| Publication | Date of Publication | Type |
|---|
| Number of limit cycles for planar systems with invariant algebraic curves | 2023-02-20 | Paper |
| Number of limit cycles for planar systems with invariant algebraic curves | 2022-10-27 | Paper |
| Inflationary models that generalize the constant roll constraint | 2022-04-01 | Paper |
| Solving polynomials with ordinary differential equations | 2021-11-23 | Paper |
| Effectiveness of the Bendixson-Dulac theorem | 2021-11-09 | Paper |
| EFFECTIVE CONSTRUCTION OF POINCARÉ-BENDIXSON REGIONS | 2020-09-15 | Paper |
| A new approach for the study of limit cycles | 2020-06-02 | Paper |
| Periodic analytic approximate solutions for the Mathieu equation | 2019-03-22 | Paper |
| Analytic nilpotent centers as limits of nondegenerate centers revisited | 2016-05-04 | Paper |
| Proving the existence of numerically detected planar limit cycles | 2016-01-30 | Paper |
| Explicit travelling waves and invariant algebraic curves | 2015-07-27 | Paper |
| Transversal conics and the existence of limit cycles | 2015-05-26 | Paper |
| Bifurcation diagram and stability for a one-parameter family of planar vector fields | 2015-03-27 | Paper |
| Bifurcation values for a family of planar vector fields of degree five | 2014-12-08 | Paper |
| Some Applications of the Extended Bendixson-Dulac Theorem | 2014-08-08 | Paper |
| A proof of Perko's conjectures for the Bogdanov-Takens system | 2014-02-13 | Paper |
| Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations | 2013-11-11 | Paper |
| Generalized Hopf bifurcation for planar vector fields via the inverse integrating factor | 2011-06-28 | Paper |
| A new dynamical approach of Emden-Fowler equations and systems | 2011-06-14 | Paper |
| Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems | 2011-05-03 | Paper |
| Some results on homoclinic and heteroclinic connections in planar systems | 2011-01-20 | Paper |
| A new algorithm for finding rational first integrals of polynomial vector fields | 2010-12-14 | Paper |
| The inverse integrating factor and the Poincaré map | 2010-07-02 | Paper |
| Analytical approximation schemes for solving exact renormalization group equations. II: Conformal mappings | 2010-06-23 | Paper |
| Upper bounds for the number of limit cycles of some planar polynomial differential systems | 2010-05-06 | Paper |
| New criteria for the existence and non-existence of limit cycles in Liénard differential systems | 2009-07-16 | Paper |
| On the stability of periodic orbits for differential systems in \(\mathbb{R}^n\) | 2008-10-30 | Paper |
| Linearizable planar differential systems via the inverse integrating factor | 2008-05-19 | Paper |
| Integrability of planar polynomial differential systems through linear differential equations | 2008-03-14 | Paper |
| Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation | 2007-11-26 | Paper |
| The role of algebraic solutions in planar polynomial differential systems | 2007-11-22 | Paper |
| Linearizable ordinary differential equations | 2007-10-26 | Paper |
| Finding gaps in a spectrum | 2007-10-19 | Paper |
| Upper bounds for the number of limit cycles through linear differential equations | 2007-07-20 | Paper |
| An analytical approximation scheme to two-point boundary value problems of ordinary differential equations | 2007-03-16 | Paper |
| A new uniqueness criterion for the number of periodic orbits of Abel equations | 2007-03-12 | Paper |
| An algorithmic method to determine integrability for polynomial planar vector fields | 2007-02-07 | Paper |
| Explicit non-algebraic limit cycles for polynomial systems | 2007-01-22 | Paper |
| A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle | 2006-11-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5394860 | 2006-11-01 | 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 |
| Qualitative dynamical properties of a phantom field with an arbitrary potential | 2006-03-21 | Paper |
| Inverse Jacobi multipliers | 2005-10-20 | Paper |
| Liouvillian first integrals for the planar Lotka-Volterra system | 2005-10-20 | Paper |
| Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems | 2005-08-22 | Paper |
| Greatest least eigenvalue of the Laplacian on the Klein bottle | 2005-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4660502 | 2005-04-04 | Paper |
| SEMISTABLE LIMIT CYCLES THAT BIFURCATE FROM CENTERS | 2005-03-08 | Paper |
| On the vanishing set of inverse integrating factors | 2004-03-04 | Paper |
| Darboux integrability and the inverse integrating factor. | 2003-11-16 | Paper |
| Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor | 2003-05-19 | Paper |
| A new criterion for controlling the number of limit cycles of some generalized Liénard equations | 2003-03-18 | Paper |
| The shape of limit cycles that bifurcate from non-Hamiltonian centers | 2002-11-25 | Paper |
| Uniqueness of algebraic limit cycles for quadratic systems | 2002-10-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2717966 | 2001-07-26 | Paper |
| On the shape of limit cycles that bifurcate from Hamiltonian centers | 2001-01-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4524884 | 2001-01-15 | 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 |
| Algebraic approximations to bifurcation curves of limit cycles for the Liénard equation | 2000-03-08 | Paper |
| Integrals of motion and the shape of the attractor for the Lorenz model | 2000-03-07 | Paper |
| On a new type of bifurcation of limit cycles for a planar cubic system | 1999-08-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4394633 | 1998-12-06 | Paper |
| On the nonexistence, existence and uniqueness of limit cycles | 1998-03-05 | Paper |
| The null divergence factor | 1998-01-06 | Paper |
| Integrals of motion for three-dimensional non-Hamiltonian dynamical systems | 1992-08-13 | Paper |
| Invariants of particle motion in one-dimensional time-dependent potentials | 1990-01-01 | Paper |
| Integrable Hamiltonians with higher transcendental invariants | 1990-01-01 | Paper |
| Intertwining vectors and the connection between critical vertex and SOS models | 1989-01-01 | Paper |