Results 51 to 60 of about 4,627 (196)
On the Lyapunov Exponent of Monotone Boolean Networks †
Mathematics, 2020 Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations.
Ilya Shmulevich
doaj +1 more source
Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?
Atmosphere, 2023 In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect.
Yoshitaka Saiki, James A. Yorke
doaj +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
Largest Lyapunov Exponents and Bifurcations of Stochastic Nonlinear Systems
Shock and Vibration, 1996 Two commonly adopted expressions for the largest Lyapunov exponents of linearized stochastic systems are reviewed. Their features are discussed in light of bifurcation analysis and one expression is selected for evaluating the largest Lyapunov exponent ...
C.W.S. To, D.M. Li
doaj +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha +1 more
wiley +1 more source
Removing zero Lyapunov exponents [PDF]
Ergodic Theory and Dynamical Systems, 2003 Motivated by \textit{M. Shub} and \textit{A. Wilkinson}'s result [Invent. Math. 139, 495--508 (2000; Zbl 0976.37013)] for an explicit family of partially hyperbolic diffeomorphisms of the torus \(T^3\) in perturbing the Lyapunov exponents of the center direction, the authors present a local version of their arguments, allowing one to perturb the center
Baraviera, Alexandre T. +1 more
openaire +2 more sources
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
wiley +1 more source
Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method [PDF]
Journal of Sciences, Islamic Republic of Iran, 2016 The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change
M. Seidi, R. Khodabakhsh, S. Behnia
doaj
Predicting Traffic Flow in Local Area Networks by the Largest Lyapunov Exponent
Entropy, 2016 The dynamics of network traffic are complex and nonlinear, and chaotic behaviors and their prediction, which play an important role in local area networks (LANs), are studied in detail, using the largest Lyapunov exponent.
Yan Liu, Jiazhong Zhang
doaj +1 more source
Emergent Chaos‐Like Dynamics of Spin–Orbit‐Torque‐Driven Magnetic Transitions
Small, EarlyView.By combining anisotropy‐engineered nanometer‐scale nucleation sites with time‐resolved x‐ray holography and micromagnetic modeling, magnetization dynamics are directly imaged, revealing chaos‐like fluctuations and skyrmion shedding and highlighting the intrinsic complexity of spin‐orbit torque driven systems.
L.‐M. Kern +14 more
wiley +1 more source