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The onset of filamentation on vorticity interfaces in two-dimensional Euler flow ...
Two-dimensional Euler flows, in the plane or on simple surfaces, possess a material invariant, namely the scalar vorticity normal to the surface. Consequently, flows with piecewise-uniform vorticity remain that way, and moreover ... Read More >
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Finite-time stability of nonlinear conformable fractional-order delayed impulsiv ...
This paper investigates the finite-time stability (FTS) of nonlinear conformable fractional-order delayed impulsive systems (CFODISs). Using the conformable fractional-order (CFO) derivative framework, we derive a novel FTS resu ... Read More >
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A generalized fractional Halanay inequality and its applications
This paper is concerned with a generalized Halanay inequality and its applications to fractional-order delay linear systems. First, based on a sub-semigroup property of Mittag-Leffler functions, a generalized Halanay inequality ... Read More >
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The oscillatory solutions of multi-order fractional differential equations
This paper systematically treats the asymptotic behavior of many (linear/nonlinear) classes of higher-order fractional differential equations with multiple terms. To do this, we utilize the characteristics of Caputo fractional d ... Read More >
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On the Mittag-Leffler stability of mixed-order fractional homogeneous cooperativ ...
In this paper, we study a class of multi-order fractional nonlinear delay systems. Our main contribution is to show the (local or global) Mittag-Leffler stability of systems when some structural assumptions are imposed on the "v ... Read More >
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Koopman correlations underlie linear response and causality
The inference of causal relationships among observed variables is a pivotal, longstanding problem in the scientific community. An intuitive method for quantifying these causal links involves examining the response of one variabl ... Read More >
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Expanding on average diffeomorphisms of surfaces: exponential mixing
We show that the Bernoulli random dynamical system associated to a expanding on average tuple of volume preserving diffeomorphisms of a closed surface is exponentially mixing. Read More >
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Minimization and Hyperbolicity
In this paper we study the relationship between the strict locally minimizing orbits for time dependent lagrangian systems and hyperbolicity properties of the corresponding lagrangian flow. Read More >
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A Complete Invariant for Flow Equivalence
Minimal flow spaces of dimension 1 are among the most fundamental limit sets in dynamical systems. Here we establish a complete invariant for the flow equivalence of such objects. The invariant takes values in a category of `pos ... Read More >
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Chaos in opinion-driven disease dynamics
During the COVID-19 pandemic, it became evident that the effectiveness of applying intervention measures is significantly influenced by societal acceptance, which, in turn, is affected by the processes of opinion formation. This ... Read More >