Results 61 to 70 of about 5,108 (187)
Bifurcations and dynamics in convection with temperature-dependent viscosity in the presence of the O(2) symmetry [PDF]
, 2013 We focus the study of a convection problem in a 2D setup in the presence of the O(2) symmetry. The viscosity in the fluid depends on the temperature as it changes its value abruptly in an interval around a temperature of transition.
Curbelo, Jezabel, Mancho, Ana M.
core +4 more sources
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha +2 more
wiley +1 more source
Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems
Abstract and Applied Analysis, 2014 We study the number and distribution of limit cycles of some planar Z4-equivariant quintic near-Hamiltonian systems. By the theories of Hopf and heteroclinic bifurcation, it is proved that the perturbed system can have 24 limit cycles with some new ...
Simin Qu +3 more
doaj +1 more source
New approach to study the van der Pol equation for large damping
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a new approach to establish the existence of a unique limit cycle for the van der Pol equation in case of large damping. It is connected with the bifurcation of a stable hyperbolic limit cycle from a closed curve composed of two heteroclinic ...
Klaus Schneider
doaj +1 more source
Stability and bifurcations of heteroclinic cycles of type Z
, 2012 Dynamical systems that are invariant under the action of a non-trivial symmetry group can possess structurally stable heteroclinic cycles. In this paper we study stability properties of a class of structurally stable heteroclinic cycles in R^n which we ...
Podvigina, Olga
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Bifurcation Diagrams and Heteroclinic Networks of Octagonal H-Planforms [PDF]
Journal of Nonlinear Science, 2012 The mechanism of pattern formation in the Euclidian space \(\mathbb{R}^p\) is well known and described in detail in many works on equivariant bifurcation theory. In a previous work of the second author, \textit{G. Fave} and \textit{O. Fangeras} [J. Nonlinear Sci. 21, No.
Faye, Grégory, Chossat, Pascal
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Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi +3 more
wiley +1 more source
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 +31 more
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Bifurcation from a Heteroclinic Solution in Differential Delay Equations [PDF]
Transactions of the American Mathematical Society, 1985 Consider differential delay equations \(\dot x(\)t)\(=af(x(t-1))\) with periodic nonlinearity \(f: R\to R\) of class \(C^ 1\) and parameter \(a>0\). First, we prove that - under additional assumptions on the graph of f - there exists a parameter \(a_ 0\) with a heteroclinic solution connecting the equilibria given by zeros \(A0\) of f, where B-A is the
Walther, Hans-Otto +1 more
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Stability of N‐front and N‐back solutions in the Barkley model
GAMM-Mitteilungen, Volume 48, Issue 1, March 2025.ABSTRACT In this article, we establish for an intermediate Reynolds number domain the stability of N$$ N $$‐front and N$$ N $$‐back solutions for each N>1$$ N>1 $$ corresponding to traveling waves, in an experimentally validated model for the transition to turbulence in pipe flow proposed in [Barkley et al., Nature 526(7574):550‐553, 2015]. We base our
Christian Kuehn, Pascal Sedlmeier
wiley +1 more source