Limit Cycles in Chemistry

Bellaterra, December 9-12, 2025

• Welcome
• Committees
• Schedule
• Talks
• Participants
• Group Picture
• Venue & Deadlines
• Sponsors
• Contact

Talks

Talks

• "Application of polynomial and topological invariants to the study of phase portraits of quadratic systems. The birth of an Encyclopedia on quadratic phase portraits" by Joan C. Artés (Universitat Autònoma de Barcelona, Spain)
• "Oscillations in quadratic mass-action differential equations" by Balázs Boros  (University of Szeged, Szeged, Hungary)
• "Introduction to the mathematical theory of (chemical) reaction systems-I&II" by Gheorghe Craciun (University of Wisconsin-Madison, Madison, WI, United States)
• "Planar and non-planar chemical systems with algebraic and non-algebraic limit cycles" by Radek Erban (University of Oxford, Oxford, United Kingdom)
• "Limit cycles for ODE with few complex monomials with emphasis  on quadratic systems" by Armengol Gasull (Universitat Autònoma de Barcelona, Spain)
• "Limit cycles in Lotka-Volterra systems" by Josef Hofbauer (University Vienna, Vienna, Austria)
• "Global stability of planar vector fields" by Luis F. Mello (Universidade Federal de Itajubá, Brazil)
• "Mapping dynamical systems into chemical reactions" by Tomislav Plesa (University of Cambridge, Cambridge, United Kingdom)
• "How period functions behave: three criteria and examples from planar centers" by David Rojas (Universitat Autònoma de Barcelona, Spain)
• "Lower bounds for the Hilbert numbers for small degrees" by Joan Torregrosa (Universitat Autònoma de Barcelona - Centre de Recerca Matemàtica, Spain)
• "On the period function in a generalized Lotka-Volterra system with real exponents" by Jordi Villadelprat (Universitat Autònoma de Barcelona, Spain)

Posters

• "A result on k-hyperbolicity and period-doubling bifurcation" by Gean Franco Acuña de la Cruz (Universidade Estadual Paulista, Presidente Prudente, Brazil)
• "The palomba economic model within the framework of piecewise-smooth Kolmogorov systems” by Yagor R. Carvalho (Universitat Autònoma de Barcelona, Spain)
• "Global dynamics of a cubic resource-consumer model" by Teodoro Mayayo (Universitat Autònoma de Barcelona, Spain)
• "Limit cycles and invariant algebraic curves" by Paulo Santana (Universidade Estadual Paulista, Sao José do Rio Preto, Brazil)

The book of abstracts can be downloaded from here. The order of the abstracts follows the ordef fixed by the schedule.