| Publication | Date of Publication | Type |
|---|
| On the number of limit cycles for piecewise polynomial holomorphic systems | 2023-12-03 | Paper |
| Proof Without Words: Tangent of π/8. | 2023-11-24 | Paper |
| Counting configurations of limit cycles and centers | 2023-11-16 | Paper |
| Three essays on Machin's type formulas | 2023-10-25 | Paper |
| Probability of existence of limit cycles for a family of planar systems | 2023-09-15 | Paper |
| A dynamic Parrondo's paradox for continuous seasonal systems | 2023-08-16 | Paper |
| On some rational piecewise linear rotations | 2023-06-30 | Paper |
| Existence of at most two limit cycles for some non-autonomous differential equations | 2023-04-19 | Paper |
| Number of limit cycles for planar systems with invariant algebraic curves | 2023-02-20 | Paper |
| Probability of occurrence of some planar random quasi-homogeneous vector fields | 2023-02-01 | Paper |
| Discrete Melnikov functions | 2022-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5053354 | 2022-12-06 | Paper |
| Meromorphic first integrals of analytic diffeomorphisms | 2022-11-14 | Paper |
| Number of limit cycles for planar systems with invariant algebraic curves | 2022-10-27 | Paper |
| Uniqueness of the limit cycles for complex differential equations with two monomials | 2022-10-13 | Paper |
| Regularization of Brouwer translation theorem | 2022-10-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5104125 | 2022-09-09 | Paper |
| On the equilateral pentagonal central configurations | 2022-06-13 | Paper |
| On the equilateral pentagonal central configurations | 2022-04-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5035980 | 2022-02-22 | Paper |
| Pointwise periodic maps with quantized first integrals | 2022-02-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5031681 | 2022-02-16 | Paper |
| Some open problems in low dimensional dynamical systems | 2021-12-27 | Paper |
| Solving polynomials with ordinary differential equations | 2021-11-23 | Paper |
| Effectiveness of the Bendixson-Dulac theorem | 2021-11-09 | Paper |
| Persistence of periodic traveling waves and abelian integrals | 2021-08-06 | Paper |
| Stability index of linear random dynamical systems | 2021-06-25 | Paper |
| Limit cycles for some families of smooth and non-smooth planar systems | 2021-04-20 | Paper |
| The local period function for Hamiltonian systems with applications | 2021-03-11 | Paper |
| Around some extensions of Casas-Alvero conjecture for non-polynomial functions | 2021-02-11 | Paper |
| Phase portraits of random planar homogeneous vector fields | 2021-01-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5133308 | 2020-11-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5133331 | 2020-11-12 | Paper |
| Periodic points of a Landen transformation | 2020-10-23 | Paper |
| Many periodic solutions for a second order cubic periodic differential equation | 2020-10-12 | Paper |
| Asymptotic dynamics of a difference equation with a parabolic equilibrium | 2020-10-12 | Paper |
| EFFECTIVE CONSTRUCTION OF POINCARÉ-BENDIXSON REGIONS | 2020-09-15 | Paper |
| Highest weak focus order for trigonometric Liénard equations | 2020-06-30 | Paper |
| Limit Cycles for Piecewise Linear Differential Systems via Poincaré–Miranda Theorem | 2020-06-29 | Paper |
| A Chebyshev criterion with applications | 2020-06-16 | Paper |
| A new approach for the study of limit cycles | 2020-06-02 | Paper |
| A note on the Lyapunov and period constants | 2020-02-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5216354 | 2020-02-17 | Paper |
| Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem | 2020-01-15 | Paper |
| Difference equations everywhere: some motivating examples | 2019-11-28 | Paper |
| Fixed and moving limit cycles for Liénard equations | 2019-11-27 | Paper |
| Smooth linearisation of planar periodic maps | 2019-09-30 | Paper |
| Rational parameterizations approach for solving equations in some dynamical systems problems | 2019-09-19 | Paper |
| Periodic solutions of linear, Riccati, and Abel dynamic equations | 2018-12-10 | Paper |
| Subseries and signed series | 2018-10-31 | Paper |
| Algebraic Limit Cycles in Piecewise Linear Differential Systems | 2018-04-25 | Paper |
| Detection of special curves via the double resultant | 2018-04-03 | Paper |
| Periodic points of a Landen transformation | 2018-01-12 | Paper |
| Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points | 2017-11-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5373692 | 2017-10-27 | Paper |
| Quantitative analysis of competition models | 2017-10-18 | Paper |
| On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations | 2017-09-28 | Paper |
| Bifurcation of 2-periodic orbits from non-hyperbolic fixed points | 2017-09-25 | Paper |
| Center problem for trigonometric Liénard systems | 2017-08-03 | Paper |
| Integrability of Liénard systems with a weak saddle | 2017-06-27 | Paper |
| Linearization of planar homeomorphisms with a compact attractor | 2017-05-08 | Paper |
| Global behaviour of the period function of the sum of two quasi-homogeneous vector fields | 2017-02-08 | Paper |
| Different Approaches to the Global Periodicity Problem | 2017-01-12 | Paper |
| Periods of solutions of periodic differential equations. | 2016-10-26 | Paper |
| The number of polynomial solutions of polynomial Riccati equations | 2016-09-05 | Paper |
| On the number of limit cycles for perturbed pendulum equations | 2016-05-19 | Paper |
| Proving the existence of numerically detected planar limit cycles | 2016-01-30 | Paper |
| Center problem for systems with two monomial nonlinearities | 2016-01-29 | Paper |
| Maxima of gamma random variables and other Weibull-like distributions and the Lambert \(W\) function | 2016-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3192362 | 2015-10-12 | Paper |
| Seeking Darboux polynomials | 2015-10-06 | Paper |
| Linearization of planar involutions in \(\mathcal C^1\) | 2015-09-14 | Paper |
| Basin of attraction of triangular maps with applications | 2015-08-24 | Paper |
| Non-integrability of measure preserving maps via Lie symmetries | 2015-08-19 | Paper |
| Explicit travelling waves and invariant algebraic curves | 2015-07-27 | Paper |
| Vector fields with homogeneous nonlinearities and many limit cycles | 2015-06-18 | Paper |
| Limit cycles for 3-monomial differential equations | 2015-06-12 | Paper |
| Bifurcation diagram and stability for a one-parameter family of planar vector fields | 2015-03-27 | Paper |
| The period function and the harmonic balance method | 2015-02-18 | Paper |
| On the global asymptotic stability of difference equations satisfying a Markus-Yamabe condition | 2014-12-19 | Paper |
| Non-algebraic oscillations for predator-prey models | 2014-12-19 | Paper |
| Bifurcation values for a family of planar vector fields of degree five | 2014-12-08 | Paper |
| On the norming constants for normal maxima | 2014-10-07 | Paper |
| Approximating Mills ratio | 2014-08-26 | Paper |
| Some Applications of the Extended Bendixson-Dulac Theorem | 2014-08-08 | Paper |
| Traveling surface waves of moderate amplitude in shallow water | 2014-04-04 | Paper |
| GLOBAL PERIODICITY CONDITIONS FOR MAPS AND RECURRENCES VIA NORMAL FORMS | 2014-04-03 | Paper |
| Integrability and non-integrability of periodic non-autonomous Lyness recurrences | 2014-04-01 | Paper |
| A proof of Perko's conjectures for the Bogdanov-Takens system | 2014-02-13 | Paper |
| An explicit bound of the number of vanishing double moments forcing composition | 2014-01-30 | Paper |
| Weak periodic solutions of $x\ddot{x} + 1 = 0$ and the harmonic balance method | 2013-11-27 | Paper |
| Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations | 2013-11-11 | Paper |
| Maxima of Weibull-like distributions and the Lambert W function | 2013-08-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4923731 | 2013-05-27 | Paper |
| Gaussian Mills ratio is completely monotone | 2013-05-23 | Paper |
| NONAUTONOMOUS TWO-PERIODIC GUMOVSKI–MIRA DIFFERENCE EQUATIONS | 2013-03-05 | Paper |
| Centers for trigonometric Abel equations | 2013-02-05 | Paper |
| A simple solution of some composition conjectures for Abel equations | 2012-12-20 | Paper |
| A theoretical basis for the Harmonic Balance Method | 2012-11-22 | Paper |
| Periodic orbits for perturbed non-autonomous differential equations | 2012-10-26 | Paper |
| On Coxeter recurrences | 2012-10-19 | Paper |
| Limit cycles for two families of cubic systems | 2012-10-11 | Paper |
| Simple examples of planar involutions with non-global Montgomery-Bochner linearizations | 2012-10-11 | Paper |
| Upper bounds for the number of zeroes for some abelian integrals | 2012-07-16 | Paper |
| On 2- and 3-periodic Lyness difference equations | 2012-07-04 | Paper |
| Global linearization of periodic difference equations | 2012-05-11 | Paper |
| Rational periodic sequences for the Lyness recurrence | 2012-03-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3110155 | 2012-01-26 | Paper |
| On the Chebyshev property for a new family of functions | 2012-01-04 | Paper |
| A new Chebyshev family with applications to Abel equations | 2011-12-14 | Paper |
| Limit cycles appearing from the perturbation of a system with a multiple line of critical points | 2011-11-03 | Paper |
| New periodic recurrences with applications | 2011-07-18 | Paper |
| One-dimensional quaternion homogeneous polynomial differential equations | 2011-01-24 | Paper |
| Some results on homoclinic and heteroclinic connections in planar systems | 2011-01-20 | Paper |
| Chini equations and isochronous centers in three-dimensional differential systems | 2010-12-14 | Paper |
| Cyclicity versus center problem | 2010-12-14 | Paper |
| On Poncelet's maps | 2010-12-14 | Paper |
| On the number of critical periods for planar polynomial systems of arbitrary degree | 2010-07-19 | Paper |
| Topological classification of polynomial complex differential equations with all the critical points of centre type | 2010-06-24 | Paper |
| A note on the period function for certain planar vector fields | 2010-06-24 | Paper |
| Upper bounds for the number of limit cycles of some planar polynomial differential systems | 2010-05-06 | Paper |
| Absolute cyclicity, Lyapunov quantities and center conditions | 2010-03-10 | Paper |
| On persistent centers | 2009-09-29 | Paper |
| New criteria for the existence and non-existence of limit cycles in Liénard differential systems | 2009-07-16 | Paper |
| Configurations of critical points in complex polynomial differential equations | 2009-06-24 | Paper |
| Bifurcation of limit cycles from a polynomial non-global center | 2008-12-01 | Paper |
| On the stability of periodic orbits for differential systems in \(\mathbb{R}^n\) | 2008-10-30 | Paper |
| On the number of critical periods for planar polynomial systems | 2008-09-10 | Paper |
| Some properties of thek-dimensional Lyness' map | 2008-08-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3514477 | 2008-07-21 | Paper |
| DYNAMICS OF SOME RATIONAL DISCRETE DYNAMICAL SYSTEMS VIA INVARIANTS | 2008-07-02 | Paper |
| Bifurcation of critical periods from the rigid quadratic isochronous vector field | 2008-05-29 | Paper |
| Lower bounds for the number of limit cycles of trigonometric Abel equations | 2008-04-15 | Paper |
| Simultaneous bifurcation of limit cycles from two nests of periodic orbits | 2008-03-31 | Paper |
| On a criterium of global attraction for discrete dynamical systems | 2008-03-06 | Paper |
| Studying discrete dynamical systems through differential equations | 2008-02-26 | Paper |
| On the critical periods of perturbed isochronous centers | 2008-02-26 | Paper |
| Limit cycles for cubic systems with a symmetry of order 4 and without infinite critical points | 2008-01-23 | Paper |
| On the number of limit cycles of some systems on the cylinder | 2007-12-14 | Paper |
| Dynamics of the third order Lyness' difference equation | 2007-10-24 | Paper |
| Limit cycles and Lie symmetries | 2007-09-21 | Paper |
| Multiplicity of limit cycles and analytic \(m\)-solutions for planar differential systems | 2007-09-19 | Paper |
| A new approach to the computation of the Lyapunov constants | 2007-09-19 | Paper |
| Characterizing asymptotic stability with Dulac functions | 2007-09-05 | Paper |
| Local and global phase portrait of equation \(\dot z=f(z)\) | 2007-08-01 | Paper |
| Upper bounds for the number of limit cycles through linear differential equations | 2007-07-20 | Paper |
| LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS | 2007-07-13 | Paper |
| The third order Melnikov function of a quadratic center under quadratic perturbations | 2007-05-04 | Paper |
| A new uniqueness criterion for the number of periodic orbits of Abel equations | 2007-03-12 | Paper |
| On the number of limit cycles bifurcating from a non-global degenerated center | 2007-02-26 | Paper |
| Explicit non-algebraic limit cycles for polynomial systems | 2007-01-22 | Paper |
| Periodic orbits in complex Abel equations | 2007-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5394861 | 2006-11-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5394864 | 2006-11-01 | Paper |
| Global periodicity and complete integrability of discrete dynamical systems | 2006-09-25 | Paper |
| THE CENTER PROBLEM FOR DISCONTINUOUS LIÉNARD DIFFERENTIAL EQUATION | 2006-06-23 | Paper |
| On the period function for a family of complex differential equations | 2006-06-09 | Paper |
| Generating limit cycles from a nilpotent critical point via normal forms | 2006-04-28 | Paper |
| MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS | 2005-11-01 | Paper |
| On the period of the limit cycles appearing in one-parameter bifurcations | 2005-08-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3025493 | 2005-07-15 | Paper |
| The period function for second-order quadratic ODEs is monotone | 2005-05-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4670219 | 2005-04-18 | Paper |
| Limit cycles for rigid cubic systems | 2005-04-07 | Paper |
| Center-Focus Problem for Discontinuous Planar Differential Equations | 2005-03-08 | Paper |
| Exact number of limit cycles for a family of rigid systems | 2004-12-01 | Paper |
| First derivative of the period function with applications | 2004-10-04 | Paper |
| A characterization of isochronous centres in terms of symmetries. | 2004-09-28 | Paper |
| On Periodic Rational Difference Equations of Orderk | 2004-09-28 | Paper |
| A new algorithm for the computation of the Lyapunov constants for some degenerated critical points. | 2004-08-26 | Paper |
| Period function for perturbed isochronous centres. | 2003-12-09 | Paper |
| A relation between small amplitude and big limit cycles. | 2003-12-03 | Paper |
| A Darboux-type Theory of Integrability for Discrete Dynamical Systems | 2003-06-20 | Paper |
| A new criterion for controlling the number of limit cycles of some generalized Liénard equations | 2003-03-18 | Paper |
| Chebyshev property of complete elliptic integrals and its application to Abelian integrals. | 2002-10-22 | Paper |
| Monodromy and stability of a class of degenerate planar critical points | 2002-09-08 | Paper |
| Period function for a class of Hamiltonian systems | 2002-08-28 | Paper |
| Stability of certain planar unbounded polycycles | 2002-07-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4521645 | 2002-05-28 | Paper |
| Phase portrait of Hamiltonian systems with homogeneous nonlinearities | 2001-07-17 | Paper |
| A note on LaSalle's problems | 2001-07-09 | Paper |
| Small-amplitude limit cycles in Liénard systems via multiplicity | 2000-11-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4496966 | 2000-08-21 | Paper |
| Center-focus and isochronous center problems for discontinuous differential equations. | 2000-08-16 | Paper |
| The focus-centre problem for a type of degenerate system | 2000-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4948950 | 2000-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4948951 | 2000-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4948974 | 2000-04-27 | Paper |
| Euler-Jacobian formula for double points and applications to quadratic and cubic systems | 1999-12-06 | Paper |
| Center problem for several differential equations via Cherkas' method | 1999-12-05 | Paper |
| An Analytic-Numerical Method for Computation of the Liapunov and Period Constants Derived from Their Algebraic Structure | 1999-11-22 | Paper |
| On the Relation between Index and Multiplicity | 1999-09-23 | Paper |
| The discrete Markus–Yamabe problem | 1999-08-25 | Paper |
| Algebraic properties of the Lyapunov and period constants | 1999-05-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4394773 | 1999-04-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4232726 | 1999-03-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4394770 | 1999-01-26 | Paper |
| Limit cycles for nonsmooth differential equations via Schwarzian derivative | 1998-11-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4394629 | 1998-08-18 | Paper |
| The period function for Hamiltonian systems with homogeneous nonlinearities | 1998-08-02 | Paper |
| An explicit expression of the first Lyapunov and period constants with applications | 1998-03-12 | Paper |
| A polynomial counterexample to the Markus-Yamabe conjecture | 1998-01-28 | Paper |
| Limit cycles in the Holling-Tanner model | 1998-01-06 | Paper |
| Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations | 1997-11-25 | Paper |
| Effective computation of the first Lyapunov quantities for a planar differential equation | 1997-11-17 | Paper |
| Limit cycles for vector fields with homogeneous components | 1997-10-26 | Paper |
| A polynomial class of Markus-Yamabe counterexamples | 1997-10-23 | Paper |
| Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields | 1997-09-18 | Paper |
| On quadratic systems with a degenerate critical point | 1997-02-03 | Paper |
| Quadratic and cubic systems with degenerate infinity | 1996-11-26 | Paper |
| Injectivity of polynomial local homeomorphisms of Rn | 1996-09-03 | Paper |
| Study of perturbed Lotka-Volterra systems via Abelian integrals | 1996-07-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4848535 | 1996-04-01 | Paper |
| Cyclicity of a family of vector fields | 1996-03-31 | Paper |
| Some Applications of the Euler-Jacobi Formula to Differential Equations | 1994-05-15 | Paper |
| On polynomial Hamiltonian planar vector fields | 1994-04-28 | Paper |
| Global asymptotic stability of differential equations in the plane | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3198161 | 1990-01-01 | Paper |
| Limit Cycles for a Class of Abel Equations | 1990-01-01 | Paper |
| Uniqueness of limit cycles for a class of Lienard systems with applications | 1989-01-01 | Paper |
| Quadratic systems with a unique finite rest point | 1988-01-01 | Paper |
| On the Nonsingular Quadratic Differential Equations in the Plane | 1988-01-01 | Paper |
| Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\) | 1987-01-01 | Paper |
| Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\) | 1987-01-01 | Paper |
| Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3791496 | 1987-01-01 | Paper |
| Chordal quadratic systems | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3679528 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3682799 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3713217 | 1985-01-01 | Paper |