What does this research mean for the field?

In fractional double pendulum systems, exponentially decaying mass synergistically amplifies chaotic behavior and intensifies nonlinearity, significantly increasing the maximal Lyapunov exponent and angular displacements compared to fixed-mass systems. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To quantify how time-varying mass amplifies chaotic behavior relative to fixed-mass systems and to formulate a fractional-order framework capturing memory-dependent non-local effects.

September 3, 2026Physics OpenOpen Access

From Order to Chaos: The Destabilizing Role of Time-Varying Mass in Fractional Pendulum Systems

View Full Paper

Ask AI

Bookmark

Authors

YAYazen M. Alawaideh BABashar. M. Al-Khamiseh HQHamzah A. Qattous

Discussion

Member takes

Overview

Numerical simulation study reveals that decaying mass amplifies chaotic motion in fractional double pendulums, highlighting critical instability thresholds for aerospace and robotic systems.

Key Points

To quantify how time-varying mass amplifies chaotic behavior relative to fixed-mass systems and to formulate a fractional-order framework capturing memory-dependent non-local effects.
Derived dimensionless Euler–Lagrange equations incorporating Caputo fractional derivatives and an exponential mass decay model (μ(τ) = μ₀e^(-γτ) with γ = 0.1 s⁻¹).
Conducted numerical simulations of the fractional double pendulum system using fourth-order Runge–Kutta and Adams–Bashforth integration schemes.
Mass decay increased the maximal Lyapunov exponent from 0.1 s⁻¹ in fixed-mass systems to 0.41 s⁻¹, representing a 310% increase in chaotic behavior.
Angular displacements expanded by 44.4% for α (0.18 to 0.26 rad) and 106.7% for β (0.15 to 0.31 rad), with energy fluctuations reaching 10.41 J compared to 9.82 J in fixed-mass conditions.
Poincaré sections demonstrated chaotic attractors unique to the variable-mass system, identifying critical instability thresholds at approximately -0.015 s⁻¹.

Cite This Study

Alawaideh et al. (2026) studied this question.

synapsesocial.com/papers/6a99352e636c6408cfa7d291 https://doi.org/10.1016/j.physo.2026.100471

View Full Paper

Ask AI

Bookmark

September 3, 2026Physics OpenOpen Access

From Order to Chaos: The Destabilizing Role of Time-Varying Mass in Fractional Pendulum Systems

View Full Paper

Ask AI

Bookmark

Authors

YAYazen M. Alawaideh BABashar. M. Al-Khamiseh HQHamzah A. Qattous

Discussion

Member takes

Overview

Numerical simulation study reveals that decaying mass amplifies chaotic motion in fractional double pendulums, highlighting critical instability thresholds for aerospace and robotic systems.

Key Points

To quantify how time-varying mass amplifies chaotic behavior relative to fixed-mass systems and to formulate a fractional-order framework capturing memory-dependent non-local effects.
Derived dimensionless Euler–Lagrange equations incorporating Caputo fractional derivatives and an exponential mass decay model (μ(τ) = μ₀e^(-γτ) with γ = 0.1 s⁻¹).
Conducted numerical simulations of the fractional double pendulum system using fourth-order Runge–Kutta and Adams–Bashforth integration schemes.
Mass decay increased the maximal Lyapunov exponent from 0.1 s⁻¹ in fixed-mass systems to 0.41 s⁻¹, representing a 310% increase in chaotic behavior.
Angular displacements expanded by 44.4% for α (0.18 to 0.26 rad) and 106.7% for β (0.15 to 0.31 rad), with energy fluctuations reaching 10.41 J compared to 9.82 J in fixed-mass conditions.
Poincaré sections demonstrated chaotic attractors unique to the variable-mass system, identifying critical instability thresholds at approximately -0.015 s⁻¹.

Cite This Study

Alawaideh et al. (2026) studied this question.

synapsesocial.com/papers/6a99352e636c6408cfa7d291 https://doi.org/10.1016/j.physo.2026.100471

View Full Paper

Ask AI

Bookmark