MOTION STABILITY ANALYSIS OF FOUR ROTOR AIRCRAFT BASED ON LYAPUNOV INDEX METHOD
Jixie qiangdu, 2019 According to the four rotor aircraft in a relatively complex near earth space, easily disturbed, and the emergence of jitter and out of control of motion stability, this paper investigated the motion stability of four rotor aircraft based on Lyapunov ...
TANG MingJun, SUN Shuai
doaj
Lyapunov Spectra of Coulombic and Gravitational Periodic Systems
Entropy, 2017 An open question in nonlinear dynamics is the relation between the Kolmogorov entropy and the largest Lyapunov exponent of a given orbit. Both have been shown to have diagnostic capability for phase transitions in thermodynamic systems.
Pankaj Kumar, Bruce N. Miller
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Maximum Lyapunov exponent-based multiple chaotic slime mold algorithm for real-world optimization. [PDF]
Sci Rep, 2023 Yang J +5 more
europepmc +1 more source
Energy Science &Engineering, Volume 14, Issue 6, Page 2816-2838, June 2026.An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian +7 more
wiley +1 more source
Symplectic Calculation of Lyapunov Exponents
Physical Review Letters, 1995 The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method for the calculation of Lyapunov exponents of such systems.
Habib, Salman, Ryne, Robert D.
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Lyapunov Exponents and Oceanic Fronts [PDF]
, 2016 Lyapunov exponents and Lyapunov vectors are precious tools to study dynamical systems: they provide a mathematical framework characterizing sensitive dependence on initial conditions, as well as the stretching and the contraction occurring along a trajectory.
Toselli, Francesco +4 more
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Largest Lyapunov Exponent Optimization for Control of a Bionic-Hand: A Brain Computer Interface Study. [PDF]
Front Rehabil Sci, 2021 Hekmatmanesh A, Wu H, Handroos H.
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Alternative Methods of the Largest Lyapunov Exponent Estimation with Applications to the Stability Analyses Based on the Dynamical Maps-Introduction to the Method. [PDF]
Materials (Basel), 2021 Dabrowski A +5 more
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley +1 more source