Results 31 to 40 of about 2,052 (114)

Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations

, 2015
The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process.
Guckenheimer, John, Lizarraga, Ian
core   +1 more source

Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.
In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
wiley   +1 more source

Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

, 2010
We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.Comment: 18 pages, 4 ...
Hertz, F. Rodriguez, Hertz, M. A. Rodriguez, Tahzibi, A., Ures, R.   +3 more
core   +1 more source

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son, Kannan Krithivasan   +3 more
wiley   +1 more source

Intersections of Lagrangian submanifolds and the Mel'nikov 1-form

, 2006
We make explicit the geometric content of Mel'nikov's method for detecting heteroclinic points between transversally hyperbolic periodic orbits.
Abraham, Arnol’d, Chierchia, Colin de Verdière, Delshams, Delshams, Eliasson, Fenichel, Holmes, Lochak, Mel’nikov, Nicolas Roy, Weinstein, Wiggins, Zung   +14 more
core   +1 more source

Stability and Bifurcation Analysis of a Predator–Prey Model With Generalized Allee Effect on the Prey Population

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This research describes a predator–prey system that takes into account the generalized Allee effect, aiming to derive general conclusions applicable to specific Allee effect functions through the use of a generalized function. To make sure the suggested model was accurate from a mathematical perspective, we first investigated the solutions to determine
Gaji Zhuo, Hua Liu, Danyang Li, Qibin Zhang, Yumei Wei, A. M. Nagy   +5 more
wiley   +1 more source

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

Generic Hamiltonian Dynamics

, 2015
In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C2-residual R in the set of C2 Hamiltonians on a closed symplectic manifold M, such that, for any H in R, there is a full measure subset of energies e in H(M ...
Bessa, Mario, Ferreira, Celia, Rocha, Jorge, Varandas, Paulo   +3 more
core   +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

Hyperbolic periodic points for chain hyperbolic homoclinic classes

, 2015
In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbolicity setting.
Sun, Wenxiang, Yang, Yun
core   +1 more source