Search for dissertations about: "homoclinic bifurcations"

Found 2 swedish dissertations containing the words homoclinic bifurcations.

  1. 1. Global bifurcations and chaotic dynamics in physical applications

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Martín G. Zimmermann; Uppsala universitet.; [1997]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Quantum chemistry; Global bifurcations; Šil´nikov phenomenon; degenerate homoclinic orbit; onset of spatiotemporal chaos; heteroclinic cycles; orientation- and inclination-flip bifurcations; Kvantkemi; NATURAL SCIENCES Chemistry Theoretical chemistry Quantum chemistry; NATURVETENSKAP Kemi Teoretisk kemi Kvantkemi; Quantum Chemistry; kvantkemi;

    Abstract : The aim of this work has been to analyse global bifurcations arising in a laser with injectedsignal and in a catalytic reaction on a surface of Pt, from the point of view of dynamicalsystems theory.The 3-dimensional ordinary differential equation which models the laser was found to contain a homoclinic orbit to a saddle-focus equilibrium, what corresponds to the Šil´nikov phenomenon. READ MORE

  2. 2. Get a grip on chaos : Tailored measures for complex systems on surfaces

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Sascha Firle; Uppsala universitet.; [1999]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Quantum chemistry; complex systems; chaos; predator prey; movement models; functional response; spatial heterogeneity; topological dynamics; braid template; homoclinic bifurcations; Kvantkemi; NATURAL SCIENCES Chemistry Theoretical chemistry Quantum chemistry; NATURVETENSKAP Kemi Teoretisk kemi Kvantkemi; Quantum Chemistry; kvantkemi;

    Abstract : Complex systems are ubiquitous in physics, biology and mathematics. This thesis is concerned with describing and understanding complex systems. Some new concepts about how large systems can be viewed in a lower dimensional framework are proposed. The systems presented are examples from ecology and chemistry. READ MORE