Mathematical methods of factorization and a feedback approach for biological systems

Abstract

The first part of the thesis is devoted to factorizations of linear and nonlinear differential equations leading to solutions of the kink type. The second part contains a study of the synchronization of the chaotic dynamics of two Hodgkin-Huxley neurons by means of the mathematical tools belonging to the geometrical control theory.

Ph. D. Thesis at IPICyT, San Luis Potosi, Mexico, 102 pp, 40 figs. Supervisors: Dr. H.C. Rosu and Dr. R. Femat

References in corpus (8)

• Synchronous Behavior of Two Coupled Biological Neurons
• Supersymmetric pairing of kinks for polynomial nonlinearities
• Nonlinear second order ODE's: Factorizations and particular solutions
• The factorization of the hypergeometric equation
• Riccati parameter modes from Newtonian free damping motion by supersymmetry
• Spectral properties on a circle with a singularity
• Classical harmonic oscillator with Dirac-like parameters and possible applications
• Microtubules: Montroll's kink and Morse vibrations