Results 211 to 220 of about 55,626 (234)
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International Journal of Bifurcation and Chaos, 2011
The aim of this article is to review some basic concepts of the geometric theory of dynamical systems and stability. In this context, we also consider the related fundamental notions of broken symmetry, bifurcation and chaos. That of bifurcation is a very sophisticated mathematical concept, which displays a number of local and global behaviors of those
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The aim of this article is to review some basic concepts of the geometric theory of dynamical systems and stability. In this context, we also consider the related fundamental notions of broken symmetry, bifurcation and chaos. That of bifurcation is a very sophisticated mathematical concept, which displays a number of local and global behaviors of those
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Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
1995In this chapter we introduce and discuss the following fundamental notions that will be used throughout the book: topological equivalence of dynamical systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In
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16th Design Automation Conference: Volume 2 — Optimal Design and Mechanical Systems Analysis, 1990
Abstract A model is developed for analyzing mechanical systems with a pair of bodies with topological changes in their kinematic constraints. It is built upon the concept of Poincaré map rather than following the traditional methods of differential equations.
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Abstract A model is developed for analyzing mechanical systems with a pair of bodies with topological changes in their kinematic constraints. It is built upon the concept of Poincaré map rather than following the traditional methods of differential equations.
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Dynamical topological phase realized in a trapped-ion quantum simulator
Nature, 2022Philipp T Dumitrescu +2 more
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Engineered platforms for topological superconductivity and Majorana zero modes
Nature Reviews Materials, 2021Karsten Flensberg +2 more
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Topological materials discovery from crystal symmetry
Nature Reviews Materials, 2021Benjamin J Wieder +2 more
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Stability regions of nonlinear autonomous dynamical systems
IEEE Transactions on Automatic Control, 1988Hsiao-Dong Chiang, Hal L Smith
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Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
2008openaire +1 more source