DESC 2023 - Seminar on
Differential Equations with Symbolic Computation
Seminar Program

Saturday September 16th, 2023

Time
8:00 Registration
8:30 - 8:40 Welcome
8:40 - 9:30 Session 1: Invited talk 1
Maoan Han - Bifurcation Theory of Limit Cycles by Higher Order Melnikov Functions and Applications
Chair: Jibin Li
9:30 - 10:20 Session 2: Invited talk 2
Dongmei Xiao - The Integrability and Global Dynamics of Kolmogorov Polynomial Differential Systems
Chair: Zhaosheng Feng
10:20 - 10:50 Break and Group Photo
Session 3: Chair: Chenqi Mou
10:50 - 11:20 Yun Tian - Small Limit Cycles in Some Trigonometric Systems
11:20 - 11:50 Brigita Ferčec - A Blow-up Method for Proving Integrability and Linearizability of Some Planar Polynomial Systems of Differential Equations
11:50 - 12:20 Shaoshi Chen - A Dynamical Aspect of Symbolic Summation
12:20 - 14:10 Lunch Break
14:10 - 15:00 Session 4: Invited talk 3
Valery Romanovski - Computation of Normal Forms of ODEs for Systems with Many Parameters
Chair: Dongmei Xiao
15:00 - 15:50 Session 5: Invited talk 4
Jaume Giné - Characterization of Degenerate Centers by its Complex Separatrices
Chair: Valery Romanovski
15:50 - 16:10 Break
Session 6: Chair: Wei Niu
16:10 - 16:40 Mateja Grašič - Invariants and Reversibility in Polynomial Systems of ODEs
16:40 - 17:10 Barbara Arcet - Integrability and Linearizability of 3-dimensional Quadratic Systems
17:10 - 17:40 Ruyong Feng - Specialization of Linear Differential Equations
18:00 - Reception Dinner

Sunday September 17th, 2023

Time
8:30 - 9:20 Session 7: Invited talk 5
Jibin Li - Bifurcations of Zq-equivariant Vector Fields and Possible Configurations of Limit Cycles
Chair: Maoan Han
9:20 - 10:10 Session 8: Invited talk 6
Weinian Zhang - Analysis of Enzyme-Catalyzed Reaction Model
Chair: Dongming Wang
10:10 - 10:30 Break
Session 9: Chair: Brigita Ferčec
10:30 - 11:00 Alexander Grin - Construction of a Global Algebraic Poincaré - Bendixson Annulus for the Rayleigh Equation
11:00 - 11:30 Hebai Chen - Global Phase Portraits of Generalized Polynomial Liénard System with a Unique Equilibrium and Periodic Annulus
11:30 - 12:00 Bo Huang - Algebraic Analysis of Zero-Hopf Bifurcations of Polynomial Differential Systems
12:00 - 14:00 Lunch Break
14:00 - 14:50 Session 10: Invited talk 7
Zhaosheng Feng - Bounded Wave Solutions of KdV-Burgers-type Equations
Chair: Wentao Huang
14:50 - 15:40 Session 11: Invited talk 8
Wentao Huang - Algorithms of Periodic Constants and Their Applications
Chair: Valery Romanovski
15:40 - 16:00 Break
Session 12: Chair: Bo Huang
16:00 - 16:30 Xingwu Chen - Persistent Center of Planar Differential Systems
16:30 - 17:00 Feng Li - Singular Value of Three-Multiple Nilpotent Singular Point
17:00 - 17:30 Xiaoxian Tang - Structural Attractiveness of Low-Dimensional Zero-One Networks
17:30 - 17:40 Closing