Results 121 to 130 of about 9,353 (233)
Hyperchaos Numerical Simulation and Control in a 4D Hyperchaotic System
Discrete Dynamics in Nature and Society, 2013 A hyperchaotic system is introduced, and the complex dynamical behaviors of such system are investigated by means of numerical simulations. The bifurcation diagrams, Lyapunov exponents, hyperchaotic attractors, the power spectrums, and time charts are ...
Junhai Ma, Yujing Yang
doaj +1 more source
Engineering Reports, Volume 8, Issue 6, June 2026.The study introduces a model‐free data‐driven control strategy combining sliding mode control with a projection recurrent neural network to regulate HIV dynamics. The method eliminates dependence on mathematical models, ensures constrained optimal drug dosing, and robustly drives HIV states to a healthy equilibrium despite uncertainty. ABSTRACT In this
Ashkan Zarghami +2 more
wiley +1 more source
Lyapunov exponents – practical computation
, 2017 The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possible divergence of nearby trajectories of the solution. In this way they express dependence of the dynamical system on initial conditions.
Fischer, Cyril
core
Large deviations of Lyapunov exponents
, 2013 International audienceGeneric dynamical systems have 'typical' Lyapunov exponents, measuring the sensitivity to small perturbations of almost all trajectories. A generic system has also trajectories with exceptional values of the exponents, corresponding
Laffargue, Tanguy +7 more
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Numerical Approximation of LYAPUNOV-Exponents for Quasiperiodic Motions
MATEC Web of Conferences, 2018 This paper proposes an approach to approximate the LYAPUNOV -spectrum of quasiperiodic flows on isolated invariant manifolds numerically. Once the invariant manifold has been determined, integrations over the infinite, one dimensional time interval – as ...
Fiedler Robert, Hetzler Hartmut
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A Novel Measure Inspired by Lyapunov Exponents for the Characterization of Dynamics in State-Transition Networks. [PDF]
Entropy (Basel), 2021 Sándor B +3 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
SOME RESULTS ON PERTURBATIONS OF LYAPUNOV EXPONENTS
, 2012 In this paper, we study two properties of the Lyapunov exponents under small perturbations: one is when we can remove zero Lyapunov exponents and the other is when we can distinguish all the Lyapunov exponents.
Sun, Wenxiang +2 more
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Stochasticity of Galactic Orbits of Star Clusters
Open Astronomy, 2015 The Lyapunov, Lagrange and Poincaré criteria are tested for orbits of 461 open clusters in an axisymmetric potential. Lyapunov exponents and Poincaré sections are computed, and all of the trajectories are found to be stable according to the Lagrange and ...
Smirnova L. V.
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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
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