[图书][B] Elements of applied bifurcation theory
YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …
impact of computer technology, the growing importance of computer modeling and the …
Micromechanical vibro-impact systems: a review
Spurred by the invention of the tapping-mode atomic force microscopy three decades ago,
various micromechanical structures and systems that utilize parts with mechanical impact …
various micromechanical structures and systems that utilize parts with mechanical impact …
Neural heterogeneity controls computations in spiking neural networks
The brain is composed of complex networks of interacting neurons that express
considerable heterogeneity in their physiology and spiking characteristics. How does this …
considerable heterogeneity in their physiology and spiking characteristics. How does this …
[图书][B] Numerical continuation and bifurcation in Nonlinear PDEs
H Uecker - 2021 - SIAM
In this book we consider solution branches and bifurcations in nonlinear partial differential
equations (PDEs) as models from science (and some economics). Given a nonlinear PDE …
equations (PDEs) as models from science (and some economics). Given a nonlinear PDE …
PyRates—A code-generation tool for modeling dynamical systems in biology and beyond
The mathematical study of real-world dynamical systems relies on models composed of
differential equations. Numerical methods for solving and analyzing differential equation …
differential equations. Numerical methods for solving and analyzing differential equation …
On the quality of stability and bifurcation sets in rotors with permanent shaft bow on nonlinear supports
The paper investigates the dynamics of simple and complex geometry rotors of various
configurations with permanent bow, mounted on nonlinear bearings, in regards to nonlinear …
configurations with permanent bow, mounted on nonlinear bearings, in regards to nonlinear …
Nonlinear dynamics of turbine generator shaft trains: evaluation of bifurcation sets applying numerical continuation
I Gavalas, A Chasalevris - … of Engineering for …, 2023 - asmedigitalcollection.asme.org
The nonlinear dynamics of turbine generator shaft trains for power generation are
investigated in this paper. Realistic models of rotors, pedestals, and nonlinear bearings of …
investigated in this paper. Realistic models of rotors, pedestals, and nonlinear bearings of …
Continuation and bifurcation in nonlinear PDEs–Algorithms, applications, and experiments
H Uecker - Jahresbericht der Deutschen Mathematiker …, 2022 - Springer
Numerical continuation and bifurcation methods can be used to explore the set of steady
and time–periodic solutions of parameter dependent nonlinear ODEs or PDEs. For PDEs, a …
and time–periodic solutions of parameter dependent nonlinear ODEs or PDEs. For PDEs, a …
Bifurcations of limit cycles in rotating shafts mounted on partial arc and lemon bore journal bearings in elastic pedestals
L Anastasopoulos… - Journal of …, 2022 - asmedigitalcollection.asme.org
The paper investigates the bifurcations encountered in a simple rotor dynamic system
interacting with nonlinear impedance forces, generated by the supporting journal bearings …
interacting with nonlinear impedance forces, generated by the supporting journal bearings …
A continuation technique for maximum likelihood estimators in biological models
T Cassidy - Bulletin of Mathematical Biology, 2023 - Springer
Estimating model parameters is a crucial step in mathematical modelling and typically
involves minimizing the disagreement between model predictions and experimental data …
involves minimizing the disagreement between model predictions and experimental data …