Results 71 to 80 of about 328 (171)

Heteroclinic Orbits Seized from Caputo Fractional-Order Lorenz System with Memristor

Fractal and Fractional
By constructing two distinct Lyapunov-like functions and employing concepts of α-/ω-limit sets, this article reinvestigates the Caputo fractional-order ...
Chengzhou Wei, Jun Pan, Guiyao Ke, Haijun Wang   +3 more
doaj   +1 more source

Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system

Results in Physics
In contrast to the coexistence of infinitely many pseudo and true singularly degenerate heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four-dimensional systems, this note reports the ones with nearby bifurcated ...
Haijun Wang, Guiyao Ke, Feiyu Hu, Jun Pan, Qifang Su, Guili Dong, Guang Chen   +6 more
doaj   +1 more source

Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]

Proc Natl Acad Sci U S A, 2023
Pinsky T.
europepmc   +1 more source

Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows [PDF]

SIAM Journal on Mathematical Analysis, 1988
An extension of the planar Smale-Birkhoff homoclinic theorem to the case of a heteroclinic saddle connection containing a finite number of fixed points is presented. This extension is used to find chaotic dynamics present in certain time-periodic perturbations of planar fluid models.
openaire   +1 more source

Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]

Sci Rep, 2023
Wang H, Ke G, Pan J, Su Q.
europepmc   +1 more source

Heteroclinic networks for brain dynamics. [PDF]

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

Heteroclinic orbits in plane dynamical systems.

, 2002
The authors consider boundary value problem \[ \begin{cases} u'' = h (t, u, u'),\\ u (-\infty ) = 0, \quad u (+\infty ) = 1, \end{cases} \] where \(h\) is a continuous function and \(h (t, 0, 0) = h (t, 1, 0)=0\). There are established several conditions guaranteeing the existence and non-existence of the solution of the mentioned problem. The question
MALAGUTI, Luisa, C. Marcelli
openaire   +2 more sources

Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays

Electronic Journal of Differential Equations, 2007
We consider the diffusive single species growth in a plug flow reactor model with distributed delay. For small delay, existence and uniqueness of such wavefronts are proved when the convolution kernel assumes the strong generic delay kernel.
Zhihong Zhao, Yuantong Xu, Yongjin Li
doaj  

Generalized Chaplygin cosmology with changeable-signs interactions

上海师范大学学报. 自然科学版, 2013
Using phase space analysis methods,we discuss two kinds of Generalized Chaplygin cosmology with changeable-signs interactions dynamically.Some new stable attractor solutions and heteroclinic trajectory solutions are found in these two types of models.
XI Ping, HUANG Zhenzi
doaj  

Global dynamics of an SIS compartment model with resource constraints. [PDF]

J Appl Math Comput, 2023
Liu H, Liu C, Feng T.
europepmc   +1 more source