Generating chaos with saddle-focus homoclinic orbit
type: Item
instance of: scholarly article
title: Generating chaos with saddle-focus homoclinic orbit
zbMATH Open document ID: 1543.34044
author: Chaoxia Zhang
author: Shangzhou Zhang
author: Yuqing Zhang
published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
publication date: 2024-05-14T00:00:00Z
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 7848379
zbMATH Keywords: anticontrol of chaos
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: chaotification criterion
zbMATH Keywords: positive Lyapunov exponents
zbMATH Keywords: Poincaré return map
MaRDI profile type: Publication
cites work: An exact homoclinic orbit and its connection with the Rössler system
cites work: The three versions of distributional chaos
cites work: Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems
cites work: Q4217274
cites work: The double scroll family
cites work: Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics
cites work: Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems
cites work: Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function
cites work: Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem
cites work: Homoclinic and heteroclinic orbits in a modified Lorenz system
cites work: A Simple Grid Multiscroll Chaotic Electronic Oscillator Employing CFOAs
cites work: Homoclinic and heteroclinic orbits in the double scroll attractor
cites work: Drawing \(c\)-planar biconnected clustered graphs
cites work: Chua's circuit: rigorous results and future problems
cites work: Shil'nikov's theorem-a tutorial
cites work: The existence of homoclinic orbits in the Lorenz system via the undetermined coefficient method
cites work: Periodically forced double homoclinic loops to a dissipative saddle
cites work: Degenerate T-singularity bifurcation and crossing periodic orbits in a 3-dimensional piecewise smooth system
DOI: 10.1142/S0218127424500111
description: scientific article; zbMATH DE number 7848379