Kiriki Shin
- 教授
- 学位:博士(理学)
基本情報
所属
- Undergraduate School of Science / Department of Mathematics
- Graduate School of Science and Technology / Course of Science and Technology
ジャンル
- 数学
詳細情報
研究キーワード
- dynamical systems
- Hyperbolic/non-hyperbolic dynamical systems
研究分野
- Natural sciences Basic analysis dynamical systems
- Natural sciences Mathematical analysis
- Natural sciences Geometry
論文
Historic and physical wandering domains for wild blender-horseshoes
Emergence via non-existence of averages
Abundance of Observable Lyapunov Irregular Sets
Historic behavior in nonhyperbolic homoclinic classes
Historic behaviour for nonautonomous contraction mappings
Moduli of 3-dimensional diffeomorphisms with saddle-foci
Non-trivial wandering domains for heterodimensional cycles
Takens' last problem and existence of non-trivial wandering domains
GEOMETRIC LORENZ FLOWS WITH HISTORIC BEHAVIOR
Blenders in centre unstable Henon-like families: with an application to heterodimensional bifurcations
Existence of generic cubic homoclinic tangencies for Hénon maps
C-2-robust heterodimensional tangencies
Stabilization of heterodimensional cycles
Coexistence of invariant sets with and without SRB measures in Hénon family
Heterodimensional tangencies on cycles leading to strange attractors
Blender structures for a non-normally Hénon-like family
Persistent antimonotonic bifurcations and strange attractors for cubic homoclinic tangencies
Parameter-shifted shadowing property of Lozi maps
Forward limit sets of singularities for the Lozi family
An isolated saddle-node bifurcation occurring inside a horseshoe
講演・口頭発表等
- Historic and physical wandering domains for wild blender-horseshoes
- Historic wandering domains for wild blender-horseshoes
- Historic behavior in non-hyperbolic homoclinic classes
- Robust historic behavior of generic orbits for heterodimensional cycles
- Historic behavior for heterodimensional cycles
- C2-robust heterodimensional tangencies of codimension 2」
共同研究・競争的資金等の研究課題
Dynamical systems with observable Lyapunov irregular sets
Existence and persistence of historic wandering domains for high-dimensional dynamical systems
C^2-ROBUST HETERODIMENSIONAL TANGENCIES
Stabilization of heterodimensional cycles
Non-connected bifurcating cycles between equidimension and heterodimension
Coexistence of homoclinic sets with and without SRB measures in Hénon family
Heterodimensional tangencies on cycles leading to strange attractors
Persistent antimonotonic bifurcation and cubic strange attractors for degenerate homoclinic tangencies
The shadowing with parameter shift for Lozi/Lorenz family
Forward limit sets of singularities for the Lozi family
Geometric and topological rigidity theorem for 3-manifolds
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