Global bifurcation destroying the experimental torusT2

Global bifurcation destroying the experimental torus T2.

We show experimentally the scenario of a two-frequency torus T2 breakdown, in which a global bifurcation occurs due to the collision of a torus with an unstable periodic orbit, creating a heteroclinic saddle connection, followed by an intermittent behavior.

Destroying Civilization, Destroying Nature

Global bifurcation analysis of the Lorenz system

We carry out the global bifurcation analysis of the classical Lorenz system. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and o...

Global Bifurcation for the Whitham Equation

We prove the existence of a global bifurcation branch of 2π-periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the global branch contains a sequence which converges uniformly to some solution of Hölder class C, α < 1 2 . Bifurcation formulas are given, as well as some properties along the global bifurcation branch. In addition, a spec...

global duty: attempts to stop destroying historical documents in mesopotamia

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