桐木 紳

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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