PWC Lorenz–Rabinovich system: complex dynamics, circuit realization, and a new technique for adaptive synchronization via sliding mode control with application to cryptosystems design
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Abstract The development of novel models can lead to new findings, design new algorithms, and expand practical applications. In this article, we propose a new piecewise-continuous (PWC) system by introducing a threshold level for the states in both the Lorenz and Rabinovich systems. This threshold enables dynamical transitions between the Lorenz system and the Rabinovich system while preserving their fundamental characteristics. Further, this new system exhibits unique dynamic behaviors, including the simultaneous presence of a self-excited chaotic set and two-point attractors, the coexistence of self-excited and hidden attractors with distinct four wings, as well as the coexistence of two hidden scrolls and hidden chaotic attractors. Moreover, the electronic circuit using off-the-shelf components is designed on a schematic capture and SPICE simulator tool. A technique for achieving adaptive synchronization (AS) between switching dynamical systems with completely unknown parameters is proposed, employing sliding mode control. Numerical simulations are conducted to validate the reliability of the AS algorithm. Furthermore, by capitalizing on the inherent switching property of PWC systems, a technique for secure communications is proposed. The approach is based on the concept of dividing the message signal into segments and distributing them across a PWC chaotic system. Subsequently, these encrypted signals are transmitted through two channels. This methodology significantly enhances the overall security of the communication. Various statistical tests are conducted to evaluate the robustness of the method.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it