Results 81 to 90 of about 3,877 (218)

Chaos Control, Codimension‐One and Codimension‐Two 1 : 2 Strong Resonance Bifurcation Analysis of a Predator‐Prey Model with Holling Types I and III Functional Responses

Complexity, Volume 2024, Issue 1, 2024.
We study the existence of fixed points, local stability analysis, bifurcation sets at fixed points, codimension‐one and codimension‐two bifurcation analysis, and chaos control in a predator‐prey model with Holling types I and III functional responses. It is proven that the model has a trivial equilibrium point for all involved parameters but interior ...
Abdul Qadeer Khan, Syeda Noor-ul-Huda Naqvi, Shaimaa A. A. Ahmed, Waleed A. I. El-Morsi, Carlos Aguilar-Ibanez   +4 more
wiley   +1 more source

An Example of Symmetry Breaking to Heteroclinic Cycles

Journal of Differential Equations, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Chuanze, Golubitsky, Martin
openaire   +1 more source

Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term

Open Physics
In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be ...
Pan Jun, Wang Haijun, Ke Guiyao, Hu Feiyu   +3 more
doaj   +1 more source

Creation of hidden $ n $-scroll Lorenz-like attractors

Electronic Research Archive
Compared with the recently reported hidden two-scroll Lorenz-like attractors in symmetric quadratic and sub-quadratic Lorenz-like dynamical systems, little seems to be concerned with the generation of hidden $ n $-scroll ($ n\in\mathbb{N} $) attractors ...
Jun Pan, Haijun Wang, Feiyu Hu
doaj   +1 more source

Homoclinic and Heteroclinic Neural ODEs: Theory and Its Use to Construct New Chaotic Attractors

Journal of Optimization, Differential Equations and Their Applications
New types of neural ordinary differential equations (NODE) with power nonlinearities are considered. For these NODE systems, new conditions for the existence of homoclinic and heteroclinic orbits are found.
Vasiliy Ye. Belozyorov, Dmytro M. Moroz, Svetlana A. Volkova   +2 more
doaj   +1 more source

Stabilization of heterodimensional cycles

, 2011
We consider diffeomorphisms $f$ with heteroclinic cycles associated to saddles $P$ and $Q$ of different indices. We say that a cycle of this type can be stabilized if there are diffeomorphisms close to $f$ with a robust cycle associated to hyperbolic ...
C Bonatti, Ch. Bonatti, Ch. Bonatti, Ch. Bonatti, Ch. Bonatti, Ch. Bonatti, Ch. Bonatti, Ch. Bonatti, Conley C, L J Díaz, Moreira C, Palis J, Palis J, S Kiriki, Shinohara K   +14 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

Heteroclinic networks for brain dynamics. [PDF]

Front Netw Physiol, 2023
Meyer-Ortmanns H.
europepmc   +1 more source

Chaos in Coupled Heteroclinic Cycles Between Weak Chimeras

Regular and Chaotic Dynamics
15 pages, 8 ...
Emelin, Artyom E., Grines, Evgeny A., Levanova, Tatiana A.   +2 more
openaire   +2 more sources

Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity [PDF]

, 2021
Nicholas W. Barendregt, Peter Thomas
openalex   +1 more source