3 problems
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Small-parameter conservativity-breaking conjecture for the Pikovsky-Topaj system
Let be the parameter of the Pikovsky-Topaj system, and let a conservativity-breaking bifurcation mean a bifurcation that produces the mixed dynamics associated with…
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Dense heteroclinic-cycle conjecture for the Pikovsky-Topaj system
Let and be the parameter values delimiting the interval in which the pair of non-conservative period-3 saddles exists, and suppose their J…
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Reversible Mixed Dynamics Conjecture for symmetric homoclinic and heteroclinic cycles
A reversible system may have symmetric homoclinic and heteroclinic cycles undergoing codimension-1 bifurcations. The associated mixed dynamics is the coexistence of infinitely many…