Results 31 to 40 of about 16,168 (183)

Dynamics of a state-dependent delay-differential equation

Electronic Journal of Qualitative Theory of Differential Equations
We present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon, Antony Humphries, Michael Mackey, Hans-Otto Walther, Zhao Wang   +4 more
doaj   +1 more source

Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space

Abstract and Applied Analysis, 2011
This paper is concerned with distribution of maps with transversal homoclinic orbits in a continuous map space, which consists of continuous maps defined in a closed and bounded set of a Banach space.
Qiuju Xing, Yuming Shi
doaj   +1 more source

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial

, 2012
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A., Afraimovich V., Afraimovich V., ANDREY SHILNIKOV, Barrio R., Barrio R., Bykov V. V., Glendinning P., Gonchenko S. V., Hubner U., LEONID SHILNIKOV, Malkin M., ROBERTO BARRIO, Roshchin N., Rychlic M., Shilnikov A., Shilnikov L., Shilnikov L., Shilnikov L., Shilnikov L. P.   +19 more
core   +1 more source

The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues

Abstract and Applied Analysis, 2013
The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four-dimensional systems. The coexistence or noncoexistence of large 1-homoclinic orbit and large 1-periodic orbit near double homoclinic loops is given ...
Xiaodong Li, Weipeng Zhang, Fengjie Geng, Jicai Huang   +3 more
doaj   +1 more source

Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations

, 2015
The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process.
Guckenheimer, John, Lizarraga, Ian
core   +1 more source

Homoclinic and heteroclinic solutions to a hepatitis C evolution model

Open Mathematics, 2018
Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas, Navickas Zenonas, Marcinkevicius Romas, Cao Maosen, Ragulskis Minvydas   +4 more
doaj   +1 more source

Homoclinic orbits and chaos in a pair of parametrically-driven coupled nonlinear resonators

, 2010
We study the dynamics of a pair of parametrically-driven coupled nonlinear mechanical resonators of the kind that is typically encountered in applications involving microelectromechanical and nanoelectromechanical systems (MEMS & NEMS). We take advantage
A. Cleland, Eyal Kenig, R. Lifshitz, Ron Lifshitz, S. Wiggins, S. Zaitsev, V. K. Melnikov, Yuriy A. Tsarin   +7 more
core   +1 more source

Bifurcation and chaos for piecewise nonlinear roll system of rolling mill

Advances in Mechanical Engineering, 2017
A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed.
Chundi Si, Ruilan Tian, Jingjing Feng, Xinwei Yang   +3 more
doaj   +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

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source