Elements of Applied Bifurcation Theory

By Y. Kuznetsov. Applied Mathematical Sciences, 2023

1,396 citations recorded by the source corpus.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/bbeb0f88937a5856c7697cd2565d1c4e46fee30d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mechanics of Materials

1. A. Amamou
2. M. Chouchane
3. Sergio Rinaldi
4. Fabio Dercole
5. Alessandra Gragnani

Citations in the corpus

• Nonlinear stability analysis of long hydrodynamic journal bearings using numerical continuation (2014, methodology): “Recent development in numerical continuation methods has provided the tools for the continuation and detection of bifurcations of the equilibrium point and limit cycles of a system of nonlinear ordinary differential equations [16–18].”
• Numerical sliding bifurcation analysis: an application to a relay control system (2003, methodology): “With the aim of obtaining the entire bifurcation diagram, the four bifurcations ( ), can be numerically continued in the space ( ). For this, one can use SLIDECONTd (see Section V), a specialized software for sliding bifurcation analysis, which implements the defining equations[ 16 ] of each bifurca”