Results 1 to 10 of about 103,434 (195)

AI-Guided Inference of Morphodynamic Attractor-like States in Glioblastoma [PDF]

Diagnostics
Background/Objectives: Glioblastoma (GBM) exhibits heterogeneous, nonlinear invasion patterns that challenge conventional modeling and radiomic prediction.
Simona Ruxandra Volovăț, Diana Ioana Panaite, Mădălina Raluca Ostafe, Călin Gheorghe Buzea, Dragoș Teodor Iancu, Maricel Agop, Lăcrămioara Ochiuz, Dragoș Ioan Rusu, Cristian Constantin Volovăț   +8 more
doaj   +2 more sources

Bifurcation Phenomena in Two-Dimensional Piecewise Smooth Discontinuous Maps [PDF]

, 2008
In recent years the theory of border collision bifurcations has been developed for piecewise smooth maps that are continuous across the border, and has been successfully applied to explain nonsmooth bifurcation phenomena in physical systems.
Alligood K. T., Back A., Biswambhar Rakshit, di Bernardo M., Guckenheimer J., Manjul Apratim, Mira C., Soumitro Banerjee   +7 more
core   +2 more sources

Topology, rigid cosymmetries and linearization instability in higher gauge theories [PDF]

, 2013
We consider a class of non-linear PDE systems, whose equations possess Noether identities (the equations are redundant), including non-variational systems (not coming from Lagrangian field theories), where Noether identities and infinitesimal gauge ...
Khavkine, Igor
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Spectral Contraction Framework for Planar Filippov Systems: Existence and Stability of Nonsmooth Periodic Orbits

Communications in Advanced Mathematical Sciences
We present a contraction-based framework for analyzing periodic behavior in planar nonsmooth dynamical systems governed by Filippov differential inclusions.
Pascal Stiefenhofer
doaj   +1 more source

Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm

Научно-технический вестник информационных технологий, механики и оптики
A wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable state vector is considered. The problem of finding a special function (Lyapunov function), which guarantees asymptotic stability for the presented class of ...
A. M. Zenkin, A. A. Peregudin, A. A. Bobtsov   +2 more
doaj   +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
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Model Reduction Near Periodic Orbits of Hybrid Dynamical Systems [PDF]

, 2015
We show that, near periodic orbits, a class of hybrid models can be reduced to or approximated by smooth continuous-time dynamical systems. Specifically, near an exponentially stable periodic orbit undergoing isolated transitions in a hybrid dynamical ...
Burden, Samuel A., Revzen, Shai, Sastry, S. Shankar   +2 more
core   +1 more source

Stabilization by Unbounded-Variation Noises

, 2015
In this paper, we claim the availability of deterministic noises for stabilization of the origins of dynamical systems, provided that the noises have unbounded variations. To achieve the result, we first consider the system representations based on rough
Nishimura, Yuki
core   +1 more source

Non-holonomy, critical manifolds and stability in constrained Hamiltonian systems

, 1999
We approach the analysis of dynamical and geometrical properties of nonholonomic mechanical systems from the discussion of a more general class of auxiliary constrained Hamiltonian systems.
Chen, Thomas
core   +1 more source

A stability theorem for minimal foliations on a torus [PDF]

, 2017
This paper is concerned with minimal foliations; these are foliations whose leaves are extremals of a prescribed variational problem, as for example foliations consisting of minimal surfaces.
Moser, Jürgen
core