Bifurcation analysis and chaos control in Shimizu-Morioka chaotic system with delayed feedback
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Publication:279906
DOI10.1016/j.amc.2014.05.072zbMath1335.37013OpenAlexW2005121612MaRDI QIDQ279906
M. T. Yassen, E. S. Aly, Mohamed M. El-Dessoky
Publication date: 29 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.072
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Cites Work
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- Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems
- Heteroclinic orbits in the \(T\) and the Lü systems
- Si'lnikov chaos and Hopf bifurcation analysis of Rucklidge system
- On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations
- A new method to find homoclinic and heteroclinic orbits
- Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop
- On dynamics analysis of a new chaotic attractor
- Degenerate Hopf bifurcations in the Lü system
- Hopf-transcritical bifurcation in retarded functional differential equations
- Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
- Theory of functional differential equations. 2nd ed
- Elements of applied bifurcation theory.
- A new chaotic attractor
- Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I
- Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
- The existence of homoclinic orbits to saddle-focus
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Global dynamics and bifurcations in a four-dimensional replicator system
- Simplest dissipative chaotic flow.
- Shil'nikov homoclinic orbits in a new chaotic system
- Complex Dynamical Behaviors of the Chaotic Chen's System
- A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM
- CHAOTIC ATTRACTORS OF THE CONJUGATE LORENZ-TYPE SYSTEM
- A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
- Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
- Controlling chaos
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- HOPF BIFURCATION CONTROL USING NONLINEAR FEEDBACK WITH POLYNOMIAL FUNCTIONS
- A NEW CHAOTIC ATTRACTOR COINED