Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Matthew D. Kvalheim"'
Autor:
Yuliy Baryshnikov, Matthew D. Kvalheim
Publikováno v:
Communications in Mathematical Physics. 400:853-930
Many real-world systems are well-modeled by Brownian particles subject to gradient dynamics plus noise arising, e.g., from the thermal fluctuations of a heat bath. Of central importance to many applications in physics and biology (e.g., molecular mot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82cb5a3f5ef19d34f265938180f799a5
https://doi.org/10.1007/s00220-022-04622-4
https://doi.org/10.1007/s00220-022-04622-4
Publikováno v:
IEEE Robotics and Automation Letters. 7:8861-8868
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6431067a946d10535968474461c0a0e8
https://doi.org/10.1109/lra.2022.3187271
https://doi.org/10.1109/lra.2022.3187271
Autor:
Matthew D. Kvalheim, Anthony M. Bloch
Publikováno v:
Journal of Differential Equations. 285:211-257
We investigate global continuation of periodic orbits of a differential equation depending on a parameter, assuming that a closed 1-form satisfying certain properties exists. We begin by extending the global continuation theory of Alexander, Alligood
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8adfe0cac91930f4cffe936ec85a9260
https://doi.org/10.1016/j.jde.2021.03.009
https://doi.org/10.1016/j.jde.2021.03.009
We establish versions of Conley's (i) fundamental theorem and (ii) decomposition theorem for a broad class of hybrid dynamical systems. The hybrid version of (i) asserts that a globally-defined "hybrid complete Lyapunov function" exists for every hyb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e53389bae7fc01c10715d84ce61f9fbc
http://arxiv.org/abs/2005.03217
http://arxiv.org/abs/2005.03217
Our recent work established existence and uniqueness results for $\mathcal{C}^{k,\alpha}_{\text{loc}}$ globally defined linearizing semiconjugacies for $\mathcal{C}^1$ flows having a globally attracting hyperbolic fixed point or periodic orbit (Kvalh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6c54e6f1d905521d93abb72bb3c8928
Autor:
Shai Revzen, Matthew D. Kvalheim
Publikováno v:
Physica D: Nonlinear Phenomena. 425:132959
We consider $C^1$ dynamical systems having an attracting hyperbolic fixed point or periodic orbit and prove existence and uniqueness results for $C^k$ (actually $C^{k,\alpha}_{\text{loc}}$) linearizing semiconjugacies -- of which Koopman eigenfunctio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6aa2a662b03e0e8abf4cbf2ba9eb815
https://doi.org/10.1016/j.physd.2021.132959
https://doi.org/10.1016/j.physd.2021.132959
Many forms of locomotion, both natural and artificial, are dominated by viscous friction in the sense that without power expenditure they quickly come to a standstill. From geometric mechanics, it is known that for swimming at the "Stokesian" (viscou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21cd58ecb1941e721c13225b6438434d
http://arxiv.org/abs/1906.04384
http://arxiv.org/abs/1906.04384
We study global properties of the global (center-)stable manifold of a normally attracting invariant manifold (NAIM), the special case of a normally hyperbolic invariant manifold (NHIM) with empty unstable bundle. We restrict our attention to continu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ba4b05b88bdf840d5095cef643371ce
http://arxiv.org/abs/1711.03646
http://arxiv.org/abs/1711.03646
Autor:
Matthew D. Kvalheim, Shai Revzen
Publikováno v:
SPIE Proceedings.
Legged locomotion is a challenging regime both for experimental analysis and for robot design. From biology, we know that legged animals can perform spectacular feats which our machines can only surpass on some specially controlled surfaces such as r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca62f2a86a607582bc40036a307573e7
https://doi.org/10.1117/12.2178007
https://doi.org/10.1117/12.2178007