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Numerical continuation in classical mechanics and thermodynamics
Gimenez, Aleix; chausse, victor; Meseguer Serrano, Álvaro
Universitat Politècnica de Catalunya. Departament de Física Aplicada; Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids
In this paper, modern numerical continuation methodologies are presented as a way of understanding and computing multiplicity of solutions in undergraduate physics problems. Mechanical and thermodynamical problems are used as a storyline to introduce the mathematical formalism required to clarify the distinction between the uniqueness and multiplicity of equilibrium solutions and the critical states of a nonlinear physical problem, as well as to illustrate how these novel numerical continuation techniques are implemented in practice. The paper provides simple numerical MATLAB codes that are easily adaptable to other problems, as well as updated software and literature resources.
Àrees temàtiques de la UPC::Física
Nonlinear systems
Double pendulums
numerical methods
nonlinear systems
arclength continuation
double pendulum
Sistemes no lineals

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