H. Koch

发表

A computer-assisted proof of universality for area-preserving maps

J. Eckmann, H. Koch, P. Wittwer, 1984 .

Existence and stability of traveling pulse solutions of the FitzHugh–Nagumo equation

H. Koch, G. Arioli, 2015 .

Some rigorous results on the Hopfield neural network model

H. Koch, J. Piasko, 1989 .

Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions

F. Gazzola, H. Koch, G. Arioli, 2021, Journal of Mathematical Fluid Mechanics.

A Hopf Bifurcation in the Planar Navier–Stokes Equations

H. Koch, G. Arioli, 2020, 2009.12762.

A renormalization group approach to quasiperiodic motion with Brjuno frequencies

H. Koch, S. Kocić, 2009, Ergodic Theory and Dynamical Systems.

Renormalization of vector fields and Diophantine invariant tori

H. Koch, S. Kocić, 2008, Ergodic Theory and Dynamical Systems.

Period doubling in area-preserving maps: an associated one-dimensional problem

H. Koch, D. Gaidashev, 2008, Ergodic Theory and Dynamical Systems.

Renormalization of Vector Fields

H. Koch, 2006 .

On the renormalization of Hamiltonian flows, and critical invariant tori

H. Koch, 2002 .

Spectral stability for the wave equation with periodic forcing

H. Koch, G. Arioli, 2018, Journal of Differential Equations.

On hyperbolicity in the renormalization of near-critical area-preserving maps

H. Koch, 2016 .

Some symmetric boundary value problems and non-symmetric solutions

H. Koch, G. Arioli, 2015 .

The Critical Renormalization Fixed Point for Commuting Pairs of Area-Preserving Maps

H. Koch, G. Arioli, 2010 .

Non-radial solutions for some semilinear elliptic equations on the disk

H. Koch, G. Arioli, 2019, Nonlinear Analysis.

Validated numerical solutions for some semilinear elliptic equations on the disk

H. Koch, G. Arioli, 2017, 1712.08030.

Validated numerical solutions for a semilinear elliptic equation on some topological annuli in the plane

H. Koch, G. Arioli, 2022 .

Some Breathers and Multi-breathers for FPU-Type Chains

H. Koch, G. Arioli, 2019, Communications in Mathematical Physics.

Most stable structure for hard spheres.

C. Radin, H. Koch, L. Sadun, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Universal supercritical behavior for some skew-product maps

H. Koch, 2022, Discrete and Continuous Dynamical Systems.

Flow patterns of giant resonances in the first- and zero-sound approximation

H. Koch, G. Holzwarth, B. Schwesinger, 1982 .

A Homoclinic Solution for Excitation Waves on a Contractile Substratum

D. Ambrosi, Hans Koch, Gianni Arioli, 2012, SIAM J. Appl. Dyn. Syst..

A non-Gaussian renormalization group fixed point for hierarchical scalar lattice field theories

Peter Wittwer, Hans Koch, H. Koch, 1986 .

A free energy bound for the Hopfield model

H. Koch, 1993 .

Golden mean renormalization for the almost Mathieu operator and related skew products

H. Koch, 2019, Journal of Mathematical Physics.

Non-symmetric low-index solutions for a symmetric boundary value problem

H. Koch, G. Arioli, 2012 .

Period doubling bifurcations for families of maps on ℝn

Pierre Collet, Jean-Pierre Eckmann, J. Eckmann, 1981 .

Asymptotic scaling and universality for skew products with factors in SL(2, $\boldsymbol {\mathbb {R}}$ )

Hans Koch, H. Koch, 2021, Ergodic Theory and Dynamical Systems.

Computer-Assisted Proofs in Analysis and Programming in Logic: A case Study

Peter Wittwer, Hans Koch, Alain Schenkel, 1996, SIAM Rev..

Bounds on the zeros of a renormalization group fixed point.

Peter Wittwer, Hans Koch, H. Koch, 1995 .

Computing Bounds on Critical Indices

H. Koch, P. Wittwer, Peter Wittwer, 1988 .

A renormalization group fixed point associated with the breakup of golden invariant tori

Hans Koch, H. Koch, 2004 .

Computer-Assisted Methods for the Study of Stationary Solutions in Dissipative Systems, Applied to the Kuramoto–Sivashinski Equation

Gianni Arioli, Hans Koch, H. Koch, 2010 .

On universality for area-preserving maps of the plane

J. Eckmann, P. Collet, H. Koch, 1981 .

A renormalization group for Hamiltonians, with applications to KAM tori

Hans Koch, H. Koch, 1999, Ergodic Theory and Dynamical Systems.

Some Breathers and Multi-breathers for FPU-Type Chains

H. Koch, G. Arioli, 2018, Communications in Mathematical Physics.

Modelling Quasicrystals at Positive Temperature

C. Radin, H. Koch, 2009, 0910.5379.

On Hamiltonian flows whose orbits are straight lines

H. Koch, H. E. Lomel'i, 2013, 1304.3377.

Aubry-Mather theory for functions on lattices

R. Llave, C. Radin, H. Koch, 1996 .

A renormalization approach to lower-dimensional tori with Brjuno frequency vectors

H. Koch, S. Kocić, 2010 .

A nontrivial Renormalization Group fixed point for the Dyson-Baker hierarchical model

Peter Wittwer, Hans Koch, H. Koch, 1994 .

On the renormalization group transformation for scalar hierarchical models

H. Koch, Peter Wittwer, 1991 .

Existence of a fixed point of the doubling transformation for area-preserving maps of the plane

Jean-Pierre Eckmann, Peter Wittwer, Hans Koch, 1982 .

Existence of critical invariant tori

H. Koch, 2008, Ergodic Theory and Dynamical Systems.

Renormalization Group Analysis for Dynamical Systems

P. Collet, H. Koch, 1983 .

A Renormalization Group for Hamiltonians: Numerical Results

Juan J. Abad, H. Koch, Peter Wittwer, 1998, chao-dyn/9804030.

Universality for the breakup of invariant tori in Hamiltonian flows

H. Koch, H. Jauslin, M. Govin, 1998, chao-dyn/9802023.

Renormalization and Periodic Orbits¶for Hamiltonian Flows

Juan J. Abad, H. Koch, 2000 .

Renormalization and universality of the Hofstadter spectrum

H. Koch, S. Kocić, 2019, Nonlinearity.

2 0 N ov 2 01 9 Renormalization and universality of the Hofstadter spectrum

H. Koch, S. Kocić, 2019 .