Results 51 to 60 of about 740,255 (159)

Analysis of a quadratic system obtained from a scalar third order differential equation

Electronic Journal of Differential Equations, 2010
In this article, we study the nonlinear dynamics of a quadratic system in the three dimensional space which can be obtained from a scalar third order differential equation.
Fabio Scalco Dias, Luis Fernando Mello
doaj  

Chaotic and Hopf Bifurcation Analysis of the Stretch-Twist-Fold Flow System in a Fractional Order

Zanco Journal of Pure and Applied Sciences
This study investigates a modified fractional Stretch-Twist-Fold (STF) model with a Caputo fractional-order derivative. The local stability and Hopf bifurcation of equilibrium points are analyzed by using an Adams-type predictor-corrector method ...
Sardar Rashid Fattah, Niazy Hady Hussein, Sheelan Abdulkader Osman   +2 more
doaj   +1 more source

Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system [PDF]

, 2002
A simple compression system model, described by a set of three ordinary nonlinear differential equations (the Moore-Greitzer model) is studied using bifurcation analysis to give a qualitative understanding of the presence of surge and rotating stall ...
Kullmann, L, Champneys, AR, Hos, C
core  

A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.
Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical ...
Klaus Regenauer‐Lieb, Manman Hu, Qingpei Sun, Chong Liu, Zhennan Zhu, Victor Calo   +5 more
wiley   +1 more source

Degenerate Fold-Hopf Bifurcations in a Rössler-Type System

, 2021
We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation ...
Tigan, Gheorghe, Llibre, Jaume, Ciurdariu, Loredana   +2 more
core  

A Virtual Clinical Trial of Psychedelics to Treat Patients With Disorders of Consciousness

Advanced Science, Volume 13, Issue 11, 23 February 2026.
Disorders of consciousness after severe brain injury are marked by reduced complexity of brain activity and limited treatment options. Using personalized whole‐brain models, this study shows that simulated lysergic acid diethylamide (LSD) and psilocybin shift patient brain dynamics closer to criticality.
Naji L.N. Alnagger, Paolo Cardone, Charlotte Martial, Yonatan Sanz Perl, Iván Mindlin, Jacobo D Sitt, Leor Roseman, Robin Carhart‐Harris, David Nutt, Pablo Mallaroni, Natasha Mason, Johannes G Ramaekers, Vincent Bonhomme, Steven Laureys, Gustavo Deco, Olivia Gosseries, Pablo Núñez, Jitka Annen   +17 more
wiley   +1 more source

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source

Numerical analysis of dynamical systems with codimension two singularities [PDF]

, 2009
Páez Chávez JN. Numerical analysis of dynamical systems with codimension two singularities.
Páez Chávez, Joseph Nikolai
core  

TVB C++: A Fast and Flexible Back‐End for The Virtual Brain

Advanced Science, Volume 13, Issue 2, 9 January 2026.
TVB C++ is a streamlined and fast C++ Back‐End for The Virtual Brain (TVB), designed to make it as flexible as TVB, and FAST. Another pillar is to be fully compatible with TVB so easy bindings can be created from Python. Users can easily configure TVB C++ to execute the same code but with enhanced performance and parallelism.
Ignacio Martín, Gorka Zamora‐López, Jan Fousek, Michael Schirner, Petra Ritter, Viktor Jirsa, Gustavo Deco, Gustavo Patow   +7 more
wiley   +1 more source

The cusp–Hopf bifurcation [PDF]

, 2007
The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior.
W F Langford, J Harlim
core