An event-driven method to simulate Filippov systems with accurate computing of sliding motions
PT Piiroinen, YA Kuznetsov - ACM Transactions on Mathematical …, 2008 - dl.acm.org
This article describes how to use smooth solvers for simulation of a class of piecewise
smooth systems of ordinary differential equations, called Filippov systems, with …
smooth systems of ordinary differential equations, called Filippov systems, with …
A review of nonlinear dynamics of mechanical systems in year 2008
SW Shaw, B Balachandran - Journal of System Design and …, 2008 - jstage.jst.go.jp
In this article, we provide an overview of a selection of topics of current interest in nonlinear
dynamics and vibrations of mechanical systems. Specifically, we cover the traditional topics …
dynamics and vibrations of mechanical systems. Specifically, we cover the traditional topics …
Sliding bifurcations of Filippov two stage pest control models with economic thresholds
S Tang, J Liang, Y Xiao, RA Cheke - SIAM Journal on Applied Mathematics, 2012 - SIAM
In order to control pests, a specific management strategy called the threshold policy is
proposed, which can be described by Filippov systems (or piecewise smooth systems). The …
proposed, which can be described by Filippov systems (or piecewise smooth systems). The …
[HTML][HTML] Dynamics of a self-propelled capsule robot in contact with different folds in the small intestine
Considering the anatomy of small intestine involving lesions, circular folds and tumours are
the major sources resisting the locomotion of capsule robots. By mimicking the small-bowel …
the major sources resisting the locomotion of capsule robots. By mimicking the small-bowel …
Control based bifurcation analysis for experiments
J Sieber, B Krauskopf - Nonlinear Dynamics, 2008 - Springer
We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear
dynamical systems. Our method does not require a mathematical model of the dynamical …
dynamical systems. Our method does not require a mathematical model of the dynamical …
On the Gause predator–prey model with a refuge: A fresh look at the history
V Křivan - Journal of theoretical biology, 2011 - Elsevier
This article re-analyses a prey–predator model with a refuge introduced by one of the
founders of population ecology Gause and his co-workers to explain discrepancies between …
founders of population ecology Gause and his co-workers to explain discrepancies between …
Grazing bifurcations and chatter in a pressure relief valve model
C Hős, AR Champneys - Physica D: Nonlinear Phenomena, 2012 - Elsevier
This paper considers a simple mechanical model of a pressure relief valve. For a wide
region of parameter values, the valve undergoes self-oscillations that involve impact with the …
region of parameter values, the valve undergoes self-oscillations that involve impact with the …
An SIR-Dengue transmission model with seasonal effects and impulsive control
JP Chávez, T Götz, S Siegmund, KP Wijaya - Mathematical biosciences, 2017 - Elsevier
In recent decades, Dengue fever and its deadly complications, such as Dengue
hemorrhagic fever, have become one of the major mosquito-transmitted diseases, with an …
hemorrhagic fever, have become one of the major mosquito-transmitted diseases, with an …
Two-sided damping constraint control strategy for high-performance vibration isolation and end-stop impact protection
Z Hao, Q Cao, M Wiercigroch - Nonlinear Dynamics, 2016 - Springer
In this paper, a two-sided damping constraint control strategy is proposed to improve the
performance of the quasi-zero stiffness isolator. The new control policy is achieved through …
performance of the quasi-zero stiffness isolator. The new control policy is achieved through …
TC-HAT (): A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems
P Thota, H Dankowicz - SIAM Journal on Applied Dynamical Systems, 2008 - SIAM
This paper describes the underlying formulation and functionality of the newly developed
software program \sctc (“tc-hat”), to perform bifurcation analysis of systems in which …
software program \sctc (“tc-hat”), to perform bifurcation analysis of systems in which …