Analysis of the T-point-Hopf bifurcation in the Lorenz system
From MaRDI portal
Publication:907634
DOI10.1016/j.cnsns.2014.09.025zbMath1329.37082OpenAlexW2092216631MaRDI QIDQ907634
Manuel Merino, Antonio Algaba, Alejandro J. Rodríguez-Luis, Fernando Fernández-Sánchez
Publication date: 26 January 2016
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.09.025
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcations of singular points in dynamical systems (37G10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (8)
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system ⋮ Finding First Foliation Tangencies in the Lorenz System ⋮ Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system ⋮ Superluminal periodic orbits in the Lorenz system ⋮ Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\) ⋮ (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model ⋮ Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems ⋮ An exact homoclinic orbit and its connection with the Rössler system
Uses Software
Cites Work
- Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems
- Bifurcations of an optically pumped three-level laser model
- Bounds for the chaotic region in the Lorenz model
- A three-parametric study of the Lorenz model
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Nonlinear dynamos: A complex generalization of the Lorenz equations
- Local and global behavior near homoclinic orbits
- T-points: A codimension two heteroclinic bifurcation
- Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
- On systems with separatrix contour containing two saddle-foci.
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T-point
- On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
- Chaos in a low-order model of magnetoconvection
- The bifurcations of separatrix contours and chaos
- Attractors in a Šil'nikov-Hopf scenario and a related one-dimensional map
- Shilnikov-Hopf bifurcation
- Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model
- A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point
- Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis
- T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis
- Accumulations of \(T\)-points in a model for solitary pulses in an excitable reaction-diffusion medium
- The non-transverse Shil'nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations
- The stability of traveling calcium pulses in a pancreatic acinar cell
- Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium
- Cooperative catalysis and chemical chaos: A chemical model for the Lorenz equations
- Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors
- Analysis of the T-point-Hopf bifurcation
- HOMOCLINIC INTERACTIONS NEAR A TRIPLE-ZERO DEGENERACY IN CHUA'S EQUATION
- Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB
- Bifurcations ofn-homoclinic orbits in optically injected lasers
- OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION
- THE STRUCTURE OF INFINITE PERIODIC AND CHAOTIC HUB CASCADES IN PHASE DIAGRAMS OF SIMPLE AUTONOMOUS FLOWS
- ANALYSIS OF THE T-POINT–HOPF BIFURCATION WITH ℤ2-SYMMETRY: APPLICATION TO CHUA'S EQUATION
- Diffusion Induced Chaos in a Closed Loop Thermosyphon
- Chaos in magnetoconvection
- NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
- Parameter dependence of homoclinic solutions in a single long Josephson junction
- Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity
- Systematics of the Lorenz Model at σ = 10
- Gluing unstable fronts and backs together can produce stable pulses
- Deterministic Nonperiodic Flow
- SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY
- CLOSED CURVES OF GLOBAL BIFURCATIONS IN CHUA'S EQUATION: A MECHANISM FOR THEIR FORMATION
- BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION
- A Two-Parameter Study of the Locking Region of a Semiconductor Laser Subject to Phase-Conjugate Feedback
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS
- Homoclinic and Heteroclinic Bifurcations Close to a Twisted Heteroclinic Cycle
- Elements of applied bifurcation theory
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Analysis of the T-point-Hopf bifurcation in the Lorenz system
