Universal approach to the problem of emergence of chaos in autonomous dynamical systems
type: Item
instance of: scholarly article
title: Universal approach to the problem of emergence of chaos in autonomous dynamical systems
zbMATH Open document ID: 1439.34044
author: Vasiliy Ye. Belozyorov
published in: Nonlinear Dynamics
publication date: 2020-08-06T00:00:00Z
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34D45
zbMATH DE Number: 7229130
zbMATH Keywords: chaotic attractor
zbMATH Keywords: \(1D\) exponential discrete map
zbMATH Keywords: degenerate system
zbMATH Keywords: periodic orbits
zbMATH Keywords: Jacobian matrix
zbMATH Keywords: saddle point
MaRDI profile type: Publication
full work available at URL: s11071-018-4584-4
OpenAlex ID: W2897706595
cites work: Regularity and complexity in dynamical systems
cites work: Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations
cites work: General Method of Construction of Implicit Discrete Maps Generating Chaos in 3D Quadratic Systems of Differential Equations
cites work: Exponential-Algebraic Maps and Chaos in 3D Autonomous Quadratic Systems
cites work: Research of chaotic dynamics of 3D autonomous quadratic systems by their reduction to special 2D quadratic systems
cites work: Role of logistic and Ricker's maps in appearance of chaos in autonomous quadratic dynamical systems
cites work: Dynamical behaviors of a chaotic system with no equilibria
cites work: Synchronization behaviors of coupled systems composed of hidden attractors
cites work: A new finding of the existence of hidden hyperchaotic attractors with no equilibria
cites work: Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system
cites work: A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points
cites work: A no-equilibrium hyperchaotic system and its fractional-order form
cites work: Hidden extreme multistability in memristive hyperchaotic system
cites work: Fractional-order and memristive nonlinear systems: advances and applications
cites work: Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems
cites work: On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems
cites work: Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo
cites work: Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo
cites work: Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
cites work: Q3128877
cites work: Quadratic model of inter-population interaction: investigation of stability areas
Wikidata QID: Q129067221
DOI: 10.1007/S11071-018-4584-4
description: scientific article; zbMATH DE number 7229130