Results 111 to 120 of about 35,466 (285)

A Series of Saddle - Node Bifurcation and Chaotic Behavior of a Family of a Semi - Triangular Maps [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2013
This paper studies the bifurcations in dynamics of a family of semi-triangular maps . We will prove that this family has a series of Saddle-node bifurcations and a period doubling bifurcation.
Salma Faris, Ammar Jameel
doaj   +1 more source

Collision and Annihilation of Relative Equilibrium Points Around Asteroids with a Changing Parameter [PDF]

, 2015
In this work, we investigate the bifurcations of relative equilibria in the gravitational potential of asteroids. A theorem concerning a conserved quantity, which is about the eigenvalues and number of relative equilibria, is presented and proved. The conserved quantity can restrict the number of non-degenerate equilibria in the gravitational potential
arxiv   +1 more source

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang, Ting Gao, Jin Guo, Jinqiao Duan   +3 more
wiley   +1 more source

Analysis of degenerate Chenciner bifurcation [PDF]

International Journal of Bifurcation and Chaos Vol. 30, No. 16, 2050245 (2020)
Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the non-degenerate Chenciner bifurcation can be described by 2 bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.
arxiv   +1 more source

Homoclinic Saddle-Node Bifurcations and Subshifts in a Three-Dimensional Flow [PDF]

Archive for Rational Mechanics and Analysis, 1998
We study a two‐parameter family of three‐dimensional vector fields that are small perturbations of an integrable system possessing a line Γ of degenerate saddle points connected by a manifold of homoclinic loops. Under perturbation, this manifold splits and undergoes a quadratic homoclinic tangency. Perturbation methods followed by geometrical analyses
Hek, G., Doelman, A., Holmes, P.
openaire   +6 more sources

Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor

Advanced Electronic Materials, Volume 11, Issue 8, June 2025.
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli, Ahmet Samil Demirkol, Ioannis Messaris, Vasilis Ntinas, Dimitris Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon Chua   +12 more
wiley   +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

Bifurcations in two-dimensional reversible maps [PDF]

, 1990
We give a treatment of the non-resonant bifurcations involving asymmetric fixed points with Jacobian J≠1 in reversible mappings of the plane. These bifurcations include the saddle-node bifurcation not in the neighbourhood of a fixed point with J≠1, as ...
Capel, H.W., Post, T., Quispel, G.R.W., Weele, J.P. van der   +3 more
core   +3 more sources

feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models

AIMS Mathematics
Considering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated.
Weili Kong, Yuanfu Shao
doaj   +1 more source

Lorenz attractor through saddle-node bifurcations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1996
In this paper we consider the unfolding of a geometric Lorenz attractor when the singularity contained in this attractor goes through a saddle-node bifurcation. It is shown that these unfoldings can carry such a geometric Lorenz attractor either directly into a hyperbolic Plykin attractor or into phenomena associated to the unfolding of homoclinic ...
openaire   +3 more sources