An exact homoclinic orbit and its connection with the Rössler system
type: Item
instance of: scholarly article
title: An exact homoclinic orbit and its connection with the Rössler system
zbMATH Open document ID: 1396.37027
published in: Physics Letters. A
publication date: 2018-09-24T00:00:00Z
Mathematics Subject Classification ID: 37C29
zbMATH DE Number: 6941864
zbMATH Keywords: Rössler system
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: triple-zero degeneracy
author: Antonio Algaba
author: Emilio Freire Macías
author: Estanislao Gamero
author: Alejandro J. Rodríguez-Luis
describes a project that uses: AUTO-07P
describes a project that uses: AUTO
describes a project that uses: HomCont
MaRDI profile type: Publication
full work available at URL: j.physleta.2015.02.017
OpenAlex ID: W1978787160
cites work: An equation for continuous chaos
cites work: Q3878949
cites work: Chaos-hyperchaos transition in coupled Rössler systems
cites work: Chaos Q-S synchronization between Rössler system and the new unified chaotic system
cites work: Impulsive synchronization of Rössler systems with parameter driven by an external signal
cites work: A global qualitative view of bifurcations and dynamics in the Rössler system
cites work: Adaptive modified function projective synchronization of multiple time-delayed chaotic Rössler system
cites work: Periodic orbits and their stability in the Rössler prototype-4 system
cites work: Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors
cites work: Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria
cites work: Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields
cites work: New aspects in the unfolding of the nilpotent singularity of codimension three
cites work: Cocoon bifurcation in three-dimensional reversible vector fields
cites work: A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
cites work: RESONANCES OF PERIODIC ORBITS IN RÖSSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION
cites work: ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A DOUBLE PENDULUM
cites work: Q4400449
cites work: Zero singularities of codimension two and three in delay differential equations
cites work: Steady solutions of the Kuramoto-Sivashinsky equation
cites work: T-points: A codimension two heteroclinic bifurcation
cites work: T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis
cites work: Analysis of the T-point-Hopf bifurcation in the Lorenz system
cites work: Noose bifurcation of periodic orbits
cites work: Elements of applied bifurcation theory
cites work: NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
cites work: Q3099080
cites work: Q5509205
cites work: A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
cites work: Bifurcation of systems with homoclinic curve of a saddle-focus with saddle quantity zero
cites work: Complexity in the bifurcation structure of homoclinic loops to a saddle-focus
cites work: Homoclinic interactions near a triple-zero degeneracy in Chua's equation
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Unbounded dynamics in dissipative flows: Rössler model
DOI: 10.1016/J.PHYSLETA.2015.02.017
description: scientific article; zbMATH DE number 6941864