Results 31 to 40 of about 1,457 (83)
Oscillations in three‐reaction quadratic mass‐action systems
Studies in Applied Mathematics, Volume 152, Issue 1, Page 249-278, January 2024.Abstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Murad Banaji +2 more
wiley +1 more source
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
, 2010 We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic points.
Catalan, Thiago, Tahzibi, Ali
core +1 more source
Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.Transmission of COVID‐19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the treatment to overcome it.
Ario Wiraya +6 more
wiley +1 more source
Dynamical Properties of Gaussian Thermostats [PDF]
, 2013 In this work we show that the set of Kupka-Smale Gaussian thermostats on a compact manifold is generic. A Gaussian thermostat is Kupka-Smale if the closed orbits are hyperbolic and the heteroclinic intersection are transversal. We also show a dichotomy
Latosinski, Ivana, Pujals, Enrique
core
Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region
, 2006 A method of controlling Shil'nikov's type chaos using windows that appear in the 1 dimensional bifurcation diagram when perturbations are applied, and using existence of stable homoclinic orbits near the unstable one is presented and applied to the ...
Furui, Sadataka, Niiya, Shohei
core +1 more source
Bifurcation in a G0 Model of Hematological Stem Cells With Delay
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The periodical dynamics of a G0 cell cycle model of pluripotential stem cells is analyzed by DDE‐Biftool software. The cell cycle model is impressed by modeling the optional choice of Hill function, which is benefited by Fourier transformation. The cell cycle is based on DDEs with distributed time delay, in which the kernel function is denoted by Gamma‐
Ma Suqi +2 more
wiley +1 more source
No elliptic islands for the universal area-preserving map
, 2011 A renormalization approach has been used in \cite{EKW1} and \cite{EKW2} to prove the existence of a \textit{universal area-preserving map}, a map with hyperbolic orbits of all binary periods.
Bunimovich L A +21 more
core +1 more source
Chaos and Shadowing Lemma for Autonomous Systems of Infinite Dimensions
, 2002 For finite-dimensional maps and periodic systems, Palmer rigorously proved Smale horseshoe theorem using shadowing lemma in 1988. For infinite-dimensional maps and periodic systems, such a proof was completed by Steinlein and Walther in 1990, and Henry ...
Li, Yanguang Charles
core +1 more source
Imperfect Homoclinic Bifurcations
, 2001 Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations.
A. Arnéodo +23 more
core +1 more source
Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations
, 2015 The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process.
Guckenheimer, John, Lizarraga, Ian
core +1 more source