Organizer: Grupo de Sistemas Dinámicos de la Universidad de Oviedo
Abstract
Results related to population dynamics, neuroscience, fluid mechanics and celestial mechanics are presented. They are examples of the variety of contexts showing a fruitful interaction with the world of dynamical systems. In addition, attention is paid to aspects of Qualitative Theory, from the study of bifurcations to the determinacy of the number of limit cycles exhibited by a differential system, including issues of integrability and global dynamics. This minisymposium offers broad strokes to illustrate the vitality of the research on dynamical systems in our country; 20 years of activities of the DANCE network also give evidence of a great strength.
Keywords: Bifurcation Theory; Applied Dynamical Systems; Global Dynamics
Session 1. Monday 11:30 – 13:35. Room A2.
Chair: Fernández-Sánchez, Fernando (Universidad de Sevilla)
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Speaker |
Organization |
Contribution title |
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Ibáñez, Santiago |
Universidad de Oviedo |
Self-sustained oscillations and global climate changes |
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Drubi, Fátima |
Universidad de Oviedo |
A study of the unfolding of Hopf-Bogdanov-Takens singularities |
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Rodrigues, Alexandre |
Centro de Matemática da Universidade do Porto |
Unfolding a Bykov attractor: from an attracting torus to strange attractors |
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Casas, Pablo S. |
Universidad de Oviedo |
Homoclinic bifurcations in the unfolding of the nilpotent singularity of codimension 4 in ℝ⁴ |
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Session 2. Monday 18:00 – 20:00. Room A2.
Chair: Teruel, Antonio (Universitat de les Illes Balears)
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Speaker |
Organization |
Contribution title |
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Seara, Tere M. |
Universitat Politècnica de Catalunya |
Some results about oscillatory orbits |
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Fernández-Sánchez, Fernando |
Universidad de Sevilla |
The Falkner-Skan equation revisited |
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Fernández-García, Soledad |
Universidad de Sevilla |
Saddle-node bifurcation of canard limit cycles in piecewise linear systems |
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Carmona, Victoriano |
Universidad de Sevilla |
Uniqueness of limit cycles in sewing planar piecewise linear systems |
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Session 3. Tuesday 10:30 – 12:10. Room A2.
Chair: Liz, Eduardo (Universidade de Vigo)
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Speaker |
Organization |
Contribution title |
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Bravo, José Luis |
Universidad de Extremadura |
Alien limit cycles in Abel equations |
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Calderón Pérez, Luis Ángel |
Universidad de Extremadura |
Upper bounds of limit cycles in Abel differential equations with invariant curves |
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Pérez-González, Set |
Universidad de Oviedo |
Limit cycles in piecewise linear vector fields having polynomial first integral |
Session 4. Tuesday 12:15 – 13:55. Room A2.
Chair: Bravo, José Luis (Universidad de Extremadura)
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Speaker |
Organization |
Contribution title |
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Martínez, M. Ángeles |
Universidad de Zaragoza |
Dynamical systems and cardiac arrhythmia |
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Pérez, Lucía |
Universidad de Oviedo |
The Hindmarsh-Rose neuron model: Global homoclinic structure and spike-adding process |
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Rodero, Ana Livia |
Universidade Estadual Paulista |
Centers and their cyclicity for linear and quadratic systems defined on with as a first integral |
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Session 5. Tuesday 18:00 – 20:00. Room A2.
Chair: Rodríguez, J. Ángel (Universidad de Oviedo)
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Speaker |
Organization |
Contribution title |
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Peralta-Salas, Daniel |
Instituto de Ciencias Matemáticas |
Constructing Turing complete Euler flows in dimension 3 |
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Núñez, Carmen |
Universidad de Valladolid |
R-tipping and saddle-node bifurcation for quadratic nonautonomous ODEs |
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Liz, Eduardo |
Universidade de Vigo |
Destabilization and chaos induced by harvesting in discrete-time population models |
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Session 6. Wednesday 10:55 – 12:10. Room A2.
Chair: Ollé, Mercè (Universitat Politècnica de Catalunya)
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Speaker |
Organization |
Contribution title |
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Palacián, Jesús |
Universidad Pública de Navarra |
Nonlinear stability of Hamiltonian systems with more than two degrees of freedom: the case of the levitron |
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Yanguas, Patricia |
Universidad Pública de Navarra |
The co-orbital motion of two Saturn’s moons |
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Lanchares, Victor |
Universidad de la Rioja |
Stability of a one degree of freedom Hamiltonian system in a case of zero quadratic and cubic terms |
Session 7. Thursday 11:30 – 13:35. Room A2.
Chair: Núñez, Carmen (Universidad de Valladolid)
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Speaker |
Organization |
Contribution title |
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Ollé, Mercè |
Universitat Politècnica de Catalunya |
Ejection-collision orbits in two degrees of freedom problems |
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Nicolás, Begoña |
Universitat de Barcelona |
Invariant manifolds near and their role in the Sun perturbed Earth-Moon system |
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Paradela, Jaime |
Universitat Politècnica de Catalunya |
Oscillatory motions in the Elliptic Isosceles Restricted 3-Body Problem |
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Giralt, Mar |
Universitat Politècnica de Catalunya |
Exponentially small splitting of separatrices for in the restricted 3-body problem |
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Session 8. Thursday 18:00 – 20:00. Room A2.
Chair: Drubi, Fátima (Universidad de Oviedo)
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Speaker |
Organization |
Contribution title |
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Rodríguez del Río, Óscar |
Universitat Poliècnica de Catalunya |
Regularization techniques and ejection-collision orbits in the RTBP |
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Duarte, Gladston |
Universitat de Barcelona |
Invariant manifolds near and in the planar elliptic restricted three-body problem |
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Lois-Prados, Cristina |
Universidade de Santiago de Compostela |
Complex dynamics in discrete- time piecewise-smooth models for populations subject to combinations of constant-quota and threshold harvesting |
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Lombardero, Antón |
Universidad de Oviedo |
Quasi-homogeneous differential systems in R3 |
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Session 9. Friday 11:30 – 13:10. Room A2.
Chair: Carmona, Victoriano (Universidad de Sevilla)
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Speaker |
Organization |
Contribution title |
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Penalva, Jordi |
Universitat de les Illes Balears |
Bifurcations in a piecewise linear version of the Morris-Lecar neural model |
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Vigil, Enrique |
Universidad de Oviedo |
Coexistence of finitely many two-dimensional strange attractors: renormalization scheme and analytic proof |
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Teruel, Antonio |
Universitat de les Illes Balears |
Poincaré maps in slow-fast piecewise linear differential systems |
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