Results 81 to 90 of about 17,826 (235)

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

The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada

Population Ecology, Volume 67, Issue 4, Page 363-378, October 2025.
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley   +1 more source

Bistable Chimera Attractors on a Triangular Network of Oscillator Populations

, 2010
We study a triangular network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but more weakly to those in neighboring ...
Erik A. Martens, J. von Neumann, Y. Kuramoto, Y. Kuramoto   +3 more
core   +1 more source

Real saddle-node bifurcation from a complex viewpoint [PDF]

Conformal Geometry and Dynamics of the American Mathematical Society, 2008
During a saddle-node bifurcation for real analytic interval maps, a pair of fixed points, attracting and repelling, collide and disappear. From the complex point of view, they do not disappear, but just become complex conjugate. The question is whether those new complex fixed points are attracting or repelling.
Misiurewicz, M., Pérez, R.
openaire   +2 more sources

Abrupt Loss of Soil Organic Carbon Following Disturbance in Seagrass Ecosystems

Global Biogeochemical Cycles, Volume 39, Issue 10, October 2025.
Abstract Seagrasses are key carbon sinks in the biosphere and, when intentionally conserved or restored, constitute a promising natural solution for climate change mitigation. Unfortunately, they are also experiencing major anthropogenic and climatic pressures that can lead to seagrass degradation or even result in difficult‐to‐reverse abrupt shifts (i.
Antoine Le Vilain, Elisa Thébault, Eugenia T. Apostolaki, Oscar Serrano, Vasilis Dakos   +4 more
wiley   +1 more source

Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects

Mathematical Biosciences and Engineering
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and
Mengyun Xing, Mengxin He, Zhong Li
doaj   +1 more source

Bifurcation Boundary Conditions for Switching DC-DC Converters Under Constant On-Time Control

, 2012
Sampled-data analysis and harmonic balance analysis are applied to analyze switching DC-DC converters under constant on-time control. Design-oriented boundary conditions for the period-doubling bifurcation and the saddle-node bifurcation are derived. The
A Aroudi El, A Eisinberg, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, Chung-Chieh Fang, CK Tse, CP Basso, D Cafagna, DC Hamill, E Fossas, F Angulo, FCY Lee, FD Tan, GC Verghese, J Li, J Li, J Sun, J Wang, JW Woude van der, M-F Danca, R Redl, RB Ridley, RW Erickson, SK Mazumder, T Qian, W Tang, Y-C Lin, YA Kuznetsov   +37 more
core   +2 more sources

Saddle-node bifurcations of multiple homoclinic solutions in ODES

Discrete & Continuous Dynamical Systems - B, 2017
The authors study periodic perturbations of differential equations possessing a homoclinic orbit along which the tangent spaces of the corresponding stable and unstable manifolds intersect in a three-dimensional space. This paper can be seen as a continuation of the work ``Multiple transverse homoclinic solutions near a degenerate homoclinic orbit ...
Lin, Xiao-Biao, Zhu, Changrong
openaire   +1 more source

Two new species of stone loaches of the genus Barbatula (Cypriniformes: Nemacheilidae) from Europe with a neotype designation of B. barbatula (Teleostei: Nemacheilidae)

Journal of Fish Biology, Volume 107, Issue 4, Page 1364-1397, October 2025.
Abstract Ten species of Barbatula are recognised in Europe, west of the Urals: B. barbatula, B. caucasica, B. hispanica, B. leoparda, B. pironae, B. quignardi, B. sturanyi, B. taurica, B. vardarensis and B. zetensis, with B. caucasica and B. taurica formerly considered subspecies of B. barbatula.
Bárbara B. Calegari, Jörg Freyhof, Conor Waldock, Bernhard Wegscheider, Dario Josi, Lukas Rüber, Ole Seehausen   +6 more
wiley   +1 more source

A New Chaotic System With Two Stable Node-Foci Equilibria and an Unstable Saddle-Focus Equilibrium: Bifurcation and Multistability Analysis, Circuit Design, Voice Cryptosystem Application, and FPGA Implementation

IEEE Access
In the recent years, significant research interest has been devoted in the modelling and applications of chaotic systems with stable equilibria. In this research study, we propose a new 3-D chaotic system with two stable node-foci equilibria and an ...
Talal Bonny, Sundarapandian Vaidyanathan, Wafaa Al Nassan, Fareh Hannachi, Aceng Sambas   +4 more
doaj   +1 more source