Results 71 to 80 of about 5,108 (187)
Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections
, 2007 We propose new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary conditions.
Afraimovich V. S. +5 more
core +4 more sources
BIFURCATIONS OF TWISTED FINE HETEROCLINIC LOOP FOR HIGH-DIMENSIONAL SYSTEMS
Journal of Applied Analysis & Computation, 2023 Summary: In the paper, under twisted conditions, we consider the bifurcation problem of the fine heteroclinic loop with two hyperbolic critical points for high-dimensional systems. By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits as the local coordinate system in the small ...
Jin, Yinlai +3 more
openaire +1 more source
A Multiparameter Singular Perturbation Analysis of the Robertson Model
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
wiley +1 more source
Nonlinear semelparous Leslie models
Mathematical Biosciences and Engineering, 2005 In this paper we consider the bifurcations that occur at the trivial equilibrium of a general class of nonlinear Leslie matrix models for the dynamics of a structured population in which only the oldest class is reproductive.
J. M. Cushing
doaj +1 more source
Excitability in a nonlinear magnetoacoustic resonator
, 2006 We report a nonlinear acoustic system displaying excitability. The considered system is a magnetostrictive material where acoustic waves are parametrically generated.
F. Plaza +8 more
core +1 more source
Bifurcations of a Pair of Nonorientable Heteroclinic Cycles
Journal of Mathematical Analysis and Applications, 1998 The authors study some bifurcation problems of a pair of nonorientable heteroclinic cycles of vector fields, which are related to the study of Lorenz equations. The presence of both nonorientable cycles provides \(\Omega\)-explosion. The authors analyze what kinds of bifurcation behaviour happen for a generic two-parameter unfolding of a system with a ...
Dongwen, Qi, Zhujun, Jing
openaire +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
Stability of Standing Periodic Waves in the Massive Thirring Model
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We analyze the spectral stability of the standing periodic waves in the massive Thirring model in laboratory coordinates. Since solutions of the linearized MTM equation are related to the squared eigenfunctions of the linear Lax system, the spectral stability of the standing periodic waves can be studied by using their Lax spectrum.
Shikun Cui, Dmitry E. Pelinovsky
wiley +1 more source
Singular Orbits and Dynamics at Infinity of a Conjugate Lorenz-Like System
Mathematical Modelling and Analysis, 2015 A conjugate Lorenz-like system which includes only two quadratic nonlinearities is proposed in this paper. Some basic properties of this system, such as the distribution of its equilibria and their stabilities, the Lyapunov exponents, the bifurcations ...
Fengjie Geng, Xianyi Li
doaj +1 more source
Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems
Complexity, 2021 The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the notion of well ...
Jorge A. Amador +3 more
doaj +1 more source