International Journal of Bifurcation and Chaos · 2006 · 34 citations · 7 references
Natural SciencesMathematicsComplex SystemsDynamical SystemsSystem DynamicsBifurcation TheoryChaos TheoryControl Of Dynamical SystemsControl TheoryNonlinear DynamicsPeriodic OrbitsBifurcationBifurcation Analysis In Control SystemsBifurcation Of Periodic OrbitsInvariant Sets
In this paper, we examine the localization problem of compact invariant sets of systems with the differentiable right-side. The localization procedure consists in applying the iterative algorithm based on the first order extremum condition originally proposed by one of authors for periodic orbits. Analysis of a location of compact invariant sets of the Lanford system is realized for all values of its bifurcational parameter.
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