Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
February 17, 2026Open Access

Delayed Nonlinear Energy Regulation Model (DHE): Unified Analytical and Numerical Study

View Full Paper
Ask AI
Bookmark
Share

Authors

KGKujtim Gjoka

Discussion

Loading...

Member takes

Overview

Analytical and numerical study reveals complex dynamics in bio-dynamic systems with nonlinear feedback.

Key Points

  • This work aims to investigate a nonlinear energy regulation model that incorporates delayed feedback and saturation effects in dynamic systems.
  • Developed a system of delay differential equations for modeling
  • Conducted analytical stability analysis including Hopf bifurcation
  • Numerically validated analytical findings
  • Computed two-parameter stability map to identify dynamic behaviors
  • Identified stable oscillations and period-doubling transitions
  • Observed weak chaos characterized by a positive Lyapunov exponent
  • Produced a thin fractal attractor with Kaplan–Yorke dimension slightly above one
  • Demonstrated stable and chaotic regions in the stability map

Cite This Study

Kujtim Gjoka (2026) studied this question.

synapsesocial.com/papers/699405774e9c9e835dfd6642https://doi.org/10.5281/zenodo.18649764
View Full Paper
Ask AI
Bookmark
Share