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Applications Of Centre Manifold Theory
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Citations
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Journal ArticleDOI
Numerical computation of nonlinear normal modes in mechanical engineering
TL;DR: In this article, a review of the recent advances in computational methods for nonlinear normal modes (NNMs) is presented, and different algorithms for the computation of undamped and damped NNMs are discussed.
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Combined Flocking and Distance-Based Shape Control of Multi-Agent Formations
TL;DR: This work shows how the two concepts of formation shape control and flocking behavior can be combined when one changes from an agent with single integration to one with double integration.
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Computational Nosology and Precision Psychiatry.
TL;DR: An illustrative treatment of psychiatric morbidity that offers an alternative to the standard nosological model in psychiatry by considering what would happen if diagnostic categories were treated not as causes of signs and symptoms, but as diagnostic consequences of psychopathology and pathophysiology.
Journal ArticleDOI
A TB-HIV/AIDS coinfection model and optimal control treatment
TL;DR: A population model for TB-HIV/AIDS coinfection transmission dynamics, which considers antiretroviral therapy for HIV infection and treatments for latent and active tuberculosis, shows that non intuitive measures can lead to the reduction of the number of individuals with active TB and AIDS.
Journal ArticleDOI
The Connected Brain: Causality, models, and intrinsic dynamics
Adeel Razi,Karl J. Friston +1 more
TL;DR: This article summarizes pedagogically the (deep) history of brain mapping and highlights the theoretical advances made in the (dynamic) causal modeling of brain function, and provides a brief overview of recent developments and interesting clinical applications.
References
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Journal ArticleDOI
Numerical computation of nonlinear normal modes in mechanical engineering
TL;DR: In this article, a review of the recent advances in computational methods for nonlinear normal modes (NNMs) is presented, and different algorithms for the computation of undamped and damped NNMs are discussed.
Journal ArticleDOI
Combined Flocking and Distance-Based Shape Control of Multi-Agent Formations
TL;DR: This work shows how the two concepts of formation shape control and flocking behavior can be combined when one changes from an agent with single integration to one with double integration.
Journal ArticleDOI
Computational Nosology and Precision Psychiatry.
TL;DR: An illustrative treatment of psychiatric morbidity that offers an alternative to the standard nosological model in psychiatry by considering what would happen if diagnostic categories were treated not as causes of signs and symptoms, but as diagnostic consequences of psychopathology and pathophysiology.
Journal ArticleDOI
A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems
TL;DR: A method for testing whether an arbitrary dynamical system exhibits multiscale behavior and for estimating the time-scale separation is presented and how the reduced slow dynamics faithfully represents statistical features of the full dynamics which are not coordinate dependent is shown.
Journal ArticleDOI
A TB-HIV/AIDS coinfection model and optimal control treatment
TL;DR: A population model for TB-HIV/AIDS coinfection transmission dynamics, which considers antiretroviral therapy for HIV infection and treatments for latent and active tuberculosis, shows that non intuitive measures can lead to the reduction of the number of individuals with active TB and AIDS.