | Paper |
| Criteria for the nonexistence of periodic orbits in planar differential systems | 2023-11-16 | Paper |
| Center conditions to find certain degenerate centers with characteristic directions | 2023-11-13 | Paper |
| Modified Hawking effect from generalized uncertainty principle | 2023-09-21 | Paper |
| Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system | 2023-07-12 | Paper |
| The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor | 2023-07-06 | Paper |
| Generalized Heisenberg uncertainty principle due to the quantum gravitational effects in the Schwarzschild spacetime | 2023-05-25 | Paper |
| On the integrability of the vocal fold model | 2023-05-08 | Paper |
| Invariant algebraic curves for certain generalized Liénard differential system | 2023-04-19 | Paper |
| A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves | 2023-01-12 | Paper |
| Criteria on the existence of limit cycles in planar polynomial differential systems | 2022-12-08 | Paper |
| Time-reversibility and integrability of p:-q resonant vector fields | 2022-11-22 | Paper |
| Integrability of the Tolman-Oppenheimer-Volkoff equation | 2022-11-11 | Paper |
| Baryogenesis in non-extensive Tsallis cosmology | 2022-09-15 | Paper |
| Analytic integrability of certain resonant saddle | 2022-05-16 | Paper |
| Puiseux integrability of differential equations | 2022-03-15 | Paper |
| Center problem with characteristic directions and inverse integrating factors | 2022-02-16 | Paper |
| Integrability conditions of a weak saddle in a complex polynomial differential system | 2022-01-24 | Paper |
| Linearizability of planar polynomial Hamiltonian systems | 2021-12-15 | Paper |
| Generalized Dirac equation for a particle in a gravitational field | 2021-12-14 | Paper |
| Quantum fluctuations and the \(N\)-slit interference | 2021-11-05 | Paper |
| Center problem for generic degenerate vector fields | 2021-11-02 | Paper |
| A new normal form for monodromic nilpotent singularities of planar vector fields | 2021-08-30 | Paper |
| Simultaneity of centres in double-reversible planar differential systems | 2021-06-22 | Paper |
| Vanishing set of inverse Jacobi multipliers and attractor/repeller sets | 2021-04-26 | Paper |
| Formal Weierstrass integrability for a Liénard differential system | 2021-03-30 | Paper |
| A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds | 2021-03-11 | Paper |
| Center conditions for nilpotent cubic systems using the Cherkas method | 2021-02-19 | Paper |
| A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS | 2021-01-29 | Paper |
| Lower bounds for the local cyclicity for families of centers | 2021-01-08 | Paper |
| Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor | 2020-10-22 | Paper |
| CENTERS FOR THE KUKLES HOMOGENEOUS SYSTEMS WITH EVEN DEGREE | 2020-09-15 | Paper |
| Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems | 2020-09-10 | Paper |
| Highest weak focus order for trigonometric Liénard equations | 2020-06-30 | Paper |
| A note on: ``The generalized Liénard polynomial differential systems \(x' = y\), \(y' =-g(x) - f(x)y\), with \(\deg g =\deg f + 1\), are not Liouvillian integrable | 2020-05-26 | Paper |
| Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2 | 2020-04-22 | Paper |
| Small-amplitude limit cycles of certain planar differential systems | 2020-04-17 | Paper |
| Orbitally universal centers | 2020-03-30 | Paper |
| Strongly formal Weierstrass non-integrability for polynomial differential systems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">C</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:math> | 2020-02-26 | Paper |
| Nonlinear oscillations in the modified Leslie-Gower model | 2020-01-22 | Paper |
| Center conditions of a particular polynomial differential system with a nilpotent singularity | 2020-01-20 | Paper |
| Blow-up method to compute necessary conditions of integrability for planar differential systems | 2019-12-12 | Paper |
| A counterexample to the composition condition conjecture for polynomial Abel differential equations | 2019-11-12 | Paper |
| Analytic integrability around a nilpotent singularity: the non-generic case | 2019-11-04 | Paper |
| Liouvillian integrability of a general Rayleigh-Duffing oscillator | 2019-09-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4966556 | 2019-06-26 | Paper |
| Nondegenerate and nilpotent centers for a cubic system of differential equations | 2019-06-20 | Paper |
| The Liouvillian Integrability of Several Oscillators | 2019-06-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5376895 | 2019-05-21 | Paper |
| Global C∞ integrability of quartic–linear polynomial differential systems | 2019-04-29 | Paper |
| Analytic integrability around a nilpotent singularity | 2019-04-23 | Paper |
| On the critical points of the flight return time function of perturbed closed orbits | 2019-03-21 | Paper |
| On the dynamics of the Rayleigh-Duffing oscillator | 2019-02-27 | Paper |
| Simultaneity of centres in ℤ q -equivariant systems | 2018-11-26 | Paper |
| The stable limit cycles: a synchronization phenomenon | 2018-08-15 | Paper |
| Integrability Conditions for Complex Homogeneous Kukles Systems | 2018-08-15 | Paper |
| Casimir effect and the uncertainty principle | 2018-08-07 | Paper |
| The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields | 2018-06-28 | Paper |
| Nondegenerate centers and limit cycles of cubic Kolmogorov systems | 2018-06-14 | Paper |
| Center conditions for polynomial Liénard systems | 2018-04-03 | Paper |
| The cubic polynomial differential systems with two circles as algebraic limit cycles | 2018-01-23 | Paper |
| Nilpotent centres via inverse integrating factors | 2017-11-24 | Paper |
| The generalized polynomial Moon-Rand system | 2017-11-17 | Paper |
| Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems | 2017-10-18 | Paper |
| Centers for generalized quintic polynomial differential systems | 2017-10-12 | Paper |
| On the integrability of Liénard systems with a strong saddle | 2017-09-15 | Paper |
| Liénard Equation and Its Generalizations | 2017-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5352057 | 2017-09-08 | Paper |
| Center problem for trigonometric Liénard systems | 2017-08-03 | Paper |
| Integrability conditions for complex kukles systems | 2017-07-19 | Paper |
| Integrability of Liénard systems with a weak saddle | 2017-06-27 | Paper |
| Nondegenerate centers for Abel polynomial differential equations of second kind | 2017-06-13 | Paper |
| Periodic solutions for nonlinear differential systems: the second- order bifurcation function | 2017-04-04 | Paper |
| Centers of weight-homogeneous polynomial vector fields on the plane | 2017-03-27 | Paper |
| Integrability conditions of a resonant saddle in Liénard-like complex systems | 2017-02-08 | Paper |
| Center conditions for generalized polynomial Kukles systems | 2017-02-03 | Paper |
| Geometric criterium in the center problem | 2016-12-07 | Paper |
| Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities | 2016-10-21 | Paper |
| Analytic reducibility of nondegenerate centers: Cherkas systems | 2016-09-09 | Paper |
| The center problem and composition condition for Abel differential equations | 2016-05-11 | Paper |
| Analytic integrability inside a family of degenerate centers | 2016-05-11 | Paper |
| Analytic nilpotent centers as limits of nondegenerate centers revisited | 2016-05-04 | Paper |
| Centers for a class of generalized quintic polynomial differential systems | 2016-04-28 | Paper |
| The solution of the \(1:-3\) resonant center problem in the quadratic case | 2016-04-25 | Paper |
| Integrability of Lotka–Volterra Planar Complex Cubic Systems | 2016-04-18 | Paper |
| Analytic integrability of some examples of degenerate planar vector fields | 2016-04-11 | Paper |
| Averaging methods of arbitrary order, periodic solutions and integrability | 2016-02-08 | Paper |
| Center problem for systems with two monomial nonlinearities | 2016-01-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3464813 | 2016-01-27 | Paper |
| A sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds | 2016-01-26 | Paper |
| The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system | 2016-01-18 | Paper |
| Integrability of complex planar systems with homogeneous nonlinearities | 2015-11-10 | Paper |
| Analytic integrability of cubic-linear planar polynomial differential systems | 2015-11-09 | Paper |
| Limit cycles bifurcating from planar polynomial quasi-homogeneous centers | 2015-09-30 | Paper |
| Reversible nilpotent centers with cubic homogeneous nonlinearities | 2015-09-25 | Paper |
| Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\) | 2015-08-24 | Paper |
| Universal centers in the cubic trigonometric Abel equation | 2015-05-22 | Paper |
| Essential perturbations of polynomial vector fields with a period annulus | 2015-04-14 | Paper |
| Centers for the Kukles homogeneous systems with odd degree | 2015-04-08 | Paper |
| A method for characterizing nilpotent centers | 2015-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5496539 | 2015-02-02 | Paper |
| Dulac functions of planar vector fields | 2015-01-27 | Paper |
| Centers and isochronous centers for generalized quintic systems | 2015-01-06 | Paper |
| Polynomial and rational first integrals for planar homogeneous polynomial differential systems | 2014-12-19 | Paper |
| Singularity analysis in planar vector fields | 2014-12-11 | Paper |
| The center problem for a \({1:-4}\) resonant quadratic system | 2014-08-26 | Paper |
| Analytic integrability for some degenerate planar vector fields | 2014-05-09 | Paper |
| On the determination of the limit cycles using the harmonic balance method | 2014-04-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5409628 | 2014-04-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5403847 | 2014-03-19 | Paper |
| The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems | 2013-12-23 | Paper |
| On the first integrals in the center problem | 2013-12-19 | Paper |
| A note on the Liouvillian integrability and the qualitative properties of the mass rate equation for black holes | 2013-11-29 | Paper |
| Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems | 2013-11-11 | Paper |
| On the formal integrability problem for planar differential systems | 2013-09-19 | Paper |
| On the extensions of the Darboux theory of integrability | 2013-09-02 | Paper |
| Analytic integrability for some degenerate planar systems | 2013-06-06 | Paper |
| Universal centres and composition conditions | 2013-05-16 | Paper |
| Averaging theory at any order for computing periodic orbits | 2013-05-10 | Paper |
| The phenomenological version of modified Newtonian dynamics from the relativity principle of motion | 2013-04-18 | Paper |
| Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities | 2013-04-11 | Paper |
| Cosmological consequences of the holographic scenario | 2013-04-08 | Paper |
| THE HOLOGRAPHIC SCENARIO, THE MODIFIED INERTIA AND THE DYNAMICS OF THE UNIVERSE | 2013-04-04 | Paper |
| ON THE CENTER CONDITIONS FOR ANALYTIC MONODROMIC DEGENERATE SINGULARITIES | 2013-03-05 | Paper |
| On the planar integrable differential systems | 2013-02-04 | Paper |
| A note on Liouvillian first integrals and invariant algebraic curves | 2012-12-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4647623 | 2012-11-06 | Paper |
| On the multiplicity of algebraic limit cycles | 2012-10-31 | Paper |
| ON THE DEGENERATE CENTER PROBLEM | 2012-10-19 | Paper |
| Reduction of integrable planar polynomial differential systems | 2012-10-17 | Paper |
| The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System | 2012-09-21 | Paper |
| On Liouvillian integrability of the first-order polynomial ordinary differential equations | 2012-08-30 | Paper |
| Higher order limit cycle bifurcations from non-degenerate centers | 2012-08-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2897715 | 2012-07-16 | Paper |
| Essential variables in the integrability problem of planar vector fields | 2012-06-26 | Paper |
| Limit cycle bifurcations from a non-degenerate center | 2012-06-11 | Paper |
| Minimum number of ideal generators for a linear center perturbed by homogeneous polynomials | 2012-05-20 | Paper |
| The pioneer anomaly and the holographic scenario | 2012-05-16 | Paper |
| A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter | 2012-04-19 | Paper |
| A note on Liouvillian integrability | 2012-01-04 | Paper |
| Local integrability for nilpotent critical point | 2012-01-02 | Paper |
| Existence of inverse integrating factors and Lie symmetries for degenerate planar centers | 2011-12-06 | Paper |
| Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities | 2011-07-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2998671 | 2011-05-18 | Paper |
| On the polynomial limit cycles of polynomial differential equations | 2011-05-05 | Paper |
| On the origin of the inertial force and gravitation | 2011-03-17 | Paper |
| Weierstrass integrability in Liénard differential systems | 2011-02-22 | Paper |
| To the memory of Javier Chavarriga | 2010-12-14 | Paper |
| Cyclicity versus center problem | 2010-12-14 | Paper |
| The reversibility and the center problem | 2010-11-25 | Paper |
| On the origin of the inertia: the modified Newtonian dynamics theory | 2010-11-04 | Paper |
| Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra | 2010-10-14 | Paper |
| Abel differential equations admitting a certain first integral | 2010-07-20 | Paper |
| On the integrable rational Abel differential equations | 2010-06-29 | Paper |
| Integrability conditions for Lotka-Volterra planar complex quintic systems | 2010-06-03 | Paper |
| Weierstrass integrability of differential equations | 2010-05-05 | Paper |
| Analytic nilpotent centers with analytic first integral | 2010-03-29 | Paper |
| Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries | 2010-03-29 | Paper |
| Linearizability conditions for Lotka–Volterra planar complex cubic systems | 2009-07-15 | Paper |
| On the cyclicity of weight-homogeneous centers | 2009-05-05 | Paper |
| Generalized nonlinear superposition principles for planar polynomial vector fields | 2009-02-04 | Paper |
| On the origin of the anomalous precession of Mercury's perihelion | 2009-01-28 | Paper |
| Linearization of smooth planar vector fields around singular points via commuting flows | 2009-01-15 | Paper |
| The center problem via averaging method | 2009-01-15 | Paper |
| Liénard and Riccati differential equations related via Lie algebras | 2008-10-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3526320 | 2008-09-25 | Paper |
| On the origin of quantum mechanics | 2008-08-22 | Paper |
| Lie symmetries for the orbital linearization of smooth planar vector fields around singular points | 2008-06-24 | Paper |
| Linearizable planar differential systems via the inverse integrating factor | 2008-05-19 | Paper |
| ON THE CENTERS OF PLANAR ANALYTIC DIFFERENTIAL SYSTEMS | 2008-05-16 | Paper |
| On some open problems in planar differential systems and Hilbert's 16th problem | 2008-04-17 | Paper |
| On the origin of the gravitational quantization: the Titius-Bode law | 2008-04-16 | Paper |
| Integrability of planar polynomial differential systems through linear differential equations | 2008-03-14 | Paper |
| Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems | 2008-03-11 | Paper |
| Integrability of magnetic fields created by current distributions | 2008-03-07 | Paper |
| The role of algebraic solutions in planar polynomial differential systems | 2007-11-22 | Paper |
| Linearizable ordinary differential equations | 2007-10-26 | Paper |
| A necessary condition in the monodromy problem for analytic differential equations on the plane | 2007-10-23 | Paper |
| On the existence of limit cycles for some class of polynomial planar systems | 2007-09-28 | Paper |
| Multiplicity of limit cycles and analytic \(m\)-solutions for planar differential systems | 2007-09-19 | Paper |
| On the number of algebraically independent Poincaré-Liapunov constants | 2007-07-10 | Paper |
| The center problem for a linear center perturbed by homogeneous polynomials | 2007-05-24 | Paper |
| Limit cycles of cubic polynomial vector fields via the averaging theory | 2007-04-13 | Paper |
| An algorithmic method to determine integrability for polynomial planar vector fields | 2007-02-07 | Paper |
| Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations | 2007-01-29 | Paper |
| A family of isochronous foci with Darboux first integral | 2007-01-19 | Paper |
| A note on: ``Relaxation oscillators with exact limit cycles | 2006-12-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5394862 | 2006-11-01 | Paper |
| The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems | 2006-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5474769 | 2006-06-26 | Paper |
| ON INTEGRABILITY OF DIFFERENTIAL EQUATIONS DEFINED BY THE SUM OF HOMOGENEOUS VECTOR FIELDS WITH DEGENERATE INFINITY | 2006-06-23 | Paper |
| ANALYTIC INTEGRABILITY OF NILPOTENT CUBIC SYSTEMS WITH DEGENERATE INFINITY | 2006-06-23 | Paper |
| Linearizability and integrability of vector fields via commutation | 2006-05-16 | Paper |
| The nondegenerate center problem and the inverse integrating factor | 2006-04-28 | Paper |
| Characterization of isochronous foci for planar analytic differential systems | 2006-01-10 | Paper |
| Polynomial first integrals via the Poincaré series | 2005-09-22 | Paper |
| On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force | 2005-08-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4670212 | 2005-04-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4660502 | 2005-04-04 | Paper |
| Isochronous Foci for Analytic Differential Systems | 2005-03-08 | Paper |
| Analytic integrability and characterization of centers for nilpotent singular points | 2005-03-01 | Paper |
| Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities | 2005-02-22 | Paper |
| SUFFICIENT CONDITIONS FOR A CENTER AT A COMPLETELY DEGENERATE CRITICAL POINT | 2004-08-09 | Paper |
| Non-algebraic invariant curves for polynomial planar vector fields | 2004-06-18 | Paper |
| Generalized cofactors and nonlinear superposition principles | 2004-06-11 | Paper |
| Implementation of a new algorithm of computation of the Poincaré-Lyapunov constants. | 2004-03-29 | Paper |
| Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities. | 2004-03-14 | Paper |
| Analytic integrability and characterization of centers for generalized nilpotent singular points. | 2004-01-26 | Paper |
| Local analytic integrability for nilpotent centers | 2003-12-09 | Paper |
| Darboux integrability and the inverse integrating factor. | 2003-11-16 | Paper |
| Isochronicity into a family of time-reversible cubic vector fields | 2003-01-28 | Paper |
| Integrable systems via polynomial inverse integrating factors | 2002-09-18 | Paper |
| Analytic integrability of a class of nilpotent cubic systems | 2002-09-03 | Paper |
| On the Poincaré–Lyapunov constants and the Poincare series | 2002-08-27 | Paper |
| Conditions for the existence of a center for the Kukles homogeneous systems | 2002-08-15 | Paper |
| On Lie's symmetries for planar polynomial differential systems | 2002-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4533199 | 2002-06-09 | Paper |
| Integrability of cubic systems with degenerate infinity | 2002-05-23 | Paper |
| A class of reversible cubic systems with an isochronous center | 2002-03-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4522499 | 2001-10-21 | Paper |
| Isochronous centers of cubic systems with degenerate infinity | 2001-09-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4524909 | 2001-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2717966 | 2001-07-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4702496 | 2000-10-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4702497 | 2000-10-17 | Paper |
| On the integrability of two-dimensional flows | 2000-07-26 | Paper |
| An improvement to Darboux integrability theorem for systems having a center | 2000-04-09 | Paper |
| Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials | 2000-01-01 | Paper |
| Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial | 1999-09-23 | Paper |
| On a new type of bifurcation of limit cycles for a planar cubic system | 1999-08-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4394769 | 1999-01-19 | Paper |
| Integrability of a linear center perturbed by a fifth degree homogeneous polynomial | 1998-10-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4394631 | 1998-08-18 | Paper |
| Polynomial first integrals of systems in the plane with center type linear part | 1998-07-14 | Paper |
| The null divergence factor | 1998-01-06 | Paper |
| Integrability of centers perturbed by quasi-homogeneous polynomials | 1997-10-30 | Paper |
| Integrability of a linear center perturbed by a fourth degree homogeneous polynomial | 1996-12-08 | Paper |
