Licskó, Gábor and Csernák, Gábor (2026) Nonsmooth Bifurcations and Chaotic Transients in a Simple Frictional Oscillator. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274 (In Press)
![[img]](https://real.mtak.hu/style/images/fileicons/text.png) |
Text
IJBC-D-25-00205_R1.pdf - Accepted Version Restricted to Registered users only Download (3MB) | Request a copy |
Abstract
In this paper, we present a model of a single degree-of-freedom periodically forced oscillator that is damped by Coulomb-type friction. During the earlier examination of a similar model — with equal coefficients of sliding and sticking — only periodic steady-state solutions were found. In the present model, the two coefficients of friction are different. We show that this slight modification can lead to the occurrence of chaotic or transient chaotic behavior in certain parameter ranges, where the ratio of the sticking and sliding coefficients is quite large. Transient chaotic behavior is investigated in detail and finite time Lyapunov exponent is calculated. Moreover, a novel form of a sticking map is presented that enables the identification of nonsmooth bifurcations in the system.
| Item Type: | Article |
|---|---|
| Additional Information: | Funding Agency and Grant Number: Hungarian National Research, Development and Innovation Office Grant [NKFI K 146201]; HUN-REN Hungarian Research Network Funding text: This research was supported by the Hungarian National Research, Development and Innovation Office Grant No. NKFI K 146201 and by the HUN-REN Hungarian Research Network. |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika T Technology / alkalmazott, műszaki tudományok > TJ Mechanical engineering and machinery / gépészmérnöki tudományok |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 15 Jan 2026 14:19 |
| Last Modified: | 15 Jan 2026 14:19 |
| URI: | https://real.mtak.hu/id/eprint/232096 |
Actions (login required)
 |
Edit Item |
