Description:The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls 'exponential evolution of peaks'.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Creation of Strange Non-chaotic Attractors in Non-smooth Saddle-node Bifurcations (Memoirs of the American Mathematical Society). To get started finding The Creation of Strange Non-chaotic Attractors in Non-smooth Saddle-node Bifurcations (Memoirs of the American Mathematical Society), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
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The Creation of Strange Non-chaotic Attractors in Non-smooth Saddle-node Bifurcations (Memoirs of the American Mathematical Society)
Description: The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls 'exponential evolution of peaks'.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Creation of Strange Non-chaotic Attractors in Non-smooth Saddle-node Bifurcations (Memoirs of the American Mathematical Society). To get started finding The Creation of Strange Non-chaotic Attractors in Non-smooth Saddle-node Bifurcations (Memoirs of the American Mathematical Society), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.