Hopf bifurcation analysis and ultimate bound estimation of a new 4-D quadratic autonomous hyper-chaotic system
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Publication:1733759
DOI10.1016/j.amc.2016.07.023zbMath1410.34119OpenAlexW2476632508MaRDI QIDQ1733759
Publication date: 21 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.07.023
Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Cites Work
- Unnamed Item
- Complex dynamics in a 5-D hyper-chaotic attractor with four-wing, one equilibrium and multiple chaotic attractors
- Chaotification for a class of cellular neural networks with distributed delays
- Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
- Dynamic analysis and control of a new hyperchaotic finance system
- Hopf bifurcation analysis and numerical simulation in a 4D-hyperchaotic system
- Local bifurcation analysis and ultimate bound of a novel 4D hyper-chaotic system
- Secure communications based on the synchronization of the hyperchaotic Chen and the unified chaotic systems
- Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion
- Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications
- An equation for hyperchaos
- Estimating the ultimate bound and positively invariant set for the hyperchaotic Lorenz-Haken system
- Bounds of the hyper-chaotic Lorenz-Stenflo system
- Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
- Hopf bifurcation and intermittent transition to hyperchaos in a novel strong four-dimensional hyperchaotic system
- Hyperchaotic attractors from a linearly controlled Lorenz system
- Bifurcation analysis of a mathematical model for genetic regulatory network with time delays
- Stability switches and Hopf bifurcations of an isolated population model with delay-dependent parameters
- Stability and Hopf bifurcation of a Lorenz-like system
- Time series properties of an artificial stock market
- A new color image cryptosystem via hyperchaos synchronization
- Dynamics of a hyperchaotic Lorenz-type system
- A four-wing hyper-chaotic attractor and transient chaos generated from a new 4-D quadratic autonomous system
- Chaos and Hopf bifurcation of a finance system
- A time-varying hyperchaotic system and its realization in circuit
- Explicit ultimate bound sets of a new hyperchaotic system and its application in estimating the Hausdorff dimension
- ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS
- DYNAMICS OF A HYPERCHAOTIC LORENZ SYSTEM
- HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS
- An ultimate bound on the trajectories of the Lorenz system and its applications
- On estimates of the Hausdorff dimension of invariant compact sets
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
- HYPERCHAOS IN A MODIFIED CANONICAL CHUA'S CIRCUIT
- A NEW CHAOTIC ATTRACTOR COINED
- BIFURCATION ANALYSIS OF CHEN'S EQUATION
- Elements of applied bifurcation theory
