Period-1 to period-4 motions in a 5D Lorenz system

DOI10.1142/S0218127424500652zbMATH Open1546.3409MaRDI QIDQ6538963

Albert C. J. Luo, Siyu Guo

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

saddle-node bifurcationhomoclinic orbitsperiod-doubling bifurcationperiodic motionsbifurcation trees5D Lorenz system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Title not available (Why is that?)
• Multiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillator
• Structural stability of Lorenz attractors
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• The structure of Lorenz attractors
• A proof that the Lorenz equations have a homoclinic orbit
• Analytic approximation of the homoclinic orbits of the Lorenz system at \(\sigma=10\), \(b=8/3\) and \(\rho=13. 926\dots\)
• Discretization and implicit mapping dynamics
• The Adaptive Synchronization of the Stochastic Fractional-order Complex Lorenz System
• Periodic Solutions and Bifurcation Structure at High R in the Lorenz Model
• The Lorenz attractor exists
• Symbolic dynamics and periodic orbits of the Lorenz attractor*
• The Lorenz System: II. The Homoclinic Convolution of the Stable Manifolds
• The Lorenz System: I. The Global Structure of its Stable Manifolds
• Exact Lyapunov dimension of attractors and convergence for the Lorenz system
• Deterministic Nonperiodic Flow
• Homoclinic Solutions in Bazykin’s Predator-Prey Model
• Computational Complex Dynamcs of the Discrete Lorenz System
• Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
• ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II

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