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Updated: Jul 17, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Shilnikov homoclinic orbit bifurcations in the Chua's circuit
R O Medrano-T1, M S Baptista, I L Caldas
1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, Brazil.
Abstract:
We analytically describe the complex scenario of homoclinic bifurcations in the Chua's circuit. We obtain a general scaling law that gives the ratio between bifurcation parameters of different nearby homoclinic orbits. As an application of this theoretical approach, we estimate the number of higher order subsidiary homoclinic orbits that appear between two consecutive lower order subsidiary orbits. Our analytical finds might be valid for a large class of dynamical systems and are numerically confirmed in the parameter space of the Chua's circuit.
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