Titlebook: Duality Principles in Nonconvex Systems; Theory, Methods and David Yang Gao Book 2000 Springer Science+Business Media Dordrecht 2000 Mathe

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Duality Principles in Nonconvex Systems978-1-4757-3176-7Series ISSN 1571-568X

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Aggregating: Humans Are Social Animals,From static equilibria to dynamical problems, this chapter presents the subject of duality theory for convex Hamiltonian systems. The framework for dynamics is the same as that for static systems, but, the duality theorems are more interesting.

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Bi-Duality in Dynamic SystemsFrom static equilibria to dynamical problems, this chapter presents the subject of duality theory for convex Hamiltonian systems. The framework for dynamics is the same as that for static systems, but, the duality theorems are more interesting.

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Heng Wang,Shijun Xie,Ganhua Ye,Bin Zhouhematical physics and of discrete systems of networks. By introducing abstract notations, we are able to see unifying structures in the different theories. Through pure mathematical analysis, the intrinsic inner beauty in physical nature can be revealed.

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Innovating: Humans Are Ingenious Animals,r one-dimensional nonconvex variational problems with applications to phase transitions, post-bifurcation, nonsmooth elastoplasticity and nonconvex dynamical systems. Because of the nonconvexity, the nice simple symmetry in the governing equations is broken and the beautiful one-to-one global dualit

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Aggregating: Humans Are Social Animals,. We begin with a special nonconvex variational problem with multi-well energy. Then, we present two powerful sequential dual transformations for general nonconvex systems with multi-well energy. These two methods produce two different duality theories. The classifications are discussed for general

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Political Governance of Wicked Problemsion of a so-called indicator functional of the feasible sets, many different problems subject to equality or inequality constraints can be put in a unified framework. The intrinsic relations among these well-known duality theories are revealed and the duality theory in geometrically linear systems i