41,754 research outputs found
Hysteresis in Adiabatic Dynamical Systems: an Introduction
We give a nontechnical description of the behaviour of dynamical systems
governed by two distinct time scales. We discuss in particular memory effects,
such as bifurcation delay and hysteresis, and comment the scaling behaviour of
hysteresis cycles. These properties are illustrated on a few simple examples.Comment: 28 pages, 10 ps figures, AMS-LaTeX. This is the introduction of my
Ph.D. dissertation, available at
http://dpwww.epfl.ch/instituts/ipt/berglund/these.htm
Weakly nonlocal irreversible thermodynamics
Weakly nonlocal thermodynamic theories are critically revisited. A
relocalized, irreversible thermodynamic theory of nonlocal phenomena is given,
based on a modified form of the entropy current and new kind of internal
variables, the so called current multipliers. The treatment is restricted to
deal with nonlocality connected to dynamic thermodynamic variables. Several
classical equations are derived, including Guyer-Krumhansl, Ginzburg-Landau and
Cahn-Hilliard type equations.Comment: 30 pages, no figure
Dynamics of Controlled Hybrid Systems of Aerial Cable-Ways
Dynamics of the hybrid systems of aerial cable-ways is investigated. The
eigenvalue problems are considered for such hybrid systems with different
assumptions. An overview of different methods for eigenvalue problems is given.
In the research, the method of the normal fundamental systems is applied, which
turns out to be very effective for the considered problems. Changes of
dynamical characteristics of the systems depending on the controlled parameter
are studied.Comment: Accepted (15-May-2006) to the Proceedings of the "International
Conference of Hybrid Systems and Applications", The University of Louisiana,
Lafayette, LA, USA, May 22-26 2006, to be published in the journal "Nonlinear
Analysis: Hybrid Systems and Applications
The effects of nonlocality on the evolution of higher order fluxes in non-equilibrium thermodynamics
The role of gradient dependent constitutive spaces is investigated on the
example of Extended Thermodynamics of rigid heat conductors. Different levels
of nonlocality are developed and the different versions of extended
thermodynamics are classified. The local form of the entropy density plays a
crucial role in the investigations. The entropy inequality is solved under
suitable constitutive assumptions. Balance form of evolution equations is
obtained in special cases. Closure relations are derived on a phenomenological
level.Comment: 16 pages, 1 figur
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