Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations.

DOI10.1007/s10492-016-0123-0zbMath1389.34045OpenAlexW2288037465MaRDI QIDQ265154

Petra Suková, Kumbakonam R. Rajagopal, Josef Málek

Publication date: 1 April 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144813

zbMATH Keywords

chaosPoincaré sectionsDuffing oscillatorbifurcation diagramrecurrence analysisBingham dashpotdifferential-algebraic systemimplicit constitutive relationsrigid-elastic spring

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Constrained dynamics, Dirac's theory of constraints (70H45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (1)

Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots

Uses Software

• K2

Cites Work

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