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Lyapunov Functions by Interpolating Numerical Quadrature: Proof of Convergence
Lyapunov functions for nonlinear systems, whose dynamics are defined by ordinary differential equations, are computed by solving linear programming...
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A Doubly Nonlinear Evolution System with Threshold Effects Associated with Dry Friction
In this paper, we investigate the asymptotic behavior of inertial dynamics with dry friction within the context of a Hilbert framework for convex...
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Singularity Scattering Laws for Bouncing Cosmologies: A Brief Overview
For contracting/expanding bouncingLeFloch, G. P. cosmologies, the formulation of junction conditions at a bouncing was recently revisited by the...
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Dynamics of the discrete-time Rosenzweig-MacArthur predator–prey system in the closed positively invariant set
This paper examines the discrete-time Rosenzweig-MacArthur predator–prey model featuring a general predator functional response. We determine the...
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Synthesis of an Optimal Stable Affine System
AbstractA method for constructing a feedback that ensures the attraction of trajectories of an affine system to an equilibrium state and to a given...
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An Approximate Structure Theorem for Small Sumsets
Let A and B be randomly chosen s-subsets of the first n integers such that their sumset...
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On the chaotic nature of the Rabinovich system through Caputo and Atangana–Baleanu–Caputo fractional derivatives
The Rabinovich system can describe different physical interactions, including waves in plasmas, a convective fluid flow inside a rotating ellipsoid,...
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Feasibility of sparse large Lotka-Volterra ecosystems
Consider a large ecosystem (foodweb) with n species, where the abundances follow a Lotka–Volterra system of coupled differential equations. We assume...
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Super-Twisting Sliding Mode Control for a Formation of Fully-Actuated Multirotor Aerial Vehicles
The present paper is concerned with the robust attitude-position tracking control for a formation of heterogeneous fully actuated multirotor aerial...
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Symmetry properties of stable solutions of semilinear elliptic equations in unbounded domains
We consider stable solutions of a semilinear elliptic equation with homogeneous Neumann boundary conditions. A classical result of Casten, Holland...
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Deterministic Neural Networks Optimization from a Continuous and Energy Point of View
Getting an efficient neural network can be a very difficult task for engineers and researchers because of the huge number of hyperparameters to tune...
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Dennis Sullivan’s Work on Dynamics
Before going into Dennis Sullivan’s work on dynamics, we would like to share some of our reminiscences on the remarkable way in which he influenced a...
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\(R_0\) May Not Tell Us Everything: Transient Disease Dynamics of Some SIR Models Over Patchy Environments
This paper examines the short-term or transient dynamics of SIR infectious disease models in patch environments. We employ reactivity of an...
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P-Bifurcation of Stochastic van der Pol Model as a Dynamical System in Neuroscience
This study aims to determine the phenomenological bifurcation (P-bifurcation) occurring in the van der Pol (VDP) neuronal model of burst neurons with...
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On the Development of Batch Stable Inverse Indirect Adaptive Control of Systems with Unstable Discrete-Time Inverse
Indirect discrete time adaptive control creates a control law that promises to converge to zero tracking error for any commanded output. A major...
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Modeling single-phase fluid flow in porous media through non-local fractal continuum equation
Modeling fluid flow in highly heterogeneous porous media is an open research topic due to the degree of complexities and uncertainties attributable...
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Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases
We are concerned with a class of second order quasilinear elliptic equations driven by a nonhomogeneous differential operator introduced by C.A....