Results 41 to 50 of about 577,183 (211)

An isolated saddle-node bifurcation occurring inside a horseshoe [PDF]

Dynamics and Stability of Systems, 2000
In this paper, we consider a smooth arc of diffeomorphisms which has a saddle-node bifurcation inside a nontrivial invariant set which is a deformation of a horseshoe. We show that this saddle-node bifurcation is isolated, that is, its hyperbolicity is maintained before and after the saddle-node bifurcation.
Cao, Yongluo, Kiriki, Shin
openaire   +2 more sources

The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response

Ibn Al-Haitham Journal for Pure and Applied Sciences
In this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established.
Asmaa Aziz, Azhar Abbas Majeed
doaj   +1 more source

A saddle-node bifurcation may be causing the AMOC collapse in the Community Earth System Model [PDF]

Earth System Dynamics
Recently, a collapse of the Atlantic Meridional Overturning Circulation (AMOC) was found in the Community Earth System Model (CESM) under constant pre-industrial greenhouse gas forcing conditions.
R. M. van Westen, E. Vanderborght, H. A. Dijkstra   +2 more
doaj   +1 more source

Nonlinear Dynamics and Invariants of Motion in ReRAM Cells

Advanced Electronic Materials, EarlyView.
A second‐order cell, hosting one capacitor and two back‐to‐back ReRAMs, admits Invariants of Motion: its states lie on one‐dimensional manifolds at all times. The cell shows quiescent monostability or bistability, depending on the manifold index. At equilibrium, the capacitor voltage vanishes.
Mauro Di Marco, Mauro Forti, Luca Pancioni, Giacomo Innocenti, Alberto Tesi, Alon Ascoli   +5 more
wiley   +1 more source

Excitability in a model with a saddle-node homoclinic bifurcation

Discrete and Continuous Dynamical Systems - B, 2004
In order to describe excitable reaction-diffusion systems, we derive a two-dimensional model with a Hopf and a semilocal saddle-node homoclinic bifurcation. This model gives the theoretical framework for the analysis of the saddle-node homoclinic bifurcation as observed in chemical experiments, and for the concepts of excitability and excitability ...
Dilão, Rui, Volford, András
openaire   +3 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

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

Anatomy and variation in the paraphyletic Mosasaurus lemonnieri assemblage from the Craie phosphatée de ciply, Belgium

The Anatomical Record, EarlyView.
Abstract Nineteenth century excavations of the Ciply‐Malogne Phosphatic Chalk Formation in Hainaut, Belgium, yielded over 50 partial mosasaur skeletons, the majority of which were referred to the species Mosasaurus lemonnieri Dollo, 1889. In the years since, this taxon has experienced a complicated taxonomic history, and its exceptional hypodigm has ...
Henry S. Sharpe, Hallie P. Street‐Sampson, Takuya Konishi, Michael W. Caldwell   +3 more
wiley   +1 more source

Color Symmetry Breaking in a Nonlinear Optical Microresonator

Laser &Photonics Reviews, EarlyView.
A two‐color pump drives an integrated microring resonator into spontaneous color symmetry breaking mediated by the nonlinear Kerr effect. Above threshold, one optical color becomes spontaneously dominant while the other is submissive, with the selected output state emerging randomly. These results establish a new form of symmetry breaking in integrated
Luca O. Trinchão, Alekhya Ghosh, Arghadeep Pal, Haochen Yan, Toby Bi, Shuangyou Zhang, Nathalia B. Tomazio, Flore K. Kunst, Lewis Hill, Gustavo S. Wiederhecker, Pascal Del'Haye   +10 more
wiley   +1 more source

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14697-14743, 15 September 2026.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source