Results 91 to 100 of about 91,674 (304)
Plurisubharmonic Lyapunov functions
Michigan Mathematical Journal, 2004 Suppose the holomorphic map \(f: \mathbb{C}\mathbb{P}^2\to \mathbb{C}\mathbb{P}^2\) has an invariant nonsingular quadratic curve \(A\) contained in the critical set of. The author proves that the pluricomplex Green function \(G_K\) for the repeller \(K\) dual to \(A\), with logarithmic pole along \(A\), is a PSH Lyapunov function for \(f\) in \(\mathbb{
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
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Global Stability Analysis of a General Model of Zika Virus
Nonautonomous Dynamical Systems, 2019 Mathematical models of Zika virus dynamics are relatively new, and they mostly focus on either vector and horizontal, or vector and vertical transmission only.
Bessey K., Mavis M., Rebaza J., Zhang J.
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye +6 more
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Construction of Lyapunov functions from first integrals for stochastic stability analysis
Applied and Computational MechanicsThis paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and
Náprstek J., Fischer C.
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Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
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Chemostats and epidemics: Competition for nutrients/hosts
Mathematical Biosciences and Engineering, 2013 In a chemostat, several species compete for the same nutrient, whilein an epidemic, several strains of the same pathogen may competefor the same susceptible hosts. As winner, chemostat models predict the specieswith the lowest break-even concentration,
Hal L. Smith, Horst R. Thieme
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Decay for thermoelastic laminated beam with nonlinear delay and nonlinear structural damping
AIMS MathematicsThis paper discussed the decay of a thermoelastic laminated beam subjected to nonlinear delay and nonlinear structural damping. We provided explicit and general energy decay rates of the solution by imposing suitable conditions on both weight delay and ...
Hicham Saber +4 more
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