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arxiv: physics/0509242 · v1 · submitted 2005-09-29 · ⚛️ physics.bio-ph · math-ph· math.MP

Mathematical methods of factorization and a feedback approach for biological systems

classification ⚛️ physics.bio-ph math-phmath.MP
keywords mathematicalpartapproachbelongingbiologicalchaoticcontainscontrol
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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.

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