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Combinatorial Hopf Algebras, Twisted Structures, and Species
Algebra and Applications, 2021Various definitions of combinatorial Hopf algebras have been proposed in the literature but no one has been adopted uniformly. Here, we use the name to denote Hopf algebraic structures associated to sets of objects related naturally to a countable alphabet.
P. Cartier, F. Patras
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Noncommutative symmetric functions and combinatorial Hopf algebras
2011We present on a few examples a class of algebras which are increasingly popular in Combinatorics, and tend to permeate other fields as well. In particular, some of these algebras have connections with mould calculus and resurgence theory. They can be approached in many different ways.
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The combinatorial Hopf algebra of motivic dissection polylogarithms
201338 ...
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Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems
Physics Reports, 2022David J W Simpson
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Chaos, Hopf bifurcation and control of a fractional-order delay financial system
Mathematics and Computers in Simulation, 2022He Ke
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2017
Zhen Wang, Yuxia Li, Xia Huang
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Zhen Wang, Yuxia Li, Xia Huang
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