Results 31 to 40 of about 24,896 (183)

Discontinuous collocation methods and gravitational self-force applications

, 2021
Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole perturbation ...
Barack, Leor, Brubeck, Pablo D., Markakis, Charalampos, O'Boyle, Michael F.   +3 more
core   +1 more source

Shilnikov problem in Filippov dynamical systems

, 2019
In this paper we introduce the concept of sliding Shilnikov orbits for $3$D Filippov systems. In short, such an orbit is a piecewise smooth closed curve, composed by Filippov trajectories, which slides on the switching surface and connects a Filippov ...
Novaes, Douglas D., Teixeira, Marco A.
core   +1 more source

Dynamics at a switching intersection:hierarchy, isonomy, and multiple-sliding [PDF]

, 2014
If a set of ordinary differential equations is discontinuous along some thresh- old, solutions can be found that are continuous, if sometimes multi-valued.
Jeffrey, Mike R
core   +2 more sources

On the limit cycles of a class of discontinuous piecewise linear differential systems

Discrete & Continuous Dynamical Systems - B, 2020
In this paper we consider discontinuous piecewise linear differential systems whose discontinuity set is a straight line L which does not pass through the origin. These systems are formed by two linear differential systems of the form ̇x= Ax ± b. We study the limit cycles of this class of discontinuous piecewise linear differential systems.
Llibre, Jaume, de A. S. Menezes, Lucyjane   +1 more
openaire   +7 more sources

Smoothing tautologies, hidden dynamics, and sigmoid asymptotics for piecewise smooth systems [PDF]

, 2015
Switches in real systems take many forms, such as impacts, electronic relays, mitosis, and the implementation of decisions or control strategies. To understand what is lost, and what can be retained, when we model a switch as an instantaneous event ...
Bender C. M., di Bernardo M., Edwards C., Guckenheimer J., Guckenheimer J., Hill A. V., Mike R. Jeffrey, Sotomayor J., Ueda Y.   +8 more
core   +3 more sources

On the periodic solutions of discontinuous piecewise differential systems

, 2015
Motivated by problems coming from different areas of the applied science we study the periodic solutions of the following differential system $$x'(t)=F_0(t,x)+\varepsilon F_1(t,x)+\varepsilon^2 R(t,x,\varepsilon),$$ when $F_0$, $F_1$, and $R$ are discontinuous piecewise functions, and $\varepsilon$ is a small parameter. It is assumed that the manifold $
Llibre, Jaume, Novaes, Douglas Duarte
openaire   +2 more sources

Limit Cycles of Some Families of Discontinuous Piecewise Differential Systems Separated by a Straight Line

International Journal of Bifurcation and Chaos, 2023
In the past years the study of continuous or discontinuous piecewise differential systems has attracted significant interest, due to their wide use to model many natural phenomena. Important questions such as finding an upper bound for the number of limit cycles of such systems and their possible configurations have been considered by many authors ...
Baymout, Louiza, Benterki, Rebiha, Llibre, Jaume   +2 more
openaire   +2 more sources

Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold

, 2018
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family.
Bastos, Jéfferson L. R., Buzzi, Claudio A., Llibre, Jaume, Novaes, Douglas D.   +3 more
core   +1 more source

Aspects of Bifurcation Theory for Piecewise-Smooth, Continuous Systems

, 2010
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review some of the phenomena that can occur for piecewise-smooth, continuous maps and flows when a fixed point or an equilibrium collides with a surface on ...
Arima, Asai, Banerjee, Belghith, Brogliato, Caballé, Campbell, Carmona, Carmona, Carmona, Casey, Chang, Chin, Chua, Colombo, Coombes, D.J.W. Simpson, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, Do, Do, Feigin, Filippov, Freire, Freire, Ganguli, Gardini, Glendinning, Gonçalves, Guardia, Hadeler, Hassouneh, Hommes, Iwatani, J.D. Meiss, Johansson, Küpper, Küpper, Lagarias, Laugesen, Leine, Leine, Leine, Liberzon, Lin, Llibre, Lum, Maistrenko, Mosekilde, Nusse, Nusse, Popp, Rasband, Rosen, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Sparrow, Sushko, Sushko, Szalai, Szalai, Tiesinga, Tse, Van der Schaft, Yang, Yuan, Zhao, Zhao, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zou, Zou   +85 more
core   +1 more source

Hierarchical Multi‐Material Architectures With Gradient Design for Dynamic‐Range Flexible Tactile Sensing

Advanced Materials Technologies, EarlyView.
Hierarchical multi‐material TPMS lattices are engineered as flexible tactile sensors by combining soft and stiff elastomeric layers with a conformal conductive coating. The bilayer architecture delivers sensitivity at low pressures while maintaining a broad detectable range under large loads, enabling reliable pressure and vibration monitoring for ...
Reza Noroozi, Domenic Quiquero, Yan Yan Shery Huang, HaoTian Harvey Shi   +3 more
wiley   +1 more source