Motion with friction of a heavy particle on a manifold - applications to optimization

DOI10.1051/m2an:2002023zbMath1032.34059OpenAlexW2162769388MaRDI QIDQ4423072

Alexandre Cabot

Publication date: 25 August 2003

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_3_505_0

zbMATH Keywords

optimizationasymptotic behaviourgradient systemconvex minimizationdissipative dynamical systemheavy ball with frictionmechanics of particles

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Problems involving a system of particles with friction (70F40)

Related Items (3)

Inertial gradient-like dynamical system controlled by a stabilizing term ⋮ Asymptotics for some vibro-impact problems with a linear dissipation term ⋮ On damped second-order gradient systems

Cites Work

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• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
• THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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