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Geometric Hybrid Dynamical Systems on Intrinsic Manifolds: Part I – Framework and Hybrid Lyapunov Theorem

IEEE Conference on Decision and Control
This paper develops the hybrid Lyapunov theorem for geometric hybrid dynamical systems, namely hybrid inclusions evolving on intrinsic C1-manifolds. We present various nonsmooth analysis notions, which aid in the formulation of sufficient conditions for ...
Piyush P. Jirwankar, R. Sanfelice
semanticscholar   +1 more source

Topological Stability in Paired Dynamical Systems

We study the classical topological dynamical notions of shadowing and topological stability from a viewpoint of paired dynamical system $(f,g)$, where $f$ and $g$ are uniform equivalences on a metric space $X$. We observe that if $g$ is equicontinuous and commutes with $f$, then the study of shadowing for $(f,g)$ is reduced to the study of the ...
Khan, Abdul Gaffar   +2 more
openaire   +1 more source

Synchronization of Topological Signals on Simplicial Complexes With Higher-Dimensional Simplices

IEEE Transactions on Network Science and Engineering
This article investigates a higher-order dynamical network on simplicial complexes, and the evolution of topological signals residing on simplices (e.g. nodes, links, triangles, etc) is governed by coupled higher-dimensional linear oscillators.
Ke-Zan Li, Tian Shi, Xiang Li
semanticscholar   +1 more source

Dynamic Analysis of Mechanical Systems With Time-Varying Topologies: Part 1 — Dynamic Model and Stability Analysis

16th Design Automation Conference: Volume 2 — Optimal Design and Mechanical Systems Analysis, 1990
Abstract A model is developed for analyzing mechanical systems with a pair of bodies with topological changes in their kinematic constraints. It is built upon the concept of Poincaré map rather than following the traditional methods of differential equations.
openaire   +1 more source

An Introduction to Chaotic Dynamical Systems

, 1990
Part One: One-Dimensional Dynamics Examples of Dynamical Systems Preliminaries from Calculus Elementary Definitions Hyperbolicity An example: the quadratic family An Example: the Quadratic Family Symbolic Dynamics Topological Conjugacy Chaos Structural ...
D. R. J. Chillingworth, R. Devaney
semanticscholar   +1 more source

Toward a Comprehensive Theory for Stability Regions of a Class of Nonlinear Discrete Dynamical Systems

IEEE Transactions on Automatic Control, 2021
Elaine Santos Dias   +3 more
semanticscholar   +1 more source

Topological Stability and Entropy for Certain Set-valued Maps

Acta Mathematica Sinica. English series, 2023
Yu Zhang, Yu-Jun Zhu
semanticscholar   +1 more source

Local Topological Stability for Diffeomorphisms

Qualitative Theory of Dynamical Systems, 2023
Manseob Lee
semanticscholar   +1 more source

A comparison of topological entropies for nonautonomous dynamical systems

Journal of Mathematical Analysis and Applications, 2023
Chang-Bing Li, Yuan-Ling Ye
exaly  

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