AI Article Synopsis
- The paper explores the dynamics of nonholonomic systems, specifically the Chaplygin sleigh and the Suslov system, focusing on how their mass distribution changes periodically.
- It presents a specific system of differential equations to describe the behavior of velocities and investigates conditions under which these systems can experience indefinite acceleration, a phenomenon analogous to Fermi's acceleration.
- The authors prove that the variable v can exhibit different growth behaviors based on coefficient choices and identify certain areas in phase space where initial conditions can lead to acceleration, employing a unique approach to averaging in their analysis.
Article Abstract
This paper investigates nonholonomic systems (the Chaplygin sleigh and the Suslov system) with periodically varying mass distribution. In these examples, the behavior of velocities is described by a system of the form dvdτ=f(τ)u+f(τ)u+f(τ),dudτ=-uv+g(τ), where the coefficients are periodic functions of time τ with the same period. A detailed analysis is made of the problem of the existence of modes of motion for which the system speeds up indefinitely (an analog of Fermi's acceleration). It is proved that, depending on the choice of coefficients, variable v has the asymptotics t,k=1,2,3. In addition, we show regions of the phase space for which the system, when the trajectories are started from them, is observed to speed up. The proof uses normal forms and averaging in a slightly unusual form since unusual form averaging is performed over a variable that is not fast.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/5.0030889 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Rapidly self-crosslinking sodium alginate hydrogel for infected wounds.
J Biomater Sci Polym Ed
January 2025
School of Chemistry and Materials Science, National and Local Joint Engineering Research Center of Biomedical Functional Materials, Nanjing Normal University (NNU), Nanjing, China.
The risks associated with wound infections are significant, making a snug-fitting hydrogel dressing an optimal choice for wound management. For it, we employed the self-cross-linking method of oxidized sodium alginate (SCSA), incorporating clarithromycin (Cla) and basic fibroblast growth factor (bFGF) to formulate a rapidly forming, bacteriostatic, and wound-healing hydrogel (SCSA@C/b). Bacteriostatic and cytocompatibility assays demonstrated that SCSA@C/b exhibits exceptional antibacterial activity alongside strong biocompatibility.
View Article and Find Full Text PDFVoid Evolution at the Li/LLZO Interface: Stack Pressure and Operating Temperature-Driven Creep Effect.
ACS Appl Mater Interfaces
January 2025
School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, Hubei 430074, China.
All-solid-state lithium metal batteries hold promise for meeting the industrial demands for high energy density and safety. However, voids are formed at the lithium metal anode/solid-state electrolyte interface during stripping, deteriorating interface contact and reducing the cycle stability. Stack pressure and operating temperature are effective methods to activate creep deformation in lithium metal, promoting interfacial deformation and alleviating void-induced interface issues.
View Article and Find Full Text PDFLipid imbalance and inflammatory oxylipin cascade at the maternal-fetal interface in recurrent spontaneous abortion.
Heliyon
December 2024
Department of Obstetrics and Gynaecology, The Second Affiliated Hospital of Chongqing Medical University, Chongqing, China.
Background: Recurrent spontaneous abortion (RSA) is intricately linked to metabolic dysregulation at the maternal-fetal interface during early gestation. Abnormal levels of essential fatty acids and downstream oxylipins in decidua and chorionic villi have been identified as potential risk factors for RSA. Oxylipins have been linked to excessive inflammation, which might disrupt maternal-fetal immune tolerance, potentially contributing to RSA.
View Article and Find Full Text PDFViscosol Treatment Ameliorates Insulin-Mediated Regulation of Dyslipidemia, Hepatic Steatosis, and Lipid Metabolism by Targeting PTP1B in Type-2 Diabetic Mice Model.
Int J Endocrinol
December 2024
Department of Biochemistry, Faculty of Biological Sciences, Quaid-i-Azam University, Islamabad 45320, Pakistan.
Type 2 diabetes mellitus (T2DM), a metabolic disorder, has the hallmarks of persistent hyperglycemia, insulin resistance, and dyslipidemia. Protein-tyrosine phosphatase 1B (PTP1B) was found to be overexpressed in many tissues in the case of T2DM and involved in the negative regulation of insulin signaling. So, PTP1B inhibition can act as a therapeutic target for T2DM.
View Article and Find Full Text PDFFetal Ascites: Its Prenatal Management and Postnatal Outcome.
J Obstet Gynaecol India
December 2024
Department of Fetal Medicine, Amrita Institute of Medical Sciences, Ponekkara, Kochi, Kerala 682041 India.
Objective: To report a single tertiary center experience in the management of prenatally diagnosed cases of fetal ascites and their postnatal outcomes.
Methods: Prenatally diagnosed fetal ascites cases were retrospectively analyzed from 2015 to 2022 using two-dimensional ultrasound with other investigations as required in a tertiary care center.
Results: Of 126 fetuses with fetal ascites, 70 progressed to hydrops and hence were excluded from the study.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!