Results 61 to 70 of about 4,320 (200)

Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation

, 2010
We show that Pyragas delayed feedback control can stabilize an unstable periodic orbit (UPO) that arises from a generic subcritical Hopf bifurcation of a stable equilibrium in an n-dimensional dynamical system. This extends results of Fiedler et al. [PRL
Bar-Eli, C.M. Postlethwaite, Campbell, Campbell, Campbell, Crawford, Dombovari, Dombovari, El’sgol’ts, Faria, Fiedler, Fiedler, Field, G. Brown, Golubitsky, Golubitsky, Guckenheimer, Guckenheimer, Hale, Hale, Hassard, Just, Kalmar-Nagy, M. Silber, Montgomery, Nakajima, Nayfeh, Orosz, Orosz, Ott, Postlethwaite, Postlethwaite, Postlethwaite, Pyragas, Pyragas, Pyragas, Pyragas, Pyragas, Pyragas, Qesmi, Sieber, Sparrow, Stone, Strogatz, Stépán, von Loewenich, Wiggins   +46 more
core   +1 more source

Lyapunov Stability and Optimization of a Fractional‐Order HIV/AIDS Model Coupling Vertical Transmission With Saturated Treatment

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This research introduces a fractional‐order nonlinear model for the dynamics of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) using Caputo‐type derivatives of noninteger order. Solution properties of the model are investigated by analyzing positivity and boundedness characteristics via the generalized mean value ...
Sulaimon F. Abimbade, Furaha M. Chuma, Samson Olaniyi, Adekunle O. Sangotola, Gideon K. Gogovi, Shikha Binwal   +5 more
wiley   +1 more source

Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems

Mathematics
This study investigates a class of two-dimensional, two-parameter squared discrete dynamical systems. It determines the conditions for local stability at the fixed points for these proposed systems.
Limei Liu, Xitong Zhong
doaj   +1 more source

Stabilization of localized structures by inhomogeneous injection in Kerr resonators

, 2019
We consider the formation of temporal localized structures or Kerr comb generation in a microresonator with inhomogeneities. We show that the introduction of even a small inhomogeneity in the injected beam widens the stability region of localized ...
Frohoff-Hülsmann, Tobias, Gurevich, Svetlana V., Panajotov, Krassimir, Tabbert, Felix, Tlidi, Mustapha   +4 more
core   +1 more source

Strategic Awareness‐Driven Control of Tuberculosis Dynamics: A Differential Equation Framework

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study develops a deterministic differential equation framework to investigate tuberculosis (TB) transmission while incorporating patient awareness as a behavioral factor influencing treatment initiation and disease dynamics. A core methodological innovation of this study is the explicit integration of behavioral determinants specifically patient ...
Mideksa Tola Jiru, Sathish Kumar Kumaravel, Kassahun Getnet Mekonen, M. Kaviyarasu, Manzoor Hussain   +4 more
wiley   +1 more source

Dynamical Behavior of a Modified Leslie–Gower One Prey–Two Predators with Competition

Mathematics, 2020
We study the dynamics of a modified Leslie–Gower one prey–two predators model with competition between predator populations. The model describes complex dynamics in the permanence, global stability and bifurcation.
Dian Savitri, Agus Suryanto, Wuryansari Muharini Kusumawinahyu, Abadi   +3 more
doaj   +1 more source

Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling [PDF]

, 2001
The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the formation of a ...
A.T. Winfree, D. Hansel, D. Hansel, H. Iglesia, Hiroshi Kori, J. Buck, J.L. Hindmarsh, K. Okuda, K. Wiesenfeld, K. Wiesenfeld, K. Yoshikawa, K.R. Delaney, L. Abbott, R.R. Aliev, S. Raghavachari, S. Watanabe, S.H. Strogatz, Y. Kuramoto, Yoshiki Kuramoto   +18 more
core   +3 more sources

Analysis of a Fractional‐Order Mathematical Model on Crime Dynamics Incorporating Police Force and Rehabilitation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study addresses the limitation of traditional integer‐order crime models that fail to capture memory‐dependent dynamics in criminal behavior. Our objective is to develop and analyze a novel fractional‐order model incorporating media influence, police force, and rehabilitation strategies using the Liouville−Caputo derivative.
Waleed Adel, Mohammad Izadi, Shewafera Wondimagegnhu Teklu, Manalebish Debalike Asfaw, Chang Phang   +4 more
wiley   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

Continuation‐Enhanced Harmonic Balance Method for Nonlinear Dynamics in Rotating Machinery

Shock and Vibration, Volume 2026, Issue 1, 2026.
Nonlinear response conception in rotating machinery, particularly in systems with squeeze film dampers (SFDs), pose significant challenges for established time‐domain numerical methods due to bifurcations and critical points along the response trajectories.
Muhammad Umar, Charles Nutakor, Jussi Sopanen, Yan Niu   +3 more
wiley   +1 more source