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COMPUTING TOPOLOGICAL INVARIANTS IN BOUNDARY VALUE PROBLEMS REDUCIBLE TO DIFFER...
Severino, Ricardo; Sharkovsky, Alexander; Sousa Ramos, José; Vinagre, SandraAmong boundary values problems (BVP) for partial differential equations there are certain classes of problems reducible to difference equations. Effective study of such problems has became possible in the last 20-30 years owing to appreciable advances done also in the theory of difference equations with discrete time, specifically given by one-dimensional maps. Here we apply how this reduction method may be use...
Topological invariants in a model of a time-delayed Chua's circuit
Severino, Ricardo; Sharkovsky, Alexander; Sousa Ramos, José; Vinagre, SandraIn the last 30 years, some authors have been studying several classes of boundary value problems (BVP) for partial differential equations (PDE) using the method of reduction to obtain a difference equation with continuous argument which behavior is determined by the iteration of a one-dimensional (1D) map (see, for example, Romanenko, E. Yu. and Sharkovsky, A. N., International Journal of Bifurcation and Chaos ...
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