Interval observers for linear time-invariant systems with disturbances

F Mazenc, O Bernard - Automatica, 2011 - Elsevier
It is shown that, for any time-invariant exponentially stable linear system with additive
disturbances, time-varying exponentially stable interval observers can be constructed. The …

Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator–prey system

F Yi, J Wei, J Shi - Journal of Differential Equations, 2009 - Elsevier
A diffusive predator–prey system with Holling type-II predator functional response subject to
Neumann boundary conditions is considered. Hopf and steady state bifurcation analysis are …

[PDF][PDF] Ulam stability and data dependence for fractional differential equations with Caputo derivative

JR Wang, L Lv, Y Zhou - Electronic Journal of Qualitative Theory of …, 2011 - real.mtak.hu
In this paper, Ulam stability and data dependence for fractional differential equations with
Caputo fractional derivative of order α are studied. We present four types of Ulam stability …

Predator–prey system with strong Allee effect in prey

J Wang, J Shi, J Wei - Journal of Mathematical Biology, 2011 - Springer
Global bifurcation analysis of a class of general predator–prey models with a strong Allee
effect in prey population is given in details. We show the existence of a point-to-point …

[PDF][PDF] ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS.

IA Rus - Studia Universitatis Babes-Bolyai, Mathematica, 2009 - Citeseer
ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS 1. Introduction The basic
statements of data dependence in the theory of ordin Page 1 STUDIA UNIV. “BABES–BOLYAI” …

Obfuscation, learning, and the evolution of investor sophistication

BI Carlin, G Manso - The Review of Financial Studies, 2011 - academic.oup.com
Investor sophistication has lagged behind the growing complexity of retail financial markets.
To explore this, we develop a dynamic model to study the interaction between obfuscation …

Unstable cores are the source of instability in chemical reaction networks

N Vassena, PF Stadler - Proceedings of the Royal …, 2024 - royalsocietypublishing.org
In biochemical networks, complex dynamical features such as superlinear growth and
oscillations are classically considered a consequence of autocatalysis. For the large class of …

Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator

JVC Sousa, FG Rodrigues… - … Methods in the …, 2019 - Wiley Online Library
In this paper, using the Riemann‐Liouville fractional integral with respect to another function
and the ψ− Hilfer fractional derivative, we propose a fractional Volterra integral equation and …

Existence and stability of fractional differential equations with Hadamard derivative

JR Wang, Y Zhou, M Medveď - 2013 - projecteuclid.org
In this paper, we study nonlinear fractional differential equations with Hadamard derivative
and Ulam stability in the weighted space of continuous functions. Firstly, some new …

Intelligent computing approach to solve the nonlinear Van der Pol system for heartbeat model

MAZ Raja, FH Shah, MI Syam - Neural Computing and Applications, 2018 - Springer
In this work, an intelligent computing algorithm is developed for finding the approximate
solution of heart model based on nonlinear Van der Pol (VdP)-type second-order ordinary …