Results 41 to 50 of about 2,533 (183)

Global Structural Stability of a Saddle Node Bifurcation [PDF]

Transactions of the American Mathematical Society, 1978
S. Newhouse, J. Palis, and F. Takens have recently proved the global structural stability of a one parameter unfolding of a saddle node when the nonwandering set is finite and transversality conditions are satisfied. (The diffeomorphism is Morse-Smale except for the saddle node.) Using their local unfolding of a saddle node and our method of compatible
openaire   +2 more sources

Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation

Applied Sciences
The dynamical behavior of a Duffing oscillator under periodic excitation is investigated using semi-analytical methods. Bifurcation trees with varying periodic excitation are constructed.
Yan Liu, Zehua Yang, Taokai Mao, Wencheng Li   +3 more
doaj   +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

Multi‐Stability of the Present‐Day Atlantic Meridional Overturning Circulation

WIREs Climate Change, Volume 17, Issue 2, March/April 2026.
There is much supporting evidence (freshwater export, paleo records, model hierarchy) that the present‐day AMOC is in a multi‐stable regime. ABSTRACT The Atlantic Meridional Overturning Circulation (AMOC) plays a key role in the climate system, especially in the global meridional heat transport.
Henk A. Dijkstra, René M. van Westen, Amber A. Boot, Jelle Soons, Emma Smolders, Elian Vanderborght, Ayako Abe‐Ouchi, Cristina Arumí‐Planas, Maya Ben‐Yami, Niklas Boers, Kristin Burmeister, Paola Cessi, Peter Ditlevsen, Johannes Lohmann, Sybren Drijfhout, Matthew H. England, Caroline Katsman, Jennifer Mecking, Stefan Rahmstorf, Meric Srokosz, Wilbert Weijer, Richard Wood   +21 more
wiley   +1 more source

Bifurcation of an SIRS Model with a Modified Nonlinear Incidence Rate

Mathematics, 2023
An SIRS epidemic model with a modified nonlinear incidence rate is studied, which describes that the infectivity is strong at first as the emergence of a new disease or the reemergence of an old disease, but then the psychological effect will weaken the ...
Yingying Zhang, Chentong Li
doaj   +1 more source

Homoclinic Saddle-Node Bifurcations in Singularly Perturbed Systems

Journal of Dynamics and Differential Equations, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doelman, A., Hek, G.M.
openaire   +4 more sources

Backward bifurcation and saddle-node bifurcation in virus-immune dynamics

, 2021
Recently, Wang and Xu [ Appl. Math. Lett. 78 (2018) 105-111] studied thresholds and bi-stability in virus-immune dynamics. In this paper, we show there also exist backward bifurcation and saddle node bifurcation in this model. Our investigation demonstrates the existence of post-bifurcation phenomenon in the system when the immune strength was selected
Wang, Tengfei, Wang, Shaoli, Xu, Fei
openaire   +2 more sources

A complex network perspective on brain disease

Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley   +1 more source

Morphological and molecular evidence reveals a new species of Characidium from the Ucayali‐Urubamba Piedmont, Peru, and novel molecular clades are proposed within the genus

Journal of Fish Biology, Volume 108, Issue 2, Page 584-595, February 2026.
Abstract A new species of Characidium is described from the Urubamba River basin, within the Ucayali‐Urubamba Piedmont ecoregion, Peru. The new species can be readily distinguished from all congeners, except Characidium cacah, Characidium chicoi, Characidium helmeri, Characidium mirim, Characidium nana, Characidium nupelia, Characidium sterbai ...
Leonardo Oliveira‐Silva, Ricardo Britzke, Vanessa Meza‐Vargas, Max H. Hidalgo, Dario Faustino‐Fuster, Claudio Oliveira, Angela Maria Zanata   +6 more
wiley   +1 more source

Mathematical Modeling of Forest Biomass Dynamics: A Focus on Seedling Contribution in Case of Wonsho Woreda (Kileye and Gishere), Sidama Regional State, Ethiopia

Natural Resource Modeling, Volume 39, Issue 1, February 2026.
ABSTRACT In this study, we introduce a mathematical ecology model that describes the interactions among forest biomass, the human population, various development activities, and seedlings. The study applies modified Leslie‐Gower and Holling type II functional responses to capture these interactions.
Shegena Geshele Donka, Mohammed Yiha Dawed, Kiros Gebrearegawi Kebedow   +2 more
wiley   +1 more source