Research graph
References from Identification of topological information from orbits in area-preserving maps. Local targets link to admitted publications; unresolved targets remain external evidence.
Enhanced visualization and autonomous extraction of Poincaré map topology
10.1007/s40295-015-0042-4 · 2014 · External reference
Analytical investigation of an isomerization system using the resonance overlap criterion
10.1093/ptep/ptw122 · 2016 · External reference
Evaluation of the structure of ergodic fields
10.1063/1.864289 · 1983 · External reference
What is a stellarator?
10.1063/1.872833 · 1998 · External reference
Physics of magnetically confined plasmas
10.1103/revmodphys.76.1071 · 2005 · External reference
Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
10.1070/rm1963v018n05abeh004130 · 1963 · External reference
Proof of Poincare’s geometric theorem
10.1090/s0002-9947-1913-1500933-9 · 1913 · External reference
Proof of the Poincaré-Birkhoff fixed point theorem
10.1307/mmj/1029001816 · 1977 · External reference
Statistics of the island-around-island hierarchy in Hamiltonian phase space
10.1103/physreve.90.062923 · 2014 · External reference
Fat fractals on the energy surface
10.1103/physrevlett.55.661 · 1985 · External reference
Symplectic maps, variational principles, and transport
10.1103/revmodphys.64.795 · 1992 · External reference
Thirty years of turnstiles and transport
10.1063/1.4915831 · 2015 · External reference
A method for determining a stochastic transition
10.1063/1.524170 · 1979 · External reference
The large helical device (LHD) helical divertor
10.1088/0029-5515/34/3/i07 · 1994 · External reference
Simulation of stellarator divertors
10.1063/1.5042666 · 2018 · External reference
10.1088/1741-4326/aea176
10.1088/1741-4326/aea176 · External reference
Statistical analysis of the helical magnetic fields
1998 · External reference
Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Part 1: Theory
10.1007/bf02128236 · 1980 · External reference
‘Stickiness’ in mappings and dynamical systems
10.1016/s0032-0633(97)00203-1 · 1998 · External reference
Detecting order and chaos in Hamiltonian systems by the SALI method
10.1088/0305-4470/37/24/006 · 2004 · External reference
Characterizing weak chaos in nonintegrable Hamiltonian systems: The fundamental role of stickiness and initial conditions
10.1016/j.physa.2014.01.021 · 2014 · External reference
Using rotation number to detect sticky orbits in Hamiltonian systems
10.1063/1.5078533 · 2019 · External reference
Stickiness in generic low-dimensional Hamiltonian systems: A recurrence-time statistics approach
10.1103/physreve.101.052204 · 2020 · External reference
Graph-based methods for orbit classification
2006 · External reference
Identification of magnetic islands in optimized configuration
10.1585/pfr.18.1403018 · 2023 · External reference
Visualization of topological structures in area-preserving maps
10.1109/tvcg.2011.254 · 2011 · External reference
The topology of non-resonant stellarator divertors
10.1088/1741-4326/addb5d · 2025 · External reference
Birkhoff averages and rotational invariant circles for area-preserving maps
10.1016/j.physd.2020.132569 · 2020 · External reference
Analysis of recurrent patterns in Toroidal magnetic fields
10.1109/tvcg.2010.133 · 2010 · External reference
FLARE: Field line analysis and reconstruction for 3D boundary plasma modeling
10.1088/1741-4326/ad7303 · 2024 · External reference
Class renormalization: Islands around islands
10.1103/physreva.34.2375 · 1986 · External reference
Unified theory of ghost and quadratic-flux-minimizing surfaces
2010 · External reference
Calculation of three-dimensional MHD equilibria with islands and stochastic regions
10.1016/0010-4655(86)90059-7 · 1986 · External reference
Calculating rotational transform following field lines
10.1585/jspf.79.321 · 2003 · External reference
Establishment of magnetic coordinates for a given magnetic field
10.1063/1.863765 · 1982 · External reference
Observation of a strange attractor
10.1016/0167-2789(83)90323-8 · 1983 · External reference
Visual explorations of dynamics: The standard map
10.1007/s12043-008-0103-3 · 2008 · External reference
Rotation interval from a time series
10.1088/0305-4470/20/3/020 · 1987 · External reference
A method for accurate computation of the rotation and the twist numbers of invariant circles
10.1016/s0167-2789(01)00299-8 · 2001 · External reference
Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
10.1016/0167-2789(93)90210-r · 1993 · External reference
Extension of stellarator approximation in magnetohydrodynamic equilibrium and stability of Toroidal helical systems
10.1143/jpsj.58.3979 · 1989 · External reference
Exponential characteristics of power spectral densities caused by chaotic phenomena
10.1143/jpsj.64.1104 · 1995 · External reference
Origin of Lorentzian pulses in deterministic chaos
10.1103/physreve.86.015401 · 2012 · External reference
Study of a helical axis Heliotron
10.1088/0029-5515/40/3y/318 · 2000 · External reference
First plasmas in Heliotron J
10.1088/0029-5515/41/7/305 · 2001 · External reference
