Results 111 to 120 of about 115,141 (223)
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas +3 more
wiley +1 more source
Lyapunov Characteristic Exponents are Nonnegative [PDF]
We prove that, for an arbitrary rational map f f on the Riemann sphere and an arbitrary probability invariant measure on ...
openaire +1 more source
T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Examples on Perron effects in autonomous discrete systems
We construct examples proving that there exist C1-dynamical systems in [0,1) having forward orbits instable in the sense of Lyapunov with negative Lyapunov exponent and forward orbits stable in the same sense, but having positive ...
Balibrea Francisco, Caballero M.V.
doaj +1 more source
Schematic diagram of the whale optimization algorithm (WOA)–optimized fuzzy proportional–integral–derivative (PID) controller. The WOA is employed to dynamically tune the scaling factor expressions and fuzzy control parameters (a(e)a(e), a(ec)a(ec), βpβp, βiβi), as well as the initial PID gains (kp0kp0, ki0ki0), based on the error (ee) and its ...
Xiaosong Tian +7 more
wiley +1 more source
Complex Dynamics in a Bertrand Duopoly Game with Heterogeneous Players [PDF]
A heterogeneous Bertrand duopoly game with bounded rational and adaptive players manufacturing differentiated products is subject of investigation. The main goal is to demonstrate that participation of one bounded rational player in the game suffices to ...
Tomasz Dubiel-Teleszyński
core
Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source
Statistical Tests for Lyapunov Exponents of Deterministic Systems. Discussion paper No 167
In order to develop statistical tests for the Lyapunov exponents of deter-\ud ministic dynamical systems, we develop bootstrap tests based on empirical\ud likelihood for percentiles and expectiles of strictly stationary processes.
Wolff, Rodney C. +2 more
core
Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco +5 more
wiley +1 more source

