Lipschitz inverse shadowing for nonsingular flows
Dynamical Systems
2013-03-01 v1
Authors:
Dmitry Todorov
Abstract
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stability.
Cite
@article{arxiv.1302.7035,
title = {Lipschitz inverse shadowing for nonsingular flows},
author = {Dmitry Todorov},
journal= {arXiv preprint arXiv:1302.7035},
year = {2013}
}
Comments
17 pages, 9 figures
Related papers
View all related →
Dynamical Systems · Mathematics
Lipschitz Shadowing for Flows
Kennet J. Palmer, Sergei Pilyugin, Sergey Tikhomirov
2011-03-17
Dynamical Systems · Mathematics
Lipschitz shadowing implies structural stability
Sergei Yu. Pilyugin, Sergey Tikhomirov
2010-10-19
Analysis of PDEs · Mathematics
Stability for an inverse flux and an inverse boundary coefficient problems
Mourad Choulli, Shuai Lu, Hiroshi Takase
2025-11-14
Analysis of PDEs · Mathematics
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar, O. Oukdach
2022-01-04
Dynamical Systems · Mathematics
Oriented and standard shadowing properties on closed surfaces
Sogo Murakami
2023-02-07
Dynamical Systems · Mathematics
Inverse periodic shadowing properties
Alexey V. Osipov
2011-03-30
Analysis of PDEs · Mathematics
Lipschitz Stability for an Inverse Problem of Biharmonic Wave Equations with Damping
Minghui Bi, Yixian Gao
2026-05-18
Dynamical Systems · Mathematics
Oriented and standard shadowing properties for topological flows
Sogo Murakami
2022-10-28
Analysis of PDEs · Mathematics
Lipschitz stability for an inverse source scattering problem at a fixed frequency
Peijun Li, Jian Zhai, Yue Zhao
2020-11-25
Analysis of PDEs · Mathematics
On quasilinear parabolic equations and continuous maximal regularity
Jeremy LeCrone, Gieri Simonett
2018-08-06
Analysis of PDEs · Mathematics
Lipschitz Stability in the Simultaneous Determination of Polygonal Inclusions and Constant Conductivities
Tianrui Dai
2026-05-12
Analysis of PDEs · Mathematics
Lipschitz and H\"older stable determination of nonlinear terms for elliptic equations
Yavar Kian
2023-02-01
Analysis of PDEs · Mathematics
Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities
Romina Gaburro, Eva Sincich
2016-11-04
Numerical Analysis · Mathematics
Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements
Chunlong Sun, Wenlong Zhang, Zhidong Zhang
2025-04-29
Dynamical Systems · Mathematics
Inverse pressure estimates and the independence of stable dimension for non-invertible maps
Eugen Mihailescu, Mariusz Urbanski
2008-11-21
Differential Geometry · Mathematics
Linear and nonlinear stability for the Bach flow, I
Eric Bahuaud, Christine Guenther, James Isenberg, Rafe Mazzeo
2025-08-12
Analysis of PDEs · Mathematics
Local Lipschitz Stability for Inverse Robin Problems in Some Elliptic and Parabolic Systems
Jiang Daijun, Zou Jun
2017-10-16
Dynamical Systems · Mathematics
Nonsmooth mappings with Lipschitz shadowing
A. Petrov, S. Pilyugin
2015-10-13
Spectral Theory · Mathematics
Uniform stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator
Natalia P. Bondarenko
2024-09-25
Analysis of PDEs · Mathematics
Nonlinear stability of sinusoidal Euler flows on a flat two-torus
Guodong Wang, Bijun Zuo
2022-10-11
Analysis of PDEs · Mathematics
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations
Xing Cheng, Zhiyuan Li
2021-12-08
Dynamical Systems · Mathematics
Structural stability of a dynamical system near a non-hyperbolic fixed point
Roland Bauerschmidt, David C. Brydges, Gordon Slade
2015-11-05
Dynamical Systems · Mathematics
Stochastic Stability for Flows with Smooth Invariant Measures
Sergiu Aizicovici, Todd Young
2011-12-02
Analysis of PDEs · Mathematics
Lipschitz stability estimate for the simultaneous recovery of two coefficients in the anisotropic Schr\"odinger type equation via local Cauchy data
Sonia Foschiatti
2024-08-08
Analysis of PDEs · Mathematics
Lipschitz stability for an elliptic inverse problem with two measurements
Mourad Choulli, Hiroshi Takase
2025-03-14