Local Bifurcation Analysis and Global Dynamics Estimation of a Novel 4-Dimensional Hyperchaotic System

DOI10.1142/S0218127417500213zbMath1362.34070OpenAlexW2602150511MaRDI QIDQ5738118

Qing Zhang, Jiezhi Wang, Leilei Zhou, Zeng-Qiang Chen

Publication date: 31 May 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127417500213

zbMATH Keywords

Hopf bifurcationcenter manifold theoremglobal dynamicshyperchaospitchfork bifurcationultimate bound

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45)

Related Items (11)

Multistable dynamics and control of a new 4D memristive chaotic Sprott B system ⋮ Research on Bifurcation and Chaos in a Dynamic Mixed Game System with Oligopolies Under Carbon Emission Constraint ⋮ Dynamic Game Behavior of Retailers Considering the Quality of Substitute Products Based on Delay Decision ⋮ Complex Dynamics in a Triopoly Game with Multiple Delays in the Competition of Green Product Level ⋮ Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium ⋮ Impact Research on a Nonlinear Cold Chain Evolutionary Game Under Three Various Contracts ⋮ Analysis of Pricing and Service Effort in Dual-Channel Supply Chains with Showrooming Effect ⋮ Bifurcations and Hyperchaos in Magnetoconvection of Non-Newtonian Fluids ⋮ The zero-Hopf bifurcations of a four-dimensional hyperchaotic system ⋮ Periodic solutions for a four-dimensional hyperchaotic system ⋮ Ultimate boundary estimation and topological horseshoe analysis on a parallel 4D hyperchaotic system with any number of attractors and its multi-scroll

Cites Work

• Unnamed Item
• Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system
• Hopf bifurcation analysis in a Lorenz-type system
• The analysis of a novel 3-D autonomous system and circuit implementation
• Hopf bifurcation and topological horseshoe of a novel finance chaotic system
• A novel bounded 4D chaotic system
• New ultimate bound sets and exponential finite-time synchronization for the complex Lorenz system
• Local bifurcation analysis and ultimate bound of a novel 4D hyper-chaotic system
• An equation for hyperchaos
• Hyperchaos in coupled Colpitts oscillators.
• Estimating the bounds for the Lorenz family of chaotic systems
• Control and synchronization for a class of new chaotic systems via linear feedback
• On the analysis of local bifurcation and topological horseshoe of a new 4D hyper-chaotic system
• Hyperchaos control of the hyperchaotic Chen system by optimal control design
• Estimations for ultimate boundary of a new hyperchaotic system and its simulation
• Chaos control and synchronization in a fractional neuron network system
• A new butterfly-shaped attractor of Lorenz-like system
• Synchronization and control of hyperchaotic complex Lorenz system
• ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS
• Complex Dynamics in the Unified Lorenz-Type System
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC ATTRACTOR COINED

This page was built for publication: Local Bifurcation Analysis and Global Dynamics Estimation of a Novel 4-Dimensional Hyperchaotic System