Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
core +1 more source
Some results on the dynamics generated by the Bazykin model
A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamical systems (1985)] is analyzed in the case when two of the four parameters are kept fixed.
Georgescu, R M, Georgescu, A
doaj +1 more source
Chaos on Fuzzy Dynamical Systems
Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with ...
Félix Martínez-Giménez +2 more
core +1 more source
Normal form transformations for structural dynamics: An introduction for linear and nonlinear systems. [PDF]
The aim of this paper is to provide an introduction to using normal form transformations for linear and nonlinear structural dynamics examples. Starting with linear single-degree-of-freedom systems, a series of examples are presented that eventually lead to the analysis of a system of two coupled nonlinear oscillators.
openaire +2 more sources
Ultradiscrete equations for bifurcations in low-dimensional dynamical systems (Recent Developments in Dynamical Systems and their Applications) [PDF]
We discuss ultradiscrete equations in low-dimensional, especially, one-dimensional dynamical systems. The ultradiscrete equations are derived from the normal forms of the local bifurcations i.e., saddle-node, transcretical and pitchfork bifurcations, of ...
Ohmori, Shousuke, Yamazaki, Yoshihiro
core
Normal forms for the Laplace resonance [PDF]
We describe a comprehensive model for systems locked in the Laplace resonance. The framework is based on the simplest possible dynamical structure provided by the Keplerian problem perturbed by the resonant coupling truncated at second order in the ...
Pucacco, Giuseppe +2 more
core +1 more source
Self-similar cuspidal formation by runaway thermocapillary forces in thin liquid films
Many physical systems give rise to dynamical behavior leading to cuspidal shapes which represent a singularity of the governing equation. The cusp tip often exhibits self-similarity as well, indicative of scaling symmetry invariant in time up to a change
Chengzhe Zhou, Sandra M Troian
doaj +1 more source
Single-Mode and Dual-Mode Nongomogeneous Dissipative Structures in the Nonlocal Model of Erosion
We consider a periodic boundary-value problem for a nonlinear equation with the deviating spatial argument in the case when the deviation is small. This equation is called a spatially nonlocal erosion equation.
A. M. Kovaleva, D. A. Kulikov
doaj +1 more source
A normal form for spider diagrams of order [PDF]
We develop a reasoning system for an Euler diagram based visual logic, called spider diagrams of order. We de- fine a normal form for spider diagrams of order and provide an algorithm, based on the reasoning system, for producing diagrams in our normal ...
Simon Thompson +7 more
core +1 more source
State maps from bilinear differential forms [PDF]
State equations need often to be constructed from a higher-order model of a system, resulting for example from the interconnection of subsystems, or from system identification procedures.
van der Schaft, Arjan +3 more
core +1 more source

