Results 71 to 80 of about 7,371 (144)

Modeling the dynamics of glacial cycles [PDF]

, 2017
This article is concerned with the dynamics of glacial cycles observed in the geological record of the Pleistocene Epoch. It focuses on a conceptual model proposed by Maasch and Saltzman [J. Geophys. Res.,95, D2 (1990), pp.
A Khibnik, B Saltzman, B Saltzman, D Paillard, D Paillard, D Paillard, DZ Sun, EJ Doedel, EJ Doedel, G Dangelmayr, H Engler, H Poincaré, H Treut Le, HA Dijkstra, HW Broer, J Carr, J Guckenheimer, J Imbrie, J Laskar, J Marshall, JD Hayes, JR Petit, KA Maasch, KH Cook, M Crucifix, M Ghil, M Milankovič, M Raymo, NJ Shackleton, P Ashwin, P Clark, P Huybers, P Huybers, P Huybers, R Cushman, RI Bogdanov, S Rutherford, V Arnold, V Melnikov, Y Ashkenazy, YA Kuznetsov, YA Kuznetsov   +41 more
core   +2 more sources

A Numerical Study of Codimension-Two Bifurcations of an SIR-Type Model for COVID-19 and Their Epidemiological Implications

Communication in Biomathematical Sciences, 2023
We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -the susceptible individuals' cautiousness level and the hospitals' bed-occupancy rate- vary ...
Livia Owen, Jonathan Hoseana, Benny Yong
doaj   +1 more source

Homoclinic and Heteroclinic Bifurcations in Vector Fields [PDF]

, 2010
An overview of homoclinic and heteroclinic bifurcation theory for autonomous vector fields is given. Specifically, homoclinic and heteroclinic bifurcations of codimension one and two in generic, equivariant, reversible, and conservative systems are reviewed, and results pertaining to the existence of multi-round homoclinic and periodic orbits and of ...
Homburg, A.J., Sandstede, B.
openaire   +3 more sources

The bifurcation of homoclinic orbits of maps of the interval [PDF]

Ergodic Theory and Dynamical Systems, 1982
AbstractRelationships involving homoclinic orbits of various periods and the Sarkovskii stratification are given and corresponding bifurcation properties are derived. It is shown that if a continuous map has one homoclinic periodic orbit, it has infinitely many.
Louis Block, David Hart
openaire   +2 more sources

Research on Chaotic Threshold of Giant Magnetostrictive Actuator With Fractional‐Order Time‐Delay Feedback

Shock and Vibration, Volume 2025, Issue 1, 2025.
To reduce the giant magnetostrictive actuator’s (GMA) irregular vibration caused by system parameter changes, we innovatively apply fractional‐order time‐delay feedback to control bifurcation and chaos in the GMA’s nonlinear dynamics. The GMA dynamic equation with feedback control is established using the quadratic domain rotation model, the Jiles ...
Xin Fu, Hongbo Yan, Chaohui Ai, Jianxin Wang, Yan Niu   +4 more
wiley   +1 more source

Tipping mechanisms in a conceptual model of the Atlantic Meridional Overturning Circulation

Weather, Volume 79, Issue 10, Page 316-323, October 2024.
The Atlantic Meridional Overturning Circulation (AMOC) forms an essential component of the global ocean circulation. Paleoclimate records indicate the AMOC's capability to tip between different states that resulted in large global climate impacts Using an AMOC box model, re‐calibrated against a global circulation model, HadGEM3, we present a new ...
Ruth Chapman, Sacha Sinet, Paul D. L. Ritchie   +2 more
wiley   +1 more source

A phenomenological approach to normal form modeling: a case study in laser induced nematodynamics

, 2005
An experimental setting for the polarimetric study of optically induced dynamical behavior in nematic liquid crystal films has allowed to identify most notably some behavior which was recognized as gluing bifurcations leading to chaos.
Azzam R. M. A., Benoît E., C. TONIOLO, C. TRESSER, Carbone V., Cipparrone G., Coullet P., Diener F., G. RUSSO, Gambaudo J. M., Gambaudo J. M., S. RESIDORI, Stokes G. G., Tresser C., Tresser C., Tresser C., Šil'nikov L. P., Šil'nikov L. P.   +17 more
core   +1 more source

Stability, Bifurcation, and Quenching Chaos of a Vehicle Suspension System

Journal of Advanced Transportation, 2018
This study investigated the dynamics and control of a nonlinear suspension system using a quarter-car model that is forced by the road profile. Bifurcation analysis used to characterize nonlinear dynamic behavior revealed codimension-two bifurcation and ...
Chun-Cheng Chen, Shun-Chang Chang
doaj   +1 more source

Transversal homoclinics in nonlinear systems of ordinary differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2000
Bifurcation of transversal homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Fečkan
doaj   +1 more source

Dissipative localized states and breathers in phase-mismatched singly resonant optical parametric oscillators: Bifurcation structure and stability

Physical Review Research, 2022
We study the emergence of dissipative localized states in phase mismatched singly resonant optical parametric oscillators. These states arise in two different bistable configurations due to the locking of front waves connecting the two coexisting states.
P. Parra-Rivas, C. Mas Arabí, F. Leo
doaj   +1 more source