- 2022 - 2027 「かたち」と「うごき」を表す高次元データ記述子の開発
- 2022 - 2025 Singular limits in nearly integrable quantum systems and complex dynamical systems
- 2020 - 2025 Construction of new phase-parameter space correspondence for complex dynamics in dimension two
- 2019 - 2024 Bifurcation and renormalization of real and complex dynamical systems
- 2018 - 2023 Visualization of 4D space by VR and complex dynamics
- 2018 - 2023 On the creation of chaos in higher dimensions
- 2015 - 2020 Spectrum of transfer operators for hyperbolic dynamical systems
- 2013 - 2018 Dynamics of complex Henon maps: from dynamical space to parameter space
- 2013 - 2016 3D visualization of complex 2-dimensional dynamics
- 2009 - 2012 Dynamical studyof the parameter space for the complexHenon family
- 2009 - 2012 Dynamical Barrier and Quantum localization: Theory of Hamiltonian Dynamics with mixed phase space
- 2008 - 2012 Dynamics on algebraic varieties and Painleve equations
- 2008 - 2010 Multi-dimensional tunnelling and chaos in complexified phase space
- 2006 - 2009 Study of functional analytic methods in dynamical system theory
- 2006 - 2008 Complex dynamics on K3 surfaces as conservative systems
- 2005 - 2008 Topological and computational methods for dynamical systems basedon the theory of Conley index
- 2005 - 2008 Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
- 2003 - 2005 パンルヴェ第VI走方程式の非線型モノドロミーと複素離散力学系
- 2002 - 2004 二次元複素力学系のコンビナトリアルな研究
- 2002 - 2004 Topological and computational methods for chaos and global structure of dynamical systems
- 2002 - 2004 Bifurcation theoretical approach to chaotic dynamics and to systems with large degrees of freedom
- 2001 - 2004 Multidimensional Tunnelling Effect and Complexified Classical Dynamics
- 2000 - 2002 Global structure of dynamical systems and their bifurcations
- 1999 - 2000 二次元力学系のコンビナトリアルな研究
- 1998 - 2000 Analytical Problems of a Gaussian measure
- 量子トンネル現象
- 複素力学系
- 記号力学系
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