Limit cycles bifurcating of Kolmogorov systems in R2 and in R3-Reference-Cited by-同舟云学术

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Limit cycles bifurcating of Kolmogorov systems in R2 and in R3

Published:2020-12 Issue: Volume:91 Page:105401
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Llibre Jaume^ORCID,Martínez Y. Paulina^ORCID,Valls Claudia

Funder

H2020 European Research Council

FCT

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference20 articles.

1. Averaging methods for finding periodic orbits via brouwer degree;Buicá;Bull Sci Math,2004

2. Transition to turbulence via the statistical limit cycle rout;Busse,1978

3. Three-dimensional hopf bifurcation for a class of cubic Kolmogorov model;Du;Internat J Bifur Chaos Appl Sci Eng,2014

4. On a codimension two bifurcation, dynamical systems and turbulence;Guckenheimer,1981

5. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields;Guckenheimer,2002

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1. Coexistence and ergodicity in a variant Nosé-Hoover oscillator and its FPGA implementation;Nonlinear Dynamics;2023-02-27

2. Hopf bifurcation problems near double positive equilibrium points for a class of quartic Kolmogorov model;AIMS Mathematics;2023

3. Integrability and Non-Existence of Periodic Orbits for a Class of Kolmogorov Systems;Tatra Mountains Mathematical Publications;2022-11-01

4. Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator;Chaos, Solitons & Fractals;2022-05

5. HOPF BIFURCATION PROBLEM FOR A CLASS OF KOLMOGOROV MODEL WITH A POSITIVE NILPOTENT CRITICAL POINT;Journal of Applied Analysis & Computation;2022

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