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Mathematics

D-Index
34
Citations
4284
World Ranking
2936
National Ranking
64

Overview

Armengol Gasull is affiliated with the Autonomous University of Barcelona in Spain and has a research focus primarily in the field of Mathematics. Their work emphasizes advanced differential equations and dynamical systems, with significant contributions also touching quantum chaos and dynamical systems, mathematical dynamics and fractals, polynomial and algebraic computation, mathematical and theoretical epidemiology and ecology models, as well as numerical methods for differential equations.

Their publication record includes a number of papers across several notable venues. Frequently published outlets include:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Qualitative Theory of Dynamical Systems
  • SSRN Electronic Journal
  • Journal of Mathematical Analysis and Applications

Gasull's recent scholarly papers illustrate a focus on the qualitative and applied aspects of differential equations. Selected works include:

  • "A Note on the Lyapunov and Period Constants" (2020) in Qualitative Theory of Dynamical Systems
  • "Piecewise linear differential systems with an algebraic line of separation" (2020) in Electronic Journal of Differential Equations
  • "Effectiveness of the Bendixson-Dulac theorem" (2021) in Journal of Differential Equations
  • "A Chebyshev criterion with applications" (2020) in Journal of Differential Equations
  • "Three essays on Machin's type formulas" (2023) in Indagationes Mathematicae

Collaborations form a significant part of Gasull's research activities. Frequent co-authors include:

  • Francesc Mañosas
  • Anna Cima
  • Vı́ctor Mañosa
  • Héctor Giacomini
  • R. Prohens

The subfields within Mathematics where Gasull's contributions are most concentrated include:

  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics

The main topics of research cover diverse areas of mathematical inquiry:

  • Advanced Differential Equations and Dynamical Systems
  • Quantum chaos and dynamical systems
  • Mathematical Dynamics and Fractals
  • Polynomial and algebraic computation
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Numerical methods for differential equations
  • Mathematics and Applications

Best Publications

  • Degenerate hopf bifurcations in discontinuous planar systems

    B. Coll;A. Gasull;R. Prohens

  • Limit cycles for a class of Abel equations

    A. Gasull;J. Llibre

  • A polynomial counterexample to the Markus-Yamabe conjecture

    A. Cima;A. van den Essen;Armengol Gasull;Engelbert-Martijn Guillermo Mateo Hubbers

  • An Explicit Expression of the First Liapunov and Period Constants with Applications

    Armengol Gasull;Antoni Guillamon;Vı́ctor Mañosa

  • Center-Focus Problem for Discontinuous Planar Differential Equations

    Armengol Gasull;Joan Torregrosa

  • MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS

    M. J. Álvarez;Armengol Gasull

  • Algebraic Properties of the Liapunov and Period Constants

    Anna Cima;Armengol Gasull;Víctor Mañosa;Francesc Mañosas

  • Period Function for a Class of Hamiltonian Systems

    Anna Cima;Armengol Gasull;Francesc Mañosas

  • Generating limit cycles from a nilpotent critical point via normal forms

    M.J. Álvarez;A. Gasull

  • Limit cycles in the Holling-Tanner model

    Armengol Gasull;Robert E. Kooij;Joan Torregrosa

  • The discrete Markus-Yamabe problem

    Anna Cima;Armengol Gasull;Francesc Mañosas

  • Explicit non-algebraic limit cycles for polynomial systems

    A. Gasull;H. Giacomini;J. Torregrosa

  • The focus-centre problem for a type of degenerate system

    Armengol Gasull;Jaume Llibre;Víctor Mañosa;Francesc Mañosas

  • Small-Amplitude Limit Cycles in Liénard Systems via Multiplicity

    Armengol Gasull;Joan Torregrosa

  • A new uniqueness criterion for the number of periodic orbits of Abel equations

    M.J. Álvarez;A. Gasull;H. Giacomini

  • Differential equations defined by the sum of two quasi-homogeneous vector fields

    B. Coll;A. Gasull;R. Prohens

  • Chordal quadratic systems

    Armengol Gasull;Sheng Li-Ren;Jaume Llibre

  • First derivative of the period function with applications

    Emilio Freire;Armengol Gasull;Antoni Guillamon

  • Center Problem for Several Differential Equations via Cherkas' Method☆

    Armengol Gasull;Joan Torregrosa

  • LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS

    Armengol Gasull;Antoni Guillamon

Frequent Co-Authors

Jaume Llibre
Jaume Llibre Autonomous University of Barcelona
Jaume Giné
Jaume Giné University of Lleida
Martin Bohner
Martin Bohner Missouri University of Science and Technology

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