Bernoulli's Light Ray Solution of the Brachistochrone Problem Through Hamilton's Eyes

DOI10.1142/S0218127414400094zbMath1300.01014MaRDI QIDQ2930470

Henk W. Broer

Publication date: 19 November 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

variational principlegeometric opticsHamilton principlebrachistochroneFermat principle

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) History of calculus of variations and optimal control (49-03) History of mathematics in the 17th century (01A45) Optimality conditions for problems involving ordinary differential equations (49K15) Geometric optics (78A05)

Related Items (3)

Weak and strong solutions to the inverse-square brachistochrone problem on circular and annular domains ⋮ A review of the variational methods for solving DC circuits ⋮ Getting into the vortex: on the contributions of James Montaldi

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