Modelling the cAMP pathway using BioNessie, and the use of BVP techniques for solving ODEs (Poster Presentation) [PDF]
, 2007 Copyright @ 2007 Gu et al; licensee BioMed Central LtdBiochemists often conduct experiments in-vivo in order to explore observable behaviours and understand the dynamics of many intercellular and intracellular processes.
Bhalla S Upinder +5 more
core +1 more source
Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging [PDF]
, 2009 We introduce a new class of integrators for stiff ODEs as well as SDEs. These integrators are (i) {\it Multiscale}: they are based on flow averaging and so do not fully resolve the fast variables and have a computational cost determined by slow variables
Bou-Rabee N. +9 more
core +3 more sources
Fluctuating Interfaces in Liquid Crystals [PDF]
, 2007 We review and compare recent work on the properties of fluctuating interfaces between nematic and isotropic liquid-crystalline phases. Molecular dynamics and Monte Carlo simulations have been carried out for systems of ellipsoids and hard rods with ...
Akino +20 more
core +2 more sources
Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach
Mathematics, 2021 Starting from a contact Hamiltonian description of Liénard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on the paradigmatic example of the van der Pol oscillator, we demonstrate that
Federico Zadra +2 more
doaj +1 more source
Multi-Adaptive Time-Integration [PDF]
, 2004 Time integration of ODEs or time-dependent PDEs with required resolution of the fastest time scales of the system, can be very costly if the system exhibits multiple time scales of different magnitudes.
Alexander +28 more
core +2 more sources
Integración por cuantificación de sistemas stiff
Revista Iberoamericana de Automática e Informática Industrial RIAI, 2007 Resumen: Este artículo presenta un nuevo método de integración numérica de ecuaciones diferenciales ordinarias basado en la cuantificación de las variables de estado.
Gustavo Migoni +2 more
doaj +1 more source
Adaptive Step Size Control of Extended/Unscented Kalman Filter Using Event Handling Concept
Frontiers in Mechanical Engineering, 2020 This paper presents a novel (Extended/Unscented) Kalman Filter by augmenting the event handling procedure of Ordinary Differential Equation (ODE) solvers with the predictor-corrector scheme of Extended/Unscented discrete Kalman Filter (EKF/UKF ...
Fateme Bakhshande, Dirk Söffker
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Nonlinear stiffness, Lyapunov exponents, and attractor dimension
, 1999 I propose that stiffness may be defined and quantified for nonlinear systems using Lyapunov exponents, and demonstrate the relationship that exists between stiffness and the fractal dimension of a strange attractor: that stiff chaos is thin chaos.Comment:
Cartwright, Julyan H. E.
core +4 more sources
A High Precision Direct Integration Scheme Based on Variational Principle and Its Applications
MATEC Web of Conferences, 2016 Dynamics response of systems to impact or loading may be effectively treated by direct integration. However, it is often difficult to select the time-step of integration properly, especially in the case which the system is badly stiff.
Zhu Shuai +3 more
doaj +1 more source
Femtosecond laser programmed artificial musculoskeletal systems
Nature Communications, 2020 Musculoskeletal systems are recognized as a model for designing robust yet flexible microbots but the development of artificial musculoskeletal systems at nanoscale currently remains challenging.
Zhuo-Chen Ma +6 more
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