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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linked periodic orbits of disc homeomorphisms
圆盘同胚 连锁 周期轨道
2023/5/8
In 1990, Gambaudo introduced the notion of linking of two invariant sets of a surface self-map. Most of the known results of linked periodic orbits are about an orbit linked with a fixed point. In thi...
Bohr and Besicovitch almost periodic discrete sets and quasicrystals
Bohr and Besicovitch almost periodic discrete sets quasicrystals
2010/11/23
A discrete set $A$ in the Euclidian space is almost periodic if the measure with the unite masses at points of the set is almost periodic in the weak sense. We investigate properties of such sets in ...
Response solutions for arbitrary quasi-periodic perturbations with Bryuno frequency vector
quasi-periodic perturbations Bryuno frequency vector
2010/11/9
We study the problem of existence of response solutions for a real-analytic one-dimensional system, consisting of a rotator subjected to a small quasi-periodic forcing. We prove that at least one res...
Almost reducibility for finitely differentiable SL(2,R)-valued quasi-periodic cocycles
reducibility finitely differentiable SL(2,R)-valued quasi-periodic cocycles
2010/11/12
Quasi-periodic cocycles with a diophantine frequency and with values in SL(2,R) are shown to be almost reducible as long as they are close enough to a constant, in the topology of k times differentia...
Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications
Schrö dinger equations 4d applications
2010/11/9
We consider the energy critical nonlinear Schr\"odinger equation on periodic domains of the form R^m x T^{4-m} with m=0,1,2,3. Assuming that a certain L^4 Strichartz estimate holds for solutions to t...
Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos
Probability densities sine-circle map chaos
2010/4/1
We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergodic), standard Centr...
Periodic-orbit analysis and scaling laws of intermingled basins of attraction in an ecological dynamical system
Periodic-orbit analysis scaling laws ecological dynamical system
2010/4/7
Chaotic dynamical systems with two or more attractors lying on invariant subspaces may, provided certain mathematical conditions are fulfilled, exhibit intermingled basins of attraction: Each basin is...