Results 81 to 90 of about 3,779 (211)

Effect of Noise on Excursions To and Back From Infinity

, 2001
The effect of additive white noise on a model for bursting behavior in large aspect-ratio binary fluid convection is considered. Such bursts are present in systems with nearly square symmetry and are the result of heteroclinic cycles involving infinite ...
Ashwin, Batiste, Benzi, Benzi, Benzi, Busse, Feng, Gammaitoni, Georgiou, Honeycutt, Hughes, Jeff Moehlis, Knobloch, Knobloch, Knobloch, Knobloch, Kuske, Landsberg, Lythe, Lythe, Moehlis, Moehlis, Riecke, Silber, Simonelli, Steindl, Stone, Stone, Stone, Sullivan, Swift, Wiesenfeld   +31 more
core   +2 more sources

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

Heteroclinic cycles emanating from local bifurcations

Manuscripta Mathematica, 1994
The paper deals with a two-parameter system of ordinary differential equations on \(\mathbb{R}^ n\) \((1) : \dot x = f(x, \lambda, \alpha)\), where \(f\) is \(Z_ 2\)-symmetric, i.e. there exists a linear mapping \(g : \mathbb{R}^ n \to \mathbb{R}^ n\) such that \(g^ 2 = I\), \(g \neq I\) and \(gf(x, \lambda, \alpha) = f(gx, \lambda, \alpha)\) for all \(
Wu, Wei, Zou, Yongkui, Huang, Mingyou
openaire   +3 more sources

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

Stability of heteroclinic cycles: a new approach

, 2022
This paper analyses the stability of cycles within a heteroclinic network lying in a three-dimensional manifold formed by six cycles, for a one-parameter model developed in the context of game theory. We show the asymptotic stability of the network for a range of parameter values compatible with the existence of an interior equilibrium and we describe ...
Peixe, Telmo, Rodrigues, Alexandre A.
openaire   +2 more sources

Bianchi Cosmologies with Anisotropic Matter: Locally Rotationally Symmetric Models

, 2009
The dynamics of cosmological models with isotropic matter sources (perfect fluids) is extensively studied in the literature; in comparison, the dynamics of cosmological models with anisotropic matter sources is not.
Andréasson, Barrow, Belinskiǐ, Calogero, Calogero, Calogero, Calogero, Calogero, Coley, Collins, Collins, Ehlers, Fjällborg, Hawking, Heinzle, Heinzle, Heinzle, Horwood, J. Mark Heinzle, Kantowski, LeBlanc, Lin, Maartens, Maartens, MacCallum, Perko, Petrov, Rendall, Ringström, Saha, Saletan, Simone Calogero, Uggla, Wainwright, Wald   +34 more
core   +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

Heteroclinic networks for brain dynamics. [PDF]

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