Linear stability in billiards with potential
, 1996 A general formula for the linearized Poincar\'e map of a billiard with a potential is derived. The stability of periodic orbits is given by the trace of a product of matrices describing the piecewise free motion between reflections and the contributions ...
Abraham R +33 more
core +1 more source
Advancing Stability in Robot Manipulators: A Review of Recent Progress and Parameters
Engineering Reports, Volume 7, Issue 7, July 2025.We present an overview of the current state‐of‐the‐art in robotics while emphasizing stability and control aspects with pragmatic consideration over robotic manipulators. It is centered on robustness, efficiency, and security for applications such as industrial automation or surgical robotics.
Shabnom Mustary +4 more
wiley +1 more source
PDE‐based containment control of linear multi‐agent systems
International Journal of Robust and Nonlinear Control, Volume 35, Issue 3, Page 743-769, February 2025.Abstract This contribution considers the containment control problem for linear multi‐agent systems (MAS) using continuum models in form of linear parabolic PDEs. For this, a networked controller is designed, that ensures the asymptotic convergence of finite‐dimensional agents into a containment area specified by dynamic leaders. This problem is traced
Joachim Deutscher, Nick Jung
wiley +1 more source
Analytic approach for reflected Brownian motion in the quadrant [PDF]
, 2016 Random walks in the quarter plane are an important object both of combinatorics and probability theory. Of particular interest for their study, there is an analytic approach initiated by Fayolle, Iasnogorodski and Malyshev, and further developed by the ...
Franceschi, Sandro +2 more
core +2 more sources
Differences in initial abundances reveal divergent dynamic structures in Gause's predator-prey experiments. [PDF]
Ecol Evol, 2022 Mühlbauer LK, Harpole WS, Clark AT.
europepmc +1 more source
Nonlinear Dynamics and Entropy of Complex Systems: Advances and Perspectives. [PDF]
Entropy (Basel), 2022 Petrzela J.
europepmc +1 more source
Modeling the crossover behavior of the bacterial infection with the COVID-19 epidemics. [PDF]
Results Phys, 2022 Yu Z +5 more
europepmc +1 more source
Space-Time Complexity in Hamiltonian Dynamics
, 2003 New notions of the complexity function C(epsilon;t,s) and entropy function S(epsilon;t,s) are introduced to describe systems with nonzero or zero Lyapunov exponents or systems that exhibit strong intermittent behavior with ``flights'', trappings, weak ...
Brudno A. A. +7 more
core +1 more source
Effect of awareness, quarantine and vaccination as control strategies on COVID-19 with Co-morbidity and Re-infection. [PDF]
Infect Dis Model, 2022 Saha AK, Saha S, Podder CN.
europepmc +1 more source
Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case. [PDF]
Entropy (Basel), 2021 Petrzela J.
europepmc +1 more source