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PreprintCC BY-NC-ND 4.0arXiv

Phase-Space Realization of Stochastic Multivalued Dynamics with Gyroscopic Subdifferential Coupling

  • Ioana Ciotir
  • Andreea Negrut-Grajdeanu
  • Dan Goreac
  • Eduard Rotenstein
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Abstract

We introduce a new framework for stochastic variational inequalities with oblique reflections generated by non-symmetric matrix coefficients. The loss of symmetry fundamentally changes the structure of the reflected dynamics: besides the dissipative component, it produces a genuinely gyroscopic component describing rotational effects that are invisible to the associated energy forms. To capture this hidden component, we consider planar obstacle problems and we lift the dynamics to an extended phase-space system, where the dissipative and gyroscopic mechanisms are naturally separated. This leads to a new notion of solution, for which we establish existence and uniqueness. The resulting framework allows for genuinely rotated reflections, which can lead to angle-controlled rotations.

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Cite

BibTeXRIS
BibTeX
@misc{ciotir2026phasespace,
  title = {{Phase-Space Realization of Stochastic Multivalued Dynamics with Gyroscopic Subdifferential Coupling}},
  author = {Ioana Ciotir and Andreea Negrut-Grajdeanu and Dan Goreac and Eduard Rotenstein},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38381},
  eprint = {2610.38381},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38381},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Phase-Space Realization of Stochastic Multivalued Dynamics with Gyroscopic Subdifferential Coupling
AU  - Ioana Ciotir
AU  - Andreea Negrut-Grajdeanu
AU  - Dan Goreac
AU  - Eduard Rotenstein
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38381
UR  - https://arxiv.org/abs/2610.38381
AB  - We introduce a new framework for stochastic variational inequalities with oblique reflections generated by non-symmetric matrix coefficients. The loss of symmetry fundamentally changes the structure of the reflected dynamics: besides the dissipative component, it produces a genuinely gyroscopic component describing rotational effects that are invisible to the associated energy forms. To capture this hidden component, we consider planar obstacle problems and we lift the dynamics to an extended phase-space system, where the dissipative and gyroscopic mechanisms are naturally separated. This leads to a new notion of solution, for which we establish existence and uniqueness. The resulting framework allows for genuinely rotated reflections, which can lead to angle-controlled rotations.
ER  -