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📙 Strange Attractors. Creating Patterns in Chaos by Julien C. Sprott — free pdf




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Strange Attractors - Creating Patterns in Chaos

Strange attractors for periodically forced parabolic equations
Strange attractors for periodically forced parabolic equations free epub by Kening Lu, Qiudong Wang, Lai-Sang Young

The authors prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behaviour. Specifically, strange attractors with SRB measures are shown to exist. Th...

Chaos Theory Tamed
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Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning...

Strange Attractors: Poems of Love and Mathematics
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Strange Attractors is a collection of approximately 150 poems with strong links to mathematics in content, form, or imagery. The common theme is love, and the editors draw from its various manifestations—romantic love, spiritual love, humorous love, love ...

Chaos Theory Tamed
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Chaos Surrounds us. Seemingly random events - the flapping of a flag, a storm-driven wave striking the shore, a pinball's path - often appear to have no order, no rational pattern. Explicating the theory of chaos and the consequences of its principal find...

Borrowed Knowledge: Chaos Theory and the Challenge of Learning across Disciplines
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The discipline of nonlinear dynamics has developed explosively in all areas of physics over the last two decades. This comprehensive primer summarizes the main developments in the mathematical theory of dynamical systems, chaos, pattern formation and comp...